detailed design of ethylene fractionator
DESCRIPTION
Separation column are one of the most essential equipment used in distillation of liquid mixtures to separate the mixture into its component parts, or fractions, based on the differences in volatilities, by the application and removal of heat. The lighter product will be separated at the top and the heavier product will be separated at the bottom. Hence, the design is necessary to determine the optimum design and to ensure that the design is viable economically and environmentally.TRANSCRIPT
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PLANT DESIGN PROJECT PRODUCTION OF ACETIC ACID AND
METHANOL
GROUP NO 18
SHEET
JOB CODE A
DESIGNER MUHAMAD FAIZ BIN ISHAK
(11151)
DETAILED DESIGN OF
MAJOR EQUIPMENT
METHANOL REACTOR (R-201)
And
DESIGN OF MINOR EQUIPMENT
COMPRESSOR (K-301)
PUMP (P-203)
DOC NO
DESCRIPTION PREPARED
BY REVIEWED
BY DATE
01 GENERAL DESCRIPTION MF 21/4/12
02 PROCESS DESIGN MF 21/4/12
03 MECHANICAL DESIGN MF 21/4/12
04 SPECIFICATION SHEET AND DRAWING MF 21/4/12
05 COSTING MF 21/4/12
06 OPERATING MANUAL MF 21/4/12
07 MINOR EQUIPMENT DESIGN 1 MF 21/4/12
08 MINOR EQUIPMENT DESIGN 2 MF 21/4/12
INFORMATION CONTAINED IS OUR PROPERTY AND MUST NOT BE USED BY OR CONVEYED TO ANY PERSON WITHOUT AUTHORITY
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TABLE OF CONTENT
1. GENERAL DESCRIPTION 6
1.1. INTRODUCTION 6
1.2. DESIGN METHODOLOGY 6
1.3. FEEDSTOCK, REACTION AND RATE OF REACTION 8
1.4. REACTOR SELECTION 9
1.5. THERMAL AND BED ARRANGEMENT 12
2. PROCESS DESIGN 14
2.1. OPERATING CONDITIONS 14
2.2. REACTOR VOLUME DETERMINATION 17
2.3. CATALYST 22
2.4. TUBE SELECTION 22
2.5. NUMBER OF TUBES REQUIRED 22
2.6. PRESSURE DROP ON TUBE 23
2.7. TUBE LENGTH SUITABILITY CHECKING 24
2.8. TUBE THICKNESS SUITABILITY CHECKING 25
2.9. TUBE ARRANGEMENT 26
2.10. TUBE-SHEET LAYOUT 26
2.11. SHELL INSIDE DIAMETER, DS 27
2.12. BAFFLE DIAMETER 27
2.13. HEAT REMOVAL SYSTEM OF REACTOR 28
2.14. AMOUNT OF COOLANT NEEDED 28
2.15. HEAT TRANSFER AREA CHECKING 29
2.16. PRESSURE DROP ON SHELL SIDE 32
3. MECHANICAL DESIGN 35
3.1. REACTOR DESIGN PRESSURE 35
3.2. REACTOR DESIGN TEMPERATURE 36
3.3. REACTOR CYLINDRICAL VESSEL THICKNESS 37
3.4. BAFFLE CUT 38
3.5. REACTOR CLOSURES (HEAD AND CLOSURE) 39
3.6. HEIGHT OF REACTOR 40
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3.7. DESIGN OF BOLTED FLANGE JOINTS 41
3.8. GASKET DESIGN 41
3.9. BOLT SIZING 44
3.10. DESIGN OF FLANGE 48
3.11. REACTOR WEIGHT 51
3.12. WEIGHT OF SHELL 52
3.13. TOTAL WEIGHT OF BAFFLES PLATE 53
3.14. WEIGHT OF TUBES 53
3.15. WEIGHT OF FLUID IN REACTOR 54
3.16. WEIGHT OF INSULATION MATERIAL 55
3.17. WIND LOADING 55
3.18. PRESSURE STRESSES 56
3.19. DEAD WEIGHT STRESS 56
3.20. BENDING STRESS 56
3.21. ELASTIC STABILITY (BUCKLING) 58
3.22. REACTOR SUPPORT 59
3.23. NOZZLES SIZING 61
3.24. FEED NOZZLE 61
3.25. OUTLET PRODUCT NOZZLE 62
3.26. COOLING WATER INLET NOZZLE 63
3.27. COOLING WATER OUTLET NOZZLE 63
4. SPECIFICATION SHEET 64
5. COST ESTIMATION 68
6. OPERATING MANUAL PROCEDURE 69
6.1. SCOPE AND OBJECTIVE 69
6.2. STANDARD OPERATING CONDITION 69
6.3. PROCEDURES 70
6.4. CATALYST CHANGE OUT PROCEDURE 72
7. MINOR EQUIPMENT DESIGN 1: COMPRESSOR 79
8. MINOR EQUIPMENT DESIGN 2: PUMP 85
8.1. INTRODUCTION 85
8.2. SELECTION OF THE PUMP TYPE 85
8.3. PROCESS DESIGN 86
9. REFERENCES 92
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LIST OF FIGURES
Figure 1.1: Graph of Economic Potential Vs Purge Fraction
Figure 1.2: Types of Fixed-bed catalytic reactor
Figure 2.1: Temperature profiles for co-current flow
Figure 3.1: Torispherical flanged standard dished head
Figure 3.2: Full Face Flange
Figure 3.3: Gasket Width
Figure 3.4: Bolt Sizing
Figure 3.5: Bolt Spacing
Figure 3.6: Position of Gasket on Flange
Figure 3.7: Resultant Stress of Reactor
Figure 6.1: Vacuum System for Unloading Catalyst
Figure 6.2: Installation of Thermocouple
Figure 7.1: Four types of compressor, centrifugal, axial, reciprocating and rotary
compressor (clockwise) (Saeid et al. 2006)
Figure 7.2: Approximate polytrophic efficiency centrifugal and axial flow
compressor (Sinnot 2000)
Figure 8.1: Schematic diagram of basic element of a diaphragm pump
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LIST OF TABLES
Table 1.1: Reactor Type Screening
Table 1.2: The advantages and disadvantages of FBR and MTFBR
Table 1.3: Main characteristics of Fixed-bed multi tubular reactor
Table 2.1: Feed Stream Composition
Table 2.2: Outlet Stream Composition
Table 2.3: Stoichiometric table for methanol process
Table 2.4: R-201 Coolant Information
Table 3.1: Bolt Sizing
Table 4.1: Specification Sheet for Methanol reactor, R-201
Table 5.1: Correction factor for pressure vessels
Table 7.1: Specification Sheet for compressor K-301
Table 8.1: Properties of process streams of P-203
Table 8.2: Pipe roughness
Table 8.3: Specification Sheet for pump P-203
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CHAPTER 1
GENERAL DESCRIPTION
1.1 INTRODUCTION
The major equipment that will be discussed in this paper is methanol reactor. The
process design begins with the centre of the process, which is reaction conversion
and it is important criteria to have a good reaction conversion. This will determine
the economic viability of the overall design and fundamentally important to the
environment as well.
This will also give impact to the decision of choosing between one shell and multiple
contact tubes multi-tubular fixed bed reactors to be use in the methanol conversion
process. This is very important decision as this process is highly exothermic process.
This methanol reactor is basically to convert syngas into methanol by a
heterogeneous catalytic system
1.2 DESIGN METHODOLOGY
The design methodology for the methanol reactor (R-201) can be divided into 2
major sections; the process design and mechanical design. The process design give
impact to the determination of reactor volume (Levenspiel plot) and heat transfer.
The mechanical design of R-201 utilizes British Standard 5500 reference and design
values were referred to data provided in the Mechanical Design of Process
Equipment Data Hand Book.
Overall design was carried out accordingly, as per listed follows
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1. Select the major equipment Methanol Reactor, R-201
2. Justify the type of reactor that is suitable for the process.
3. Determine the optimum operating conditions.
4. Perform calculation based on rate of reaction to obtain the volume of the
reactor.
5. The value from calculation is used as input data in ICON simulation.
6. Size reactor accordingly.
7. Obtain the necessary parameters from reactor sizing calculation and proceed
with equipment mechanical design.
8. Costing is done on the reactor and the utilities needed.
9. Perform technical drawing of the designed reactor.
10. Perform start up and shut down procedures for the reactor.
From research and development done, it is proven that methanol conversion by using
low temperature reactor. This is due to the effect of having a catalyst operating at
high temperature will damage or shorten its lifespan, losses in form of catalyst
replacement will take place and low yield (due to hotspots) will be incurred. Thus,
having a lower temperature reactor will give a lower probability of runaway reaction
and catalyst deactivation.
The overall reactions involved in production of methanol are as follows:
CO+2H2 CH3OH Hrxn = -9.1104 kJmol-1
CO2+3H2 CH3OH+H2O Hrxn = -4.9104 kJmol-1
CO + H2O CO2 + H2 Hrxn = -4.2104 kJmol-1
The operating conditions of reactor are as follows:
Catalyst : Cu (60-70%) - ZnO (20-30%) Al2O3 (5-15%)
Temperature : 220oC-300oC
Pressure : 50-100Atm (5-10MPa)
Composition of the feed : 59 -74%H2 27- 15% CO 8% C02
Conversion : CO to methanol per pass is normally 16 40 %.
H2 : CO ratio : 2-4
The selectivity : Around 99.8 %
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1.3 FEEDSTOCK, REACTION AND RATE OF REACTION
Feedstock of this reaction is mainly syngas. Feed impurities are in gaseous form
which is difficult to be purified. Rule of thumb stated that it is desired to recover
more than 99% of valuable reactants. Syngas cost is expected to increase every year;
losses incurred for not recovering unconverted syngas of would be significant over
minimum plant life of 15 years.
Hence, there shall be a recycle stream to recycle unconverted syngas together with
other inert gaseous. Purging is needed in order to prevent accumulation in the
system. The ratio of recycle-purge composition is to be justified economically.
Figure 2.1 exhibits the economic potential versus purge fraction, from here; it can be
deduced that the optimum purge fraction which yield the highest economic potential
is at 0.4.
Figure 2.1 : Graph of Economic Potential Vs Purge Fraction
Reaction will take place in gaseous phase, under continuous mode. The market for
methanol is available all the time, methanol is not a seasonal product and due to its
wide applications it is used all year long by numerous industries. Besides that, the
reaction rate involve in synthesizing methanol is very fast having short residence and
the product itself does not have short product lifetime.
Graph Of Economic Potential Versus Purge Fraction
326000000
327000000
328000000
329000000
330000000
331000000
332000000
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Purge Fraction, Ypg
Eco
nom
ic P
ote
nti
al (
EP
3)
(US
D/Y
EA
R)
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1.4 REACTOR SELECTION
Following table is to screen between three types of reactor which are: Stirred Tank
Reactor, Fixed Bed Catalytic Reactor and Fluidized Bed Catalytic Reactor
Table 2.1: Reactor Type Screening
Stirred Tank
Reactor
Fixed Bed Catalytic Reactor Fluidized Bed Catalytic
Reactor
Not practical for
gas-solid reaction
Highly suitable for gas-
solid reaction
Approximate plug flow
Not suitable for highly
exothermic reaction;
counteracted by having
shell and tube arrangement
shell and tube arrangement
give good temperature
control, can be operated
isothermally and provide
mixing
Tend to have hotspot in
catalyst if reaction is
exothermic; counteract by
diluting the catalyst
Low operating cost
High conversion per unit
mass of catalyst
Easy to scale up
Suitable for gas-solid
reaction
Could NOT approximate
plug flow behavior
Suitable for highly
exothermic reactions
Fluidized bed is difficult to
scale up; posed limitation
for future expansion
Carryover of catalyst; cause
fouling in equipment
broad residence time
distribution
Erosion of bed internal and
attrition of catalyst particles
is possible
From the choices given, Fixed Bed Catalytic Reactor is chosen to be the type of
reactor used in this process. Fixed-bed reactors are used because the process is a
heterogeneous catalysis process where the catalyst and reacting species are of
different phases [Timmerhaus et al,2003].
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The advantages using fixed bed reactor compare fluidized has been summarized in
the table below.
Table 2.2: The advantages and disadvantages of FBR and MTFBR
Fluidized Bed Reactor Multi- Tubular Fix Bed Reactor
Advantages 1. Internal Cooling Coils For Heat
Removal- Effective Temperature
Control- Avoid Hot Spot
1. Efficient Contacting In The
Reactor Flow In PFR Manner
2. Internal Or External Cyclones To
Minimize Catalyst Carry Over
2. Gives Higher Conversion Per
Weight Of Catalyst
3. Usually Use For Liquid Phase-
Assure Intimate Contact Between
Feed & Product Vapors, Catalyst
And Heat Transfer Surface
3. Suitable Liquid And Gas Phase
4. No Catalyst Stickiness And
Highly Efficient Over Many Years
Of Operation
Disadvantages
1. Agglomeration Catalyst Carry
Over Downstream- Copper
Contaminated
1. Not Effective In Temperature
Control- Hot Spots - Overcome
This Problem By Putting The
Cooling Medium On The Shell Side
2. Reduce Heat Transfer Capability
In The Reactor And Reduce
Reaction Rates
2. Besides, Temperature Control By
Multiple Reactors In Series- But
Increase Cost
3. Inherent Back Mixing- Difficult
To Achieve Total Conversion Of
Limiting Feed (Hcl)
4. High Cost Of The Reactor And
Catalyst Regeneration Equipment
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Generally, fixed-bed reactors operate with axial flow of fluid down the bed of solid
particles. Radial flow is not commonly used. Hence, Methanol Reactor, R-201
operates with axial flow of gas.
Figure 2: Types of Fixed-bed catalytic reactor
The decision on reactor hest effects is done by estimating the reactor heat load and
adiabatic temperature change for both of the reactors. Correlation used is as below.
)( ,, outRinRpFPRR TTFCFHQ ==
Where
RQ = Heat load
RH = Heat of reaction
FPF = F = Flow into reactor
pC = Heat capacity
RT = Reactor streams temperature
The result from heat integration using ICON simulation indicates that adiabatically
operated reactor is feasible in this case. According to heuristic, less than 15%
increment in the reactor outlet temperature, adiabatic reactor is feasible. For direct
FBCR
Axial Flow Radial Flow
Non-adiabatic operation
(multi tubular)
Adiabatic operation
Catalyst
outside tubes
Catalyst
insides tubes
Single-stage Multistage
Inter stage heat
transfer
Cold-shot
cooling
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heating and cooling, heuristic states that the heat load should not be more than
hrBTU6108 .
Thus, since the heat effects do NOT exceed the limit. The reactor is to be operated
by direct heating and cooling. In addition, for reactions with significant heat of
reaction, adiabatic reactor is a better option.
1.5 THERMAL AND BED ARRANGEMENT
For axial flow of fluid, the division for thermal considerations is between adiabatic
and non adiabatic operation. In adiabatic operation, no attempt is made to adjust the
temperature within the bed by means of heat transfer. In production of methanol, the
operation is adiabatic. Heat transfer for control of temperature is accomplished
within the bed itself. Thus the reactors are multi tubular reactors and not multistage
reactors.
Table 2: Main characteristics of Fixed-bed multi tubular reactor
Characteristics Fixed Bed (Multi tubular)
Energy Transfer Mechanism Shell and tube heat exchanger
configuration with tubes packed with
catalyst
Design Variable(s) Tube surface area to volume ratio.
Conversion Plug flow behavior ensures high
conversion per unit mass of catalyst.
Operation Continuous operation
Maintenances Fixed-bed device will have to be taken
offline to regenerate the catalyst by
means of shutting down the plant or using
standby reactor. Not suitable for frequent
catalyst regeneration.
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Temperature Control Temperature control with liquid, gaseous
or boiling heat transfer agent in shell side
space.
Suitability for heterogeneous
catalytic gas phase reaction
Catalyst attrition negligible.
Catalyst Lifetime For catalyst that is deactivated slowly
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CHAPTER 2
PROCESS DESIGN
2.1 OPERATING CONDITIONS
The operating conditions of reactor R-201 are as follows:
Methanol Reactor Operating Conditions (R-201)
Operating Temperature : 250 C
Operating Pressure : 68.28 Bar
Based on the simulation on iCON, the following stream tables properties are obtain.
There are two main streams considered here which are the inlet stream of R-201 and
the outlet stream of R-201. The conditions of the streams are as follows:
Feed Stream into R-201:
Operating Temperature : 250 C
Operating Pressure : 70 Bar
Outlet Stream from R-201
Operating Temperature : 250 C
Operating Pressure : 68.28 Bar
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The following table shows the Feed Stream Composition:
Table 2.1: Feed Stream Composition
No. Component Flowrate
(kmol/hr)
1 Methane 27.60
2 Ethane 0.00
3 Oxygen 0.00
4 Carbon monoxide 13221.39
5 Hydrogen 53776.42
6 Carbon dioxide 6725.35
7 Water 8526.30
8 Methanol 41.61
9 Propane 0.00
10 Acetic acid 0.00
11 Nitrogen 107.60
12 Hydrogen sulfide 0.00
13 Methyl acetate 0.00
14 Argon 12.08
TOTAL 82438.36
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The following table shows the Outlet Stream Composition:
Table 2.2: Outlet Stream Composition
NO. Component Flowrate
(kmol/hr)
1 Methane 27.60
2 Ethane 0.00
3 Oxygen 0.00
4 Carbon monoxide 13221.39
5 Hydrogen 53776.42
6 Carbon dioxide 6725.35
7 Water 8526.30
8 Methanol 41.61
9 Propane 0.00
10 Acetic acid 0.00
11 Nitrogen 107.60
12 Hydrogen sulfide 0.00
13 Methyl acetate 0.00
14 Argon 12.08
TOTAL 82438.36
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2.2 REACTOR VOLUME DETERMINATION
CO+2H2 CH3OH
Or, symbolically,
CO+2H2 CH3OH
The forward and reverse specific reaction rate constant , kA and k-A, respectively, will
be defined with respect to carbon monoxide. Carbon monoxide (A) is being depleted
by forward reaction
CO+2H2 CH3OH
In which the rate of disappearance of carbon monoxide is
CCkr bAAforwardA2
,=
For reverse reaction
CO+2H2 CH3OH
The rate of formation of carbon monoxide is given as
Ckr cAreverseA2
, =
The net rate of formation of methanol is the sum of the rates of formation from the
forward and reverse reaction
rrr reverseAforwardAA ,, +=
CkCCkr cAbAAA22
+=
kA
k-A
k-A
k-A
k-A
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Multiplying both sides of the rate law equation by -1, we obtain rate law for the rate
of disappearance of nitrogen, -rA:
=+=
Ckk
CCkCkCCkr cA
A
bAAcAbAAA
2222
=
KC
CCkrC
c
bAAA
2
2
Where Kkk
C
A
A =
The Stoichiometric table for the gas phase-reaction is given in table below
Table 2.3: Stoichiometric table for methanol process
Species Symbol Concentration
CO A
=
PTX
X PTCC
OO
AOA 11
H2 B
=PTX
Xa
b
PTCC
OOB
AOB
1
CH3OH C
=
PTX
Xa
c
PTCC
OOC
AOC
1
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= = = = 53776.4213221.39 = 4.067 = 12705.1213221.35 = 0.961
= = + 1 = 11 21 1 = 2 = 0.16038 2 = 0.32076
= !"# = 0.16038 68$% &0.082 $%%'%()* + 523* = 0.2543%()%'
Neglecting pressure drop in the reaction, P = PO and the reaction is isothermal T =
TO, we obtain as follows
=
X
XCC AOA 1
1
=X
Xa
b
B
AOB CC
1
=X
Xa
c
C
AOC CC
1
Therefore,
= 1 ,1 0.32076, = & 4.067 2,1 0.32076,+ = & 0.961 + ,1 0.32076,+
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Since Ammonia reaction is an equilibrium reaction, therefore the equilibrium
constant can be dictated as follows:
* = ---. = /0.961 + ,1 0.32076,01 1 ,1 0.32076, 2 1 / 4.067 2,1 0.32076,02.
From literature review and previous calculation
* = 14.5& = 0.2543 %()%' Thus,
14.5 = 1/ 0.961 + ,-1 0.32076,-020.06467 1 1 ,-1 0.32076,- 2 1/ 4.067 2,-1 0.32076,-02.
0.9377 = 1/ 0.961 + ,-1 0.32076,-021 1 ,-1 0.32076,- 2 1/ 4.067 2,-1 0.32076,-02. The equilibrium conversion, is computed using scientific calculator fx-570ES,
,- = 0.9515 According to Fogler (2006), the design equation for a fixed-bed reactor is analogous
to those for a plug-flow reactor. Thus, to obtain the volume of the reactor for a
specified conversion, the following equation will be used for the volume
determination
4 = 5 6789 4 = 5 6: /. *0
89
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The rate constant, is obtained from the Arrhenius Equation (D.C. Dyson et al.,1968)
: = 0.1080 4 = 5 6:; 1 ,1 0.32076, 10.2543 / 4.067 2,1 0.32076,02. / 0.961 + ,1 0.32076,014.5 ?.89
4 = :5 14.5 1 0.32076, '614.50.2543 1 , 4.067 2, . 0.961 + , 1 0.32076, ..89 @ = ABC. DEF (Reactant Fluid Volume)
(Compute using scientific calculator fx-570ES)
Thus, the space time for R-201 can be calculated as follows:
G = 4H = 275.8%'34075.12%' 7J = 8.093 10K'7 = 29.14L R-6 has a contact time of 29.14 s. The space velocity is then the reciprocal of space
time = 123.557KM LNOHO)(P$ = 1G = H4 = 123.557KM = 0.03432LKM
For a plug flow reactor, the calculated V is only the volume of reactant fluid (not
including catalyst surface). The void fraction in a packed bed is defined as the
volume of voids in the bed divided by the total volume of the bed (Geankoplis,
1993). Assume the void fraction of the catalyst bed as 50% of the total volume of
reactor, = 0.5. Therefore, actual reactor volume:
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4Q-RSTUQ =4 = 275.80.5 = 413.7%'
2.3 CATALYST
The volume of catalyst in the transalkylation reactor is assumed to be half of the
whole reactor volume of 413.7%'. For reactor R-201, the catalyst mainly composed of CuO, ZnO and Al2O3 is used. From the literature, the catalyst has a shape of
cylinder and diameter of 2.2 mm with density of 1300-1500 kg/m3. Thus
VLL(W$)L$ = 1300:X%' 275.8%' = 358540:X
2.4 TUBE SELECTION
Suitable material for tubes in the reactor must be chosen. Stainless steel type 304
material (18Cr/8Ni) is selected because of its good corrosion resistance and
mechanical properties, and is usually used for heat exchanger tubing. This multi tube
reactor can be designed with close approximation to a shell and tube heat exchanger.
In a multi tube reactor with catalyst inside the tubes, the reactor volume must equal
the inside volume of the tubes. By selecting a tube diameter and length, the volume
per tube is calculated.
2.5 NUMBER OF TUBES REQUIRED
Through literature review, a few tube dimensions have been recommended.
Ullmanns (1975) recommended tubes of 3 to 5 m long, 2.5 cm in diameter. Rohm
Haas (2003) suggested tubes of the same length as Ullmanns but 1.9 to 3.0 cm in
diameter. Each reactor would have approximately 15,000 to 35,000 tubes. McKetta
(1975) recommended 0.75 to 2 in diameter tubes of 10 to 20 feet length. Each reactor
will house 5000 to 10,000 tubes.
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Preliminarily, tubes of 2 in. stainless steel 304 pipe, with 20 ft (6.096 m) length are
selected. This is a large size for heat exchanger tubing but a large size is desirable for
good catalyst distribution and minimal wall effects. The properties of the pipe are
stated as below (Values obtained from Timmerhaus (2003) Table D-13):
Outside diameter : 0.0605 m
Inside diameter : 0.0525 m
Wall thinkness : 0.00792 m
Cross sectional area : 0.00423 m2
Therefore,
Y = 4Z;S[ = 413.7%'0.00216m. 6.096m = 15674.8$]OL Thus, 15 675 tubes are required.
2.6 PRESSURE DROP ON TUBE
The reactor is to be operated at 68.28 bar or 6828kPa of pressure. An initial of 1.72
bar or 1720 kPa pressured drop is assumed. From Fogler (2001)
!!9 = 1 2^[!9 9._ ^9 = `1 XSab' c1501 db + 1.75`e
Where G = superficial mass velocity
= porosity = volume of void/total bed volume = 0.8 gc = 1.0 for metric system
Dp = diameter of particle in bed = 2mm d = viscosity of gas passing through the bed = 0.00002044Pa.s a = gas density = 27.398 kg/m3
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From iCON, mass velocity = 933595.35 kg/hr = 259.33 kg/s
` = VLLHO)(P$#($)7O(W$]OL = 259.33kg/s0.00423m. 15675 = 3.911 :Xm.. L ^9 = `1 XSab' c1501 db + 1.75`e
^9 = 3.9111 0.8 1.0 27.398 0.002 0.8' c1501 0.8 0.000020440.002 + 1.753.911 e ^9 = 199.37!% = 0.199 :!%
!!9 = 1 2^[!9 9._ !!9 = 1 20.199 6.096 6828 9._ = 0.9998
! = 6826:! Thus, pressure drop = 6828-6826 = 2 kPa < the initial assumption
2.7 TUBE LENGTH SUITABILITY CHECKING
Average volumetric flow rate per tube:
4Rj-QRk- = HY =34075.12%' 7J15675$]OL = 2.173%' 7J
Superficial velocity through tube
lm = 4Rj-QRk-;S =2.173%' 7J0.00423m. = 513.9%' 7J
Calculated space time, G = 8.093 10K'7 = 29.14L
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Therefore, for the period of space time specified, the distance passed by the liquid is
[ = lmG = 513.9%' 7J 8.093 10K'7 = 4.159%< 6.096% Therefore the selected length is long enough for the gas to react before leaving the
reactor.
2.8 TUBE THICKNESS SUITABILITY CHECKING
The minimum pipe thickness (given in British Standard, BS 5500) :
$ = !obo2W !o where
Di = internal diameter
f = design stress
t = minimum thickness required
Pi = internal pressure, 200 kPa
The value of design stress of stainless steel 304 at 250 oC is given in Table 13.2,
Chemical Engineering, Vol. 6. By interpolation:
W._9 = 95Y/%%. !o = 10.97 = 1090:! 1.05 = 911.45:!
The above pressure is calculated after considering 5% safety factor for internal
pressure. Therefore,
$P:qOLLros = 911.45:! 0.0525%2 95000:! 911.45:! = 0.00025% $P:qOLLros = 0.00025% < 0.00792m
Since the thickness of the tube selected is greater than the minimum required
thickness, it is capable to withstand the operating pressure of the reactor.
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2.9 TUBE ARRANGEMENT
Since the reactor operates at high temperature, thus higher heat transfer rate is
required. The tubes arrangement need to be adjusted so that the heat transfer rate
between the shell side and tube side is efficient considering the distance between the
tubes. Therefore equivalent triangular pattern is selected. The recommended tube
pitch (distance between tube centre) is 1.25 time the outside diameter of the tube.
= 0.0605% !T = 1.250.0605% = 0.075625%
2.10 TUBE-SHEET LAYOUT
Estimation of Bundle diameter:
YT = *M &bt+su (7bt = &YT*M+Msu
where Nt = number of tubes
Db = bundle diameter, m
do = tube outside diameter, m
The value of K1 and n1 is available in Table 12.4, Chemical Engineering, Volume 6,
by R.K. Sinnot.
The triangular pattern is chosen because of the higher heat-transfer rate, but at the
expense of higher pressure drop. For triangular pattern and one pass flow:
K1 = 0.319
n1 = 2.142
Therefore:
bt = 0.0605 &156750.319 +M..Mv. = w. FBCE
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2.11 SHELL INSIDE DIAMETER, DS
Practically, the shell diameter must be selected to give as close a fit to the tube
bundle and also to reduce bypassing round the outside of the bundle. Typical values
of clearance required between the outermost tubes in the bundle and the shell inside
diameter can be obtained from Figure 12.10 (Sinnot, 2000). Extrapolation on the
fixed and U-tube line is performed.
xO))PqLPOP%O$O7 ]q)OP%O$O7 = 10y]q)OP%O$O7 + 10 = )O7qO
= 109.375% + 10 = 103.75%
xO))PqLPOP%O$O7 = 0.10375% + y]q)OP%O$O7 = 0.10375% + 9.375% = w. zBDBCE
2.12 BAFFLE DIAMETER
Baffle type: single segmental baffle
From Table 12.5, Chemical Engineering, Vol. 6, the recommended baffle diameter
is:
Dbf = Ds - 4.8 mm
= (9.47875 - 0.0048) m
= 9.47395 m
The optimum baffle spacing is usually between 0.3 to 0.5 times the shell diameter.
Value of 0.3 is chosen.
lbf = 0.3 (9.47395) = 2.842185 m
Number of baffle required = Total tube length/baffle spacing
-
28
= 6.069 / 2.842185
= 2.14 3 baffles
3 baffles were chosen to ensure fluid stream across the tubes.
Baffle spacing = Tube length/(No. baffles+1) = 6.096/4 = 1.524 m
2.13 HEAT REMOVAL SYSTEM OF REACTOR
Since the reaction is exothermic, heat must be removed so that the temperature will
not increase too high which will affect the reaction. Heat is removed from the reactor
by generating steam on the shell sides of the tubes. Water flows to the reactor from a
steam drum, to which make-up water (BFW) is supplied.
The steam leaves the drum as saturated vapour. Cooling water with high pressure is
chosen well to ensure good heat transfer. Water is usually the first fluid consider,
since it is cheap, easy available, nonflammable, and compatible with many effluent
vapor. Its counter-currently circulated with respect to the gas inside the tube due to
nature of liquid and gas flow.
2.14 AMOUNT OF COOLANT NEEDED
It has been decided that the pressure for the closed loop recirculated cooling water
will be supplied at 400 kPa so as to ensure that there is not much difference of
pressure between the tube side and the shell side. At 400 kPa, the boiling point of
water is 144 C. The properties of water at 144 C, 400 kPa are as shown as below.
Table 2.4: R-201 Coolant Information
Coolant Type Closed loop recirculated cooling water at 400 kPa
Density at Tav= 144oC 922.20 kg/m3
Heat Capacity at Tav= 144oC 4.255 kJ/kg.C
Viscosity at Tav= 144oC 0.000190 kg/m.s
-
29
From iCON simulation results, 1.6859 x106 kJ/hr of heat has to be removed. The
water in the tube side will be supplied at 110C at the inlet and will exit at the
temperature of 135 C which is before the point of boiling of water (400 kPa). The
amount of water needed for the heat transfer was calculated as below.
q = mCpT
Flow rate of coolant required:
m = TC
q
p
= )110135(255.4
/106859.1 6
hrkjx
= 15, 848.65 kg/hr = 4.40 kg/s
2.15 HEAT TRANSFER AREA CHECKING
The general equation for heat transfer across a surface is
Q = UATm (12)
Where Q = heat transferred per unit time
U = the overall heat transfer coefficient, W/m2C
A = heat transfer area in unit m2
Tm = the mean temperature difference, the temperature driving force in C
The objective here is to determine the surface area required for the specified heat
transfer duty. This is done through the calculation of mean temperature difference
Tm. Tm can be calculated by calculating logarithmic mean temperature
difference which can only be applied when there is no change in the specific heats,
the overall heat-transfer coefficient is constant and there are no heat losses. For co-
-
30
current flows, single pass tube, following figure shows the temperature profiles
whilst the formula prior to calculate the logarithmic mean temperature difference is
stated as follow
Tm = Tlm
( ) ( )( )( )22
11
2211
lntT
tT
tTtTTlm
=
Where Tlm =log mean temperature difference
T1, T2 = inlet and outlet temperature of shell side fluid
= water (400 kPa) temperature,
inlet = 110C, outlet = 135C
t1, t2 = inlet and outlet temperature of tube side fluid
= process fluid temperature,
inlet = 145C, outlet = 155C
Figure 2.1: Temperature profiles for co-current flow
T1 = 145
T1=110
T2 = 155
T2 = 135 Shell
tube
-
31
Tlm = ( )[ ]
)135155(
)110145(ln
)135155(110145
= 5.54 C
Assuming overall heat transfer coefficient, U = 50 W/m2.C
Therefore, the required heat transfers area:
A = lmTU
Q
= )/3600)(54.5(50
/106859.1 9
shrC
hrJ
= 1690.63 m2
As for heat transfer area checking purpose,
The number of tube in reactor = 15 675 tubes
Length of tube = 6.096 m
Heat transfer area per tube = d0L
= (3.142) x (0.0605 m) x (6.096 m)
= 1.1586 m2
Therefore,
Total surface area of tubes = 1.1586 m2 x 15 675 tubes
= 18161.7 m2 (> 1690.63 m2)
Hence, heat transfer area given by total number of tubes of the designed reactor is
sufficient to extract the heat required for the exothermic reaction to occur.
-
32
2.16 PRESSURE DROP ON SHELL SIDE
The flow pattern in the shell of a segmentally baffled multitubular reactor is complex
and this makes the prediction of the shell side heat transfer coefficient and pressure
drop much more difficult if compared to the tube side. Although the baffles are
installed to direct the flow across the tubes, the actual flow of the main stream of
fluid will be a mixture of cross flow between the baffles, coupled with axial (parallel)
flow in the baffle windows. There are 2 main methods in determining the pressure
drop at the shell side namely; Kerns and Bells method. As for this reactor design,
Kerns method has been applied.
Basically, Kerns method does not take into account of the bypass and leakage
streams, however it is simple to apply and can be consider accurate enough for the
preliminary design calculations. On the other hands, in Bells method the heat
transfer coefficient and pressure drop are estimated from the correlations for flow
over ideal tube-banks, and the effect of leakage, bypassing and flow in the window
zone are taken into consideration by applying the correction factors for each terms
respectively. [10] From Sinnott (1999), the shell side pressure drop is given by
14.02
28
=
w
s
e
s
B
fs
u
d
D
l
LjP
(16)
Where L = tube length = 6.096m
lB = baffle spacing = 2.842185 m
Ds = shell diameter = 9.47875 m
= water density = 922.20 kg/m3 at 144 C
= viscosity of water = 0.000190 kg/m.s
= 0.19 cP = 1.9 x 10-4 Pa.s at 144C
us = molten salt linear velocity, m/s
jf = friction factor, (can be determined after obtaining Reynolds number,
Re = u s de/)
pt = Tube pitch = 0.075625% m (obtained from previous calculation)
-
33
de = equivalent diameter ( equilateral triangular pitch arrangement)
= ( )22 917.010.1 oto
dpd
= ( )22 0605.0917.0075625.00605.0
10.1
= 0.043 m
us = water linear velocity = Gs/ and Gs = s
s
A
W
where Ws = fluid flowrate on the shell side in unit kg/s
From 2.14
The desired water flowrate, Ws = 4.40 kg/s
Cross-flow area, As = t
Bsot
p
lDdp )(
= 075625.0
842185.247875.9)0605.0075625.0(
= 5.388 m2
Thus Gs = 2388.5
/40.4
m
skg
= 0.8166 kg/s.m2
Water velocity, us = 0.8166 / 922.20 (density)
= 0.0009 m/s
-
34
Using this value, Reynolds number, Re is calculated:
Re = 00019.0
043.00009.020.922 = 1878.4
The Reynolds number falls in the region of laminar flow (Re 2100). Thus, Hagen
Poiseuille equation can be used. By referring to Equation 12-4 (Timmerhaus, 2003),
jf
To find the shell side pressure drop, viscosity correction term is neglected. Thus,
2
0009.020.922
0605.0
47875.9
842185.2
096.6)00851.0(8
28
2
2
=
= s
e
s
B
fs
u
d
D
l
LjP
= 0.01 Pa
= 0.00001 kPa
008517.0
Re
116
16
0
=
=
=
x
Vd
-
35
CHAPTER 3
MECHANICAL DESIGN
3.1 REACTOR DESIGN PRESSURE
In mechanical designs, the basic method or concept is to make the particular piece or
part of the equipment safe irrespective of the forces acting on it. Some examples of
the forces acting on a member are the forces due to the internal or external pressure
acting on the system, the gravitational force due to the weight of the vessel and
piping, force due to the wind acting on the vessel especially for the tall column and
finally the seismic forces cause by earth quakes.
For the mechanical design of the process equipment, the pressure is the most
important of all the forces acting on the equipment. The design pressure, Pd is the
maximum (worst case) pressure which the equipment has to withstand. Pd can be
calculated by modifying process design (i.e pressure acting on the system), Po
considering the noise in the control system and the effect of any safety relief valve
which may be present to arrive at the maximum working pressure, MWP.
In this reactor design, operating pressure of R-201 is Po = 68.28 Bar
Thus design pressure,
!{ = 68.287 1.10 = BC. |}D~ = BC|}. D The above pressure is calculated after considering 10% safety factor for internal
pressure.
-
36
3.2 REACTOR DESIGN TEMPERATURE
Determination of appropriate design temperature is vital prior to find the value of
allowable stress for the material of construction which is temperature dependent.
Design temperature is determined from the process design temperature. The
following heuristics are generally applied to determine design temperature:
i. For unheated part consider the highest temperature of the stored material.
ii. For part that is heated by means of steam, hot water, oil etc consider the highest
temperature of the heating media, or 10C higher than the maximum temperature that
any part of body is likely to attain during course of operation.
iii. For vessel where direct internal or external heating is employed by means of fire,
flue gas or electricity or for severe exothermic reactions that takes place
a) Consider the highest temperature of the inside material plus minimum of 20C if
vessel is shielded.
b) Consider the highest temperature of the inside material plus minimum of 50C if
vessel is not shielded.
c) For highly exothermic reactions, same condition as above applies.
For this reactor design, operating temperature of R-201 is To = 250 C, which is the
temperature at the outlet of the tube.
Thus design temperature,
#{ = 250 1.10 = ABC = CzD The above temperature is calculated after considering 10% safety factor for internal
pressure.
-
37
3.3 REACTOR CYLINDRICAL VESSEL THICKNESS
On the shell side, cooling water at an average temperature of 160C will be
circulating. As cooling water is not corrosive, carbon steel (Grade 2B IS : 2002-
1962) is chosen as material of fabrication for reactor shell as it is also can sustain
wide temperature condition from -40oC to 500oC.
The minimum shell thickness:
$ = !obo2W !o + Where
Di = internal diameter
f = design stress
t = minimum thickness required
Pi = internal pressure
J = Welding efficiency = 0.9 (Class 1)
c = corrosion allowance
-
38
Design stress of carbon steel (Grade 2B IS: 2002-1962)
W T-r._9 = 1.18 10 Y%%. Inside diameter of shell, DS = Di = 9.47875% Therefore:
$ = 7510.8 10'9.47875 21.18 10 0.9 7510.8 10' + $ = 0.3475% + = 347.5%% +
2mm corrosion allowance will be used. Therefore
$ = 347.5%% + 2%% = 349.5%% The above equation is only valid if and only if it satisfy the equation below,
bbo 1.5q $bo 0.25 b = bo + 2 $ = 10.17% bbo = 10.179.48 = 1.07 1.5
$bo = 0.34759.48 = 0.0366 0.25
3.4 BAFFLE CUT
Optimum baffle cut of 25% of baffle diameter is used. Therefore:
Baffle cut = 0.25 Dbf
= 0.25(9.47395 m)
= 2.368 m
-
39
3.5 REACTOR CLOSURES (HEAD AND CLOSURE)
A torispherical flanged standard dished head is chosen for this design. The advantages of
using this head are that it can be used for application of higher pressure and it has less
stress concentration as compared to flat plate. The minimum thickness required is:
$ = !"2W ! 0.2 = 14 3 + ""
Where J = joint factor = 0.9
f = design stress = 100 N/mm2
Rc = crown radius = should be greater than D0
Rk = knuckle radius = 0.06Rc
Rk/Rc should not be less than 0.06
b = bo + 2 $ = 10.17% < " = 14>3 + "0.06"? = 1.77
Therefore,
$ = 7510.8 10' 10.17 1.7721.0 10 0.9 7510.8 10'1.77 0.2 = 0.803% = 803%% Adding allowance, t = 803 mm + corrosion allowance + thinning of torus during
fabrication
$ = 803%% + 4%% + 0.06 7.28%% = 807%%
-
40
Volume of dish, V = 0.0847 Di3
= 0.0847 x 9.483
= 72.16 m3
Figure 3.1 : Torispherical flanged standard dished head
3.6 HEIGHT OF REACTOR
Height of the closure is also assumed, ho + Sf = 0.5 m. Thus,
the total height of the reactor = height of closures + tube length
= 2(0.5) + 6.096
= 7.096 m
807 mm
-
41
3.7 DESIGN OF BOLTED FLANGE JOINTS
Gasket and bolts are designed for both top and bottom closure flanges. Flanges are also
designed accordingly. Welding neck flanges are used here because it is suitable for
extreme service conditions such as high temperature. It has long tapered hub between
flange ring and weld joint. This helps reduce discontinuity stress between flange and
joint. It is commonly used for removable vessel heads for ease of access.
3.8 GASKET DESIGN
The function of gasket is to make a leak-tight joint between two surfaces. Gaskets are
produces from materials, which will deform and flow under load to fill the surface
irregularities between the flange faces, yet, at the same time retain sufficient elasticity to
take up the changes in the flange alignment that occur under load.
Selection of material of a gasket heavily depends on the process conditions, corrosive
nature of process fluid, the gasket location and type of gasket construction. For reactor
temperatures between 250 to 450C, metal reinforced gasket is recommended. Gasket
specification is obtained from Table 13 of Data Hand Book of Mechanical Design of
Process Equipment (ECB 5233).
Gasket material = Corrugated metal (Stainless steel, asbestos)
Gasket factor, m = 3.75
Min design seating stress, y = 52.5 MN/m2
Min actual gasket width = 10 mm
Design pressure, PD = 73.474 bar
Shell outside diameter, B = 10.17 m
Shell thickness, go = 0.3495 m
Meanwhile, full faced flange is used to hold the gasket in place. Following figure shows
that the face contact area extends beyond the bolt circle. It has a large bearing area, tight
-
42
enough to prevent leaks and suitable for low pressure operations. High bolt tension is
required to achieve sufficient gasket pressure to maintain a good seal at high pressures.
Figure 3.2: Full Face Flange
Selection of material depends on the corrosive action of chemicals that may contact the
gasket, the gasket location and type of gasket construction. It also depends on gasket
width. If the gasket is made too narrow, the unit stress on it will be excessive. If the
gasket is too wide, the bolt load will unnecessarily increased.
Determine the blank diameter, DB, and height of dish, ho for the toripherical closure.
fK
o
oB SRD
DD 23
2
42+++=
+
+
= fKo
Co
CCo SRD
RD
RRh 222
Calculate ratio of inner diameter to outer diameter of the gasket, do/di.
( )1+
=mPy
mPy
d
d
D
D
i
o
Where do = gasket outer diameter
di = gasket inner diameter
y = minimum design seating stress
-
43
PD= Design Pressure
m = gasket factor
o = 52.5 10 7510.8 10' 3.75 52.5 10 7510.8 10' 3.75 + 1 = 1.0001
Rule of thumb states that inner gasket diameter is 10mm larger than vessel outer
diameter.
Thus, gasket inner diameter, di = Do, reactor + 10mm
= 9.48 m + 0.01 m =9.49 m
Determine the inner and outer diameter of the gasket. = 9.49 1.0001 = 9.491%
Calculate the gasket width, W, where result will be round off to the nearest even number
for convenience purposes.
Figure 3.3: Gasket Width
2
io ddW
=
= 9.491 9.492 = 0.00005%
W W
do
di
-
44
3.9 BOLT SIZING
To estimate bolt loads
Figure 3.4: Bolt Sizing
Under internal pressure, G = di + N
= 9.491 m + 0.00005 m = 9.4915 m
Allowable stress of bolting material
So = 144 MN/m2 (Table 11)
Sg = 212 MN/m2
Wo = force due to pressure + load to achieve minimum sealing
= H + Hp
DPGH2
4
=
Where G = Diameter of gasket load Reaction
PD = Design Pressure = 4 9.4915. 7510.8 10' = 531VY
Assume raised-faced flanges are used,
Basic gasket seating width, bo = N/2
= 0.5 mm /2
= 0.25 mm > 6.3 mm
G
-
45
Thus, effective gasket seating width, b = bo = 0.25 mm
Load to keep gasket in compression,
Hp = G 2bmP
= 2(9.4915)(0.00025)(3.75)(7510.8x103)
= 0.4199 MN
Therefore, Wo = 531 MN +0.4199 MN
= 531.4 MN
Under bolting condition,
Wg = Gby
= (9.4915)( 0.00025)(52.5)
= 0.391 MN
Since Wo > Wg
Therefore, controlling load = Wo = 531.45 MN
Minimum bolt area, A = Wo/allowable stress
= 531.4 MN/83x106
= 6.402 m2
To estimate optimum bolt size, bolt of various sizes chosen from Table 10 (Mechanical
Design of Process Equipment Data Hand Book).
-
46
Table 3.1: Bolt Sizing
Bolt
diameter
(Table
10)
Ar,Root
Area (m2) R(mm)
Bolt
spacing,
Bs(mm)
No of bolts,
Am/Ar
No of bolts,
(factor of
4)
C =
nBs/
C =
B
+2(g1+R)
M14 x 1.5 0.000153958 22 75 447.5246496 448 10.700637 3.9492
M16 x 1.5 0.000201088 25 75 342.6360598 344 8.211330 3.9552
M18 x 2 0.000254502 27 75 270.724788 272 6.492680 3.9592
M20 x 2 0.0003142 30 75 219.2870783 220 5.251432 3.9652
M22 x 2 0.000380182 33 75 181.2289903 184 4.392107 3.9712
M24 x 2 0.000452448 35 75 152.2826933 152 3.635010 3.9752
M27 x 2 0.00057263 38 75 120.322128 120 2.872107 3.9812
M30 x 2 0.00070695 44 75 97.46092369 100 2.387015 3.9932
Inner shell diameter, Di = 9.491 m
Bolt circle diameter, C = nBs/ or = Di +2(g1+R)
Shell Thickness go = 0.807m
Hub thickness, g1 = 1.415 go (thickness of shell)
= 1.142 m
Chosen bolt diameter = M14 x 1.5 (suitability)
Number of bolts, n = 448
-
47
Bolt spacing, Bs = 75 mm
Bolt circle diameter, C = 3.9492 m
Actual bolt area, Ab = n*Ar =448*0.000153958= 0.069 m2 Am
Flange outside diameter, A = C + bolt diameter + 0.02 (minimum)
= 3.9492 + 0.014 +0.807
= 4.7702 m
In order to check the suitability of the gasket width,
Gasket width = 66.36< 105 (valid)
Thus, gasket selected is acceptable for design application.
Recalculating the actual bolt spacing, Bs = C/n
= (3.9492) (1000)/100 = 389.77 mm
Figure 3.5: Bolt Spacing
75 mm
389.77 mm
3.9752 m
yGN
SA gb2 Mo. Thus Mg is used for further calculation.
Flange thickness,
Initially, assume bolt pitch correction factor, CF = 1.00
y = correction coefficient = 18.55
St = Allowable stress of flange material = 100 MN/m2
From the calculations, t =)100)(8486.3(
)55.18)(1)(6480.0(
= 0.1767 m
= 176.6mm
g
bm
g xSAA
W2
+=
t
F
BS
yCMt
.=
-
50
Recalculated Cf = td
Bsactual
+2
= 1767.0)024.0(2
1249.0
+
= 0.5559
fC = 0.7456
Thus, actual flange thickness, t = 0.1767 m (0.7456)
= 0.13175m
= 131.75 mm
From Table 8, the nearest standard steel sheet has a thickness of 180 mm.
Thus, flange thickness, t = 180 mm
-
51
3.11 REACTOR WEIGHT
Pressure vessels are subjected to other loads besides pressure. The main sources of loads
to consider are: [10]
i. Pressure
ii. Dead weight of vessel and contents
iii. Wind
iv. Earthquake (seismic)
v. External loads imposed by piping and attached equipment.
Figure 3.6: Position of Gasket on Flange
t = 0.13175m
R = 0.035 m
g1=0.0283 m
g0=0.02mm
A = 4.092 m
C = 3.9752m
di = 3.8686 m
do = 3.9038 m
Di = 3.8086 m
-
52
Here the major sources of dead weight loads are: [10]
vi. The vessel shell
vii. The vessel fittings such as manway, nozzles etc
viii. Internal fittings- plates (plus the fluid on the plates), heating and
cooling coils
ix. External fittings ladders, platforms, piping
x. Auxiliary equipment which is not self-supported; condensers,
agitators.
xi. Insulation materials
3.12 WEIGHT OF SHELL
For cylindrical vessel with domed ends and uniform wall thickness, the total weights of
the shell is
Wv = 240CvDm (Hv + 0.8Dm) t (21)
Where Cv = factor, 1.15 for vessel with several manways, internal support, etc.
Dm = mean diameter of vessel = (Di + tx10-3) in unit m
Hv = height or length between tangent lines, m
t = wall thickness, mm
From the calculations,
t = 807 mm
Dm = 9.375 + (0.807) m = 10.182 m
Hv = Closure Height + length of tube = 7.096 m
-
53
Weight of vessel,
Wv = 240 (1.15) (10.182) [7.096 + 0.8(10.182)] x (807)
= 34565.77 kN
3.13 TOTAL WEIGHT OF BAFFLES PLATE
Number of plates = 3
Plate diameter = Db = 9.47875 m
Baffle cut = 25%
b = angle subtended by the baffle chord, rads = 2.1 rads
Baffle area =( )
2tan%25
22
12
2
2
4
22
bb
bbb DD
xx
xD
+
= 56.77 m2
Weight of plate = 1.2 kN/m2 (Table 34, Mechanical Design Handbook)
Total weight of baffle = 56.77 x 1.2 kN/m2 x 3
= 204.4 kN
3.14 WEIGHT OF TUBES
Number of tubes = 15675
Weight per feet of tube= 5.8 lb/ft= 81.4 N/m
(Refer: Table D-13, Timmerhaus (2003))
Length of tube = 6.096 m
Total weight of tubes = 15675 (6.096) (81.4)
= 7778.16 kN
-
54
3.15 WEIGHT OF FLUID IN REACTOR
Total weight of fluid in reactor comprises of the weight of fluid, catalyst and coolant. On
the tube side, the volume of fluid and catalyst are calculated.
Volume of fluid = 275.8 m3
Density of fluid = 27.3982 kg/m3
Weight of fluid = 275.8 x 27.3982 x 9.81
= 74128.5N = 74.1285 kN
Volume of catalyst = 275.8 m3
Density of catalyst = 1300 kg/m3
Weight of catalyst = 275.8 x 1300 x 9.81
= 3517277 N = 3517.277kN
Maximum Volume of Cooling water = volume of shell - volume occupied by tubes
= /4 (9.47875)2 (7.1) 15675[/4 (0.0605)2 (6.096)]
= 226.31m3
cooling water = 922.2 kg/m3
Weight of cooling water = 226.31 (922.2) (9.81)
= 2047.4 kN
Total weight of fluid = 74.1285 kN + 3517.277 kN + 2047.4 kN
= 5638.8 kN
-
55
3.16 WEIGHT OF INSULATION MATERIAL
Insulating material = mineral wool
Density = 130 kg/m3
Thickness = 100 mm
Approximate volume of insulation = (Do) (tinsulation) (L)
= (9.375) (0.100)(7.1)
= 20.91 m3
Weight of insulation = 20.91 x 130 x 9.81
= 26.668 kN
Total Weight of Reactor = 21474.1285 + 3517.277 + 2047.4 +26.668
= 5665.5 kN
3.17 WIND LOADING
Wind pressure Pw = kUw2
= 0.05 x 1602
= 1280 N/m2
Loading per unit length, Fw = PwDeff
Deff = Do + 2tinsulation + 0.4
= 9.375 + 2(0.1) + 0.4
= 9.975 m
-
56
Fw = 1280 x 9.975
= 12.768 kN/m
Bending moment at the bottom, M = Fw X2/2
= 12.768 x 7.12/2
= 321.81 kNm
3.18 PRESSURE STRESSES
The longitudinal and circumferential stresses due to pressure given by:
t
PDiL
4= =
8074
103753.9/882232.0 32
mmmmN= 2.5623 N/mm2
t
PDih
2= =
8072
103753.9/882232.0 32
mmN= 5.1247 N/mm2
3.19 DEAD WEIGHT STRESS
w = ttD
W
i
v
)( +=
807)807103753.9(
1000 1401.39713 +
x= 0.0543 N/mm2
3.20 BENDING STRESS
The longitudinal bending stress at the mid-span of the vessel is given by:
( )4464
2
DiDoI
tD
I
M
v
i
v
b
=
+=
-
57
Where,
M = Longitudinal bending stress at the mid-span
Iv = Second moment of area of the shell
)6.38086.3848(64
44 =
vI
= 4.4078x 1011 mm4
+= 202
6.3808
104078.4
10 .43521411
8
mmx
Nmmxb
= 0.6266N/mm2
Resultant longitudinal stress, z = L + w b
w is compressive, thus the value will be a negative value.
z (upwind)= (42.0001 - 5.8256 + 0.6266) N/mm2 = 36.8011 N/mm2
z (downwind)= (42.0001 - 5.8256 - 0.6266) N/mm2 = 35.5479 N/mm2
As assume that there is no torsional shear stress, the principal stresses will be z and h.
The radial stress is negligible,
2/4411.02
882232.0
2mmN
Pi ==
-
58
Figure 3.7: Resultant Stress of Reactor
To determine the maximum stress;
1 - radial = 84.0017 0.4411 = 83.5606 N/mm2
The value obtained is well below the maximum allowable design stress, f250C
(161N/mm2). Thus, the design is satisfactory.
3.21 ELASTIC STABILITY (BUCKLING)
If the resultant axial stress, z due to the combined loading is negative, the reactor may
fail due to elastic instability (buckling). The condition for this not to take place is the
maximum compression stress, c must be more than the critical buckling stress, c,max.
c,max = w + b (-ve)
= - 5.8256 - 0.6266
= -6.4522 N/mm2
36.8011
84.0017
Up-wind
35.8011
84.0017
Down-wind
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59
c = 2 x 104 (t/Do)
= 2 x 104 (20/3848.6)
= 103.9338 N/mm2
The maximum compression stress is 6.4522 N/mm2< 103.9338 N/mm2, well below the
critical buckling stress. So design is satisfactory.
3.22 REACTOR SUPPORT
Reactor will be placed vertically. Cylindrical skirt support is used. The skirt thickness
must be sufficient to withstand the dead weight loads and bending moments imposed on
it by the vessel; it will not be under the vessel pressure. From Sinnot (2000) the resultant
stresses in the skirt will be:
wsbss tensile =)( And wsbss ecompressiv +=)(
Where =bs bending stress in the skirt
ssss
s
DttD
M
)(
4
+=
=ws the dead weight stress in the skirt,
sss ttD
W
)( +=
Where Ms = maximum bending moment, evaluated at the base of the skirt (due to wind,
seismic and eccentric loads,
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60
W = total weight of the vessel and contents,
Ds = inside diameter of the skirt at the base,
ts = skirt thickness.
As first trial take the skirt thickness as the same as the shell thickness, 20 mm
ts = 20mm
Ds = 3.8086m (=Di shell)
W = 1401.3971 kN
Wind loading = Fw = 5.6942 kN/m
Bending moment at the base of the skirt
Ms = (5694.2 x (3.8086+0.020)2)/2 = 41.7333 kNm
=bs ssss
s
DttD
M
)(
4
+
= 4(41733.3)/((3.8086+0.020)(0.020)(3.8086))
=bs 0.1822 N/mm2
=wssss ttD
W
)( +
= 1401397.1/((3.8086+0.020)(0.020))
=ws 5.8256 N/mm2
wsbss tensile =)( = -5.6434 N/mm2
wsbss ecompressiv +=)( = 6.0078 N/mm2
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61
The skirt thickness should be such that under the worst combination of wind and dead-
weight loading the following design criteria are satisfied:
sss Jftensile sin)(
s
s
s
sD
tEecompressiv sin125.0)(
where fs = maximum allowable design stress for the skirt material at ambient
temperature,
J = weld joint factor
s = base angle of a conical skirt, normally 80o to 90 o
E = Young modulus of the material = 200,000 N/mm2 for plain carbon steel
)(tensiles = -5.6434 N/mm2< 83.7 N/mm
2 satisfied
90sin4245
22000,200*125.0)(
ecompressivs
= 6.0078 N/mm2 < 131 N/mm
2 satisfied
3.23 NOZZLES SIZING
Four nozzles are designed according to each stream specifications: Feed stream nozzle,
reactor product outlet nozzle, cooling water (coolant) inlet, and cooling water outlet.
3.24 FEED NOZZLE
Optimum duct diameter, dopt = 226G0.5-0.35
Flow rate, G is obtained from HYSYS = 36.3945 kg/s
Density, also from HSYSY = 11.8126 kg/m3
dopt = 574.52 mm
= 0.5745 m
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62
Nozzle thickness,
Design pressure = 7510.8 kPa
Material of construction = Stainless Steel 04 Cr 29 Ni 9
Design stress (250 )C = 0.98x108 N/m2
Nozzle thickness, e = 0.01466 m
= 14.66 mm
Adding corrosion allowance of 2mm, thickness of feed nozzle = 16.66 mm
3.25 OUTLET PRODUCT NOZZLE
Optimum duct diameter, dopt = 226G0.5-0.35
Flow rate, G is obtained from HYSYS = 36.3945 kg/s
Density, also from HSYSY = 8.7225 kg/m3
dopt = 638.85 mm
= 0.639 m
Nozzle thickness,
Design pressure = 7510.8 kPa
Material of construction = Stainless Steel 04 Cr 29 Ni 9
Design stress = 0.98x108 N/m2
Nozzle thickness, e = 0.01466 m
= 14.66 mm
Adding corrosion allowance of 2mm, thickness of feed nozzle = 16.66 mm
)P(2f
DPe
i
ii
=
)P(2f
DPe
i
ii
=
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63
3.26 COOLING WATER INLET NOZZLE
Optimum duct diameter, dopt = 226G0.5-0.35
Flow rate, G decided = 4.40 kg/s
Density of water = 922.2 kg/m3
dopt = 43.6136 mm
= 0.04361 m
Nozzle thickness,
Design pressure = 7510.8 kPa
Material of construction = Carbon Steel
Design stress = 1.18x108 N/m2
Nozzle thickness, e = 0.12165 m = 121.65 mm
Adding corrosion allowance of 2mm, thickness of feed nozzle =123.65 mm
3.27 COOLING WATER OUTLET NOZZLE
Optimum duct diameter, dopt = 226G0.5-0.35
Flow rate, G decided = 4.40 kg/s
Density of water = 922.2 kg/m3
dopt = 43.6136 mm
= 0.04361 m
Nozzle thickness,
)P(2f
DPe
i
ii
=
)P(2f
DPe
i
ii
=
-
64
Design pressure = 882.232 kPa
Material of construction = Carbon Steel
Design stress = 1.18x108 N/m2
Nozzle thickness, e = 0.12165 m = 121.65 mm
Adding corrosion allowance of 2mm, thickness of feed nozzle =123.65 mm
CHAPTER 4
SPECIFICATION SHEET
Following table and figure are the specification sheet and drawing for the methanol reactor
which is the R-201. The specification sheet provides the summary of all the important
information of the methanol reactor and the figures shows the mechanical drawing of the reactor.
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65
Table 4.1: Specification Sheet for Methanol reactor, R-201
Reactor Data Sheet Equipment No.(Tag) R-201
Description Methanol Reactor
Sheet no. 1/1
OPERATING DATA
No. REQUIRED 1 ORIENTATION Vertical
TYPE Multitubular Catalytic Fixed Bed JACKETED Yes
SHELL TUBE
CONTENTS Cooling water Methanol, hydrogen, carbon
monoxide, carbon dioxide, water
DIAMETER (OUTER) 9.47 m 0.0605 m
LENGTH 7.1 m 6.096 m
DESIGN CODE BS 5500 BS 5500
MAX. WORKING PRESSURE 6828.0 kPa 6828.0 kPa
DESIGN PRESSURE 7510.8 kPa 7510.8 kPa
PRESSURE DROP (ALLOWED/CALC) 0.1 kPa 2 kPa
MAX. WORKING TEMP 155`C 250`C
DESIGN TEMPERATURE 175C 275 C
VELOCITY 440 kg/s 259.3 kg/s
No. OF PASSES 1 1
HEAT EXCHANGED 1.6859x106 kJ/hr - 1.6859x106 kJ/hr
MECHANICAL DESIGN ON SHELL
MATERIAL Carbon Steel
JOINT FACTOR 0.9
CORROSION ALLOWANCE 2 mm
THICKNESS 807 mm
NO. OF BOLTS 448 DIAMETER 18mm MATERIAL Cr-Mo STEEL
NOZZLE Torispherical THICKNESS 16.66mm MATERIAL Carbon Steel
FLANGE Torispherical THICKNESS 131.75mm MATERIAL Carbon Steel
GASKET WIDTH 0.5mm MATERIAL Asbestos
MECHANICAL DESIGN ON TUBES
MATERIAL Stainless Steel 304 (18Cr/8Ni)
NO. OF TUBES 15675
NOMINAL SIZE 0.0565 m
OD 0.0605 m
ID 0.0525 m
THICKNESS 0.00792 m
TUBE PITCH 0.076 m (triangular)
CATALYST
TYPE CuO-ZnO-Al2O3
SPECIFIC SURFACE AREA 115 x 1015 m2/g
SHAPE Sphere
BULK DENSITY 1300-1500 kg/m3
DIAMETER 5 mm
POROSITY 0.5
LIFE SPAN 2years
REMARKS AND NOTES :-
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66
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67
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68
CHAPTER 5
COST ESTIMATION
Purchased Cost, $ = ( )CFHDSM 82.0066.19.101280
&
Where D = diameter, ft = 14.58
H = height, ft = 87.48
Fc = Fm Fp
M&S = Marshall and Swift Index = 1309.8
Table 5.1: Correction factor for pressure vessels
Shell material CS SS Monel Titanium
Fm clad 1.00 2.25 3.89 4.25
Fm solid 1.00 3.67 6.34 7.89
Material of the reactor is SS therefore Fm = 3.67
Fp = 1.18
Fc = Fm Fp = 4.33
Purchased Cost, US$ = $1,404,881.68
F.o.b equipment cost, US$ = 55,056.43 (extrapolation from figure E.2-3, Douglas, 1988)
Total Cost, US$ = $1,459,938 = RM 4,470,330.49
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69
CHAPTER 6
OPERATING MANUAL PROCEDURE
6.1 SCOPE AND OBJECTIVE
This procedure provides operating instruction for the Methanol Reactor System;
Included are operation instructions for system start-up and shutdown.
6.2 STANDARD OPERATING CONDITION
Parameter Normal Set point (R-201)
Temperature 250 C
Flow rate 933595 kg/hr
Pressure 6828 kPa
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70
6.3 PROCEDURES
Reactor Pre-start up Procedures
No Procedures Steps Checklist
1 Ensure that inventory is available at each unit operation. Note that
reactor will be last unit operation to start up.
2 Verify Vessel Readiness for start up, i.e., all maintenance and I&E
works completed, the reactor is clean and rinse with process water
as necessary, man way close, and all blind are removed and proper
gasket are installed.
3 Line up cooling water to shell-side of R-201
4 Line up all transmitter and stroke all control valve
5 Close, plug and cap all bleeders
6 Place the reactor temperature indicators and pressure indicator (PI)
in service
7 Purge reactor with high pressure N2 until vent O2 is less than 6%.
8 Pressure up the reactor with high-pressure nitrogen to 400kPa and
performed leak check on all flanges.
10 Pressure up the reactor to 6828kPa and check flanges for leaks.
Initiate the Reactor
No. Procedures Steps Checklist
1 Condition reactor, R-201, 6828kPa and temperature 250C
2 Adjust the feed to desired flow rate
4 The system is stabilized once feed is heated up to the standard
operating condition.
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71
Hot Hold and Shut Down the Reactor
No. Procedures Steps Checklist
1 Notify Wastewater Unit, Utilities Unit and Shipping Unit.
2 Reduce flow rate to 70% of feed rate.
3 Shut down heat exchanger by gradually reducing hot stream flow
rate
4 Reduce reactor feed further to 50% of feed rate, then to 30%.
5 To HOT HOLD the reactor, block all isolation valves, control
valves and manual block valves for cooling water, oxygen and
feed. Verify at field that all isolation and control valve are closed.
This is to put reactor on HOT HOLD.
6 To SHUT DOWN the reactor, block all isolation valves, control
valves and manual block valves for feed. Verify at field that all
shutoff and control valve are closed.
7 Open both man way of the reactor and inspect inside the reactor.
Access the need of cleaning. Prepare the reactor for washing with
process water if required.
8 Inspect the condition of catalyst inside reactor. Check if there is
any coking or crash powder of catalyst.
9 Prepare for vessel maintenance.
10 If not clean, perform washing.
Emergency Procedures: Placing Reactor on Hot Hold
When Reactor (R-201) is placed on Hot Hold, the reactor is isolated in an attempt to
maintain reactor pressure and temperature so that the feed stay in optimum temperature.
Cooling water is not allowed to cool down and solidify. An electric heater with backup
power supply (or generator) maybe used to keep cooling water temperature from
dropping. Loss of electrical power is the primary reason for placing the reactor on Hot
Hold. For power outages of short duration (< 10 minutes), the reactor shall be placed on
Hot Hold during power outage.
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72
6.4 CATALYST CHANGE OUT PROCEDURE
The change out of the reactors catalyst is due to the end of the life of the catalyst.
Catalyst performance is monitored by the temperature profile across the reactor;
decrease in temperature profile across reactor indicates the deactivation of catalyst.
Thus, this will lead to the reduction in production of methanol. Once the production is
not at the target, decisions are made to change the catalyst.
Removal of Top and Bottom Cover of Methanol Reactor
Erect Scaffolding around the top and bottom part of methanol reactor prior to shut down.
Blind is put at the flange to avoid any foreign materials from entering the reactor or
lines. The top cover is removed and hanged by using 3 chain blocks
Dismantle thermocouples
There are 5 thermocouples that is to be removed Thermocouples are being removed very
slowly (unscrew) and carefully by vibrating it from side to side in order to avoid it being
stuck in the tubes.
Removal of Spool
The spool is removed after the top cover is being removed. Only the venting line is
removed (including the block valve).The process venting line is remained in position.
The venting line spool is removed and laid down at the side of the reactor. The un-
removed process line is covered with plastic to prevent any entrance of water or particle.
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73
Removal of Spent Catalyst
For unloading of the old, spent catalyst, a large and powerful vacuum system is needed.
The vacuum host used must be in tight position the tube holes. The method used for
removing the spent catalyst is shown below.
Figure 6.1: Vacuum System for Unloading Catalyst
Tubes at the reactor
Plant air @4 bar
Step 2: The hollow rod is used to push the spent catalyst which is in packed and tight
condition. The vacuum host is used to suck all dust release during the activity.
Tube is pushed up
and down to remove
catalyst
Vacuum host
Step 1: A hollow rod is attached with the plant air source.
Plant air @4 bar
-
74
Tube cleaning
The reactor tubes may be fouled both on the inside and outside surface; thus reducing
the heat transfer of the heat of reaction from the process. Inside tube area fouling is
caused by compounds evaporated from the catalyst and condensed on the inner tube
surface.
Outside tube area may be fouled by compounds from decomposition, polymerization or
oxidation of the Dowtherm Oil. A long steel rod with a wire brush at the end of the rod
is used to clean the tubes.The brush rod is used to scrub the tubes for three times
(minimum) to ensure complete cleaning of the tube.
Upon completion of the tube cleaning, all the tubes are inspected to ensure the inner
surface of the tubes is clear of any deposit.
Eddy Current Test
300 tubes are selected randomly that are to be undergone eddy current test.The test is
concurrently carried out with the spent catalyst removal. Selected tubes for the test is
cleared and cleaned. Later the test is done while personnel removing catalyst from other
tubes. This is in order to minimize time lost.
A tube that has passed the test indicates that the tubes are free from corrosion or erosion
and the tube wall thickness is uniform.
Pneumatic Test
Blinding must be done before conducting the pneumatic test.Pneumatic test was
performed on the shell side as soon as the eddy current test completed. Shell side was
cleaned by hydro jet.
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75
Loading a charge catalyst into a tubular reactor with thousands of tubes is not a enviable
job. It must be well planned and supervised in order to avoid poor loading. Poor loading
will results in poor performance of the reactor and uneven flow distribution among the
tubes.
For instance, a tube in which the catalyst has bridged during loading may end up with
too little catalyst with low pressure drop (equals high flow). This tube will pass more
unconverted syngas than the average tube. If a tube with bridging results in catalyst
being loaded far above the Dowtherm A level, overheating and possible damage to the
tube may occur during operation.
Catalyst Mixing
The catalyst loadings comprise a layer of diluted catalyst. It consists of a typical mixture
of Cu(60-70%)- ZnO(20-30%) Al2O3 (5-15%). Mixing is done by small amount (small
container where it is put in a bagging bag). This is to ensure thorough mixing of the
catalyst.
Installation of Mesh, Bottom Cover and Thermocouple
Before new catalyst is being charged in, the mesh, bottom cover and thermocouple must
be installed. There are 15 thermocouples of 5 different heights to be inserted inside the
reactor tubes.
Tubing or a string is to be used to guide the thermocouples so that the thermocouples
would be at the center of the tubes.The guiding rod is a hollow 10 mm instrument tubing
rod inserted into the tube; and the thermocouple is inserted into the hollow part of the
rod.
-
76
The thermocouples to be inserted inside tubing of slightly larger diameter and inserted
inside the reactor tubeIf string is used, the thermocouple need to be wrapped with the
string and the thermocouple is pull up inside the reactor tube using the string.
Thermocouples must be adjusted according to the height recommended by licensor and
properly tagged to ensure the right connection to DCS (Distributed Control System); but
in the actual situation, the thermocouples could not be adjusted after installation because
every 5 thermocouples (1 set) are tightened to each other.
It is very important for the thermocouples to be in an accurate height and radially centre,
to ensure the reliable readings and monitoring of catalyst activity during normal
operation.
As the thermocouples are inserted into the tubes, the bottom cover is simultaneously
closed, leaving a confined space for personnel inserting the thermocouples.
Figure 6.2: Installation of Thermocouple
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77
Catalyst Loading
A plastic funnel connected with transparent host of 5000 mm length is used to load
the catalyst. This will avoid free fall of the catalyst and hence reduce the possibility of
broken catalyst. The catalyst is added little by little amount (piece by piece) to ensure
that the level of the catalyst loaded is not exceeding the limit.
Besides, bridging of catalyst in the tubes may happen if it is poured too fast. The
required height is obtained by level checking. The tubes which have been overloaded
with catalyst are emptied via vacuum and then reloaded again until the required height is
obtained.
Differential Pressure Test
The differential pressure (DP) test is carried out after the completion of level checking to
ensure the uniformity of the DP across the catalyst in every tube .Ideally, all tubes
should be checked for pressure drop after loading (or for equal flow at fixed upstream
pressure).
But, due to the time consuming in such checking, it is seldom done .As a minimum, it is
advisable to check a small fraction of the tubes. The equipment used for this test is a
differential pressure meter with instrument air supply at 0.5 bars.
300 tubes are selected randomly to perform the DP test, then the average reading is
taken and its standard deviation is calculated. For the rest of the tubes, any tubes that are
under/above the range compared to the calculated standard deviation is considered fail,
thus, the tube need to be reloaded. For the tubes with thermocouples, a different average
and standard deviation is used.
All data is recorded for future references.
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78
Catalyst Blowing and Bottom Spool Installation
The reactor top cover is reinstalled as soon as the P test completed. The reactor is then
heated up by passing the heat transfer oil into the shell side of the reactor. The oil system
temperature is raised by 30oC every hour; until the temperature reaches 273 oC.
Once heating is done, the tube side of the reactor is blown to remove catalyst dust in the
tubes. Bottom spool is reinstalled after blowing is completed. The reactor now is ready
for start up.
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79
CHAPTER 7
MINOR EQUIPMENT DESIGN 1: COMPRESSOR
Compressors are machines that compress air or gas. Compression is achieved through
the reduction of the volume that the gas occupies. Each compressor is generally a
function of the gas capacity, action and discharge head. There are four types of
compressors namely, centrifugal, axial, reciprocating and rotary.
Figure 7.1: Four types of compressor, centrifugal, axial, reciprocating and rotary
compressor (clockwise) (Saeid et al. 2006)
-
80
Centrifugal and axial-flow units are continuous flow compressors. Centrifugal
compressors use a rotating disk or impeller in a shaped housing to force the gas to the
rim of the impeller, increasing the velocity of the gas. A diffuser (divergent duct) section
converts the velocity energy to pressure energy. Centrifugal compressors are generally
used for higher pressure ratios and lower flow rates.
On the other hand, axial-flow compressors are dynamic rotating compressors that use
arrays of fan-like airfoils to progressively compress the working fluid. Axial-flow
compressors are used for lower-stage pressure ratios and higher flow rates. Axial-flow
compressors are mainly used as compressors for turbines. The pressure ratio in a single-
stage centrifugal compressor is about 1.2:1, while axial is 1.05:1 and 1.15:1.
Reciprocating compressors are generally used when a high-pressure head is requested at
a low flow rate. However, because of difficulty in preventing gas leakage and lubricating
oil contamination, reciprocating compressors are seldom used for compression of gases
requiring high purity.
Centrifugal compressor is preferred in this case where high pressures are required at
relatively low flow rates. Natural gas at 255C and 963.25 kPa is to be compressed to
1920 kPa before feeding into the primary reformer. A 1.99 pressure ratio is required.
Centrifugal compressor is preferred over axial-flow compressor as it is generally used
for higher pressure ratios. In industrial compressors, the compression path will be
polytropic where Pvn = constant (P = pressure, v = volume). The work required is given
by a general expression,
=
11
1
1
21
n
n
P
P
n
nT
M
RZW
Where;
W = Compressor work (kJ/hr)
Z = Compressibility factor
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81
R = Gas constant (kJ/kgmol.K)
T1 = Inlet temperature of the stream (K)
P1 = Initial pressure (bar)
P2 = Final pressure (bar)
= v
p
C
C = 1.34
Compressor efficiencies are usually expressed as isentropic efficiencies, i.e., on the basic
of an adiabatic reversible process. Isothermal efficiencies are sometimes quoted, and
design calculations are simplified when isothermal efficiencies are used. The work of
compressor and single stage compressor can be calculated by assuming the compressor
is operated ideally under adiabatic compression.
Parameter for Calculation:
Mass flowrate = 74 476.21 kg/hr
Volumetric flow = 24 795.55 m3/hr = 9.665 m3/s
Inlet temperature, T1 = 403.3 K
Gas Constant, R (kJ/kgmol K) = 8.314 kJ/kmol.K
From ICON simulation, = v
p
C
C 1.34
Inlet pressure, Pl = 243.18 kPa (ambient)
Outlet pressure, P2 = 2837 kPa
Compressibility factor, Z = 0.9667
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82
From Figure X,
Figure 7.2 Approximate polytrophic efficiency centrifugal and axial flow compressor
(Sinnot 2000)
Design Pressure = 1.035 x 2837.1 kPa
= 2936.4 kPa
For Centrifugal Compressor, at volumetric flow rate = 3.53 m3/s,
Compressor efficiency, Ep = 74%
For compression, Ep = polytropic work/actual work required
From Equation 3.38, Sinnot (2000),
Polytropic temperature exponent, m = Ep 1-
= 74.034.1
1-34.1
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83
= 0.341
Polytropic exponent, n = m1
1
= 341.01
1
= 1.518
Work required, -W =
11
1
1
21
n
n
P
P
n
nZRT
=
1238646
2784204
1518,1
518.1)3.403)(314.8(9667.0
518.1
1518.1
= 12 467.34 kJ/kmol
Actual work required = 74.0
12467
= 16 847.76 kJ/kmol
Shaft power = hrkmolxkmol
kJ/86.1862
16847.76
= 31 385 032.06 kJ/hr
= 8 718 kW
Outlet temperature, T2 =
m
P
PT
1
21
= 932 K = 659 C
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84
Table 7.1: Specification Sheet for compressor K-301
Compressor Data Sheet
Equipment No. (Tag) K-301
Description High Speed Centrifugal
Compressor
Sheet No. 1/1
GENERAL
COMPRESSOR TYPE Centrifugal No. OF UNITS 1
LUBRICATION METHOD Oil Free Flooded Forced Lubrication Lube Oil Console COOLING METHOD Air Cooled Water Cooled OPERATION MODE Continuous Parallel Intermittent Indoor Outdoor
OPERATING CONDITIONS & REQUIREMENTS
INLET FLOW RATE Normal 1.8 m3/s Maximum n/a
INLET TEMPERATURE 403 K
OUTLET TEMPERATURE 932 K
INLET PRESSURE 2.43 bar
OUTLET PRESSURE 28.37 bar
DESIGN PRESSURE 29.36 bar
MOLECULAR WEIGHT 39.97 kg/kmol
RELATIVE HUMIDITY 0.4% RH
SITE CONDITIONS/UTILITIES
AIR QUALITY Saliferous Salt Laden Corrosive ALTITUDE ABOVE SEA LEVEL 50 m
AMBIENT TEMPERATURE
Normal 28C
Max 32C
Min 25C
REQUIRE TROPICALIZATION Yes No REQUIRE WINTERIZATION Yes No
COOLING WATER SUPPLY Pressure n/a
Temperature n/a
COOLING WATER RETUN Pressure n/a
Temperature n/a
COOLING WATER FLOW RATE n/a
AUXILIARIES TO BE SUPPLIED
Electric Motor Driver Diesel Engine Driver
Gear Unit / Accessories Guards
Inlet Filter / Silencer Blow-Off / Silencer
Inter Cooler / Water Cooled After Cooler / Water Cooled
Inter Cooler / Air Cooled After Cooler / Air Cooled
Outlet filter / Accessories Dual Dryer / Accessories
Air Reservoir / Accessories Safety Relief Valves
Barring Gear Noise Abatement Shroud
Air Reservoir / Accessories
Common Skid (Compressors Package / Dryer /Filter/ Reservoir)
Spreader Bar and Sling Assembly
ELECTRIC MOTOR DRIVER
Motor Rated Power 8 718 kW
Winding Configuration Delta Star
Space heater Yes
Power kW
Voltage V
No Power Factor Safety Factor 5%
Motor Type Squirrel Cage Synchronous Operation Method Direct On Line Soft Starting Rotation Viewing at Motor Fan CW CCW Remarks and Notes :- Driver rated power shall be at least 110% of the maximum power absorbed by the compressor.
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85
CHAPTER 8
MINOR EQUIPMENT DESIGN 2: PUMP
8.1 INTRODUCTION
The function of this pump (P-203) is to pump the water to acetic acid reactor
8.1 SELECTION OF THE PUMP TYPE
Pumps can be classified into general types:
i- Dynamic pumps, such as centrifugal pumps
ii- Positive displacement pumps, such as reciprocating and diaphragm pumps
A sketch showing the essential features of a diaphragm pump is shown in figure follows.
Diaphragm pumps are a type of reciprocating positive displacement pump in which
liquid is pumped by a reciprocating diaphragm, which is driven by a solenoid, a
mechanical drive, or a fluid drive. Other versions are air operated. Pump has inlet and
outlet valves.
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86
Figure 8.1: Schematic diagram of basic element of a diaphragm pump
8.3 PROCESS DESIGN
Table 8.1: Properties of process streams of P-203
Suction Discharge
Pumping temperature 109 C 50.00 C
Viscosity, 0.000257139 Pa.s 0.00097574 Pa.s
Pressure 137.389 kPa 3 189 406 kPa
Density 951.7791 kg/m3 997.3112 kg/m3
Parameter of the piping
Length = 100m Area = 0.0157 m2
Diameter = 0.1m Volume = 1.57 m3
From ICON;
Liquid volume Flow rate = 17.176 m3/hr = 0.004771 m3/s
Mass Flow = 17130.43kg/hr = 3.925:X/s
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87
4O)(P$, ] = )(7$O;7O 4O)(P$, ] = 0.004771%'/L0.0157%. = 0.3037%L
"O = aH] "O = 951.7791 0.3037 0.1 0.000257139 = 112412
This is turbulent flow as Re > 4000.
Table 8.2: Pipe roughness
Material Absolute roughness ,mm
Drawn tubing 0.0015
Commercial steel pipe 0.046
Cast iron pipe 0.26
Concrete pipe 0.3 to 3.0
The type of pipe chosen is commercial steel pipe. for commercial steel is 0.046mm.
D = 0.046 10K'0.1 = 4.6 10Kv Referring to Moody chart, at /D = 4.6x10-4 and Re = 112412, the friction factor, f =
0.022. Assume that the frictional pressure drop due to the changing flow direction and
cross sectional area of the pipe is negligible compared to the pressure drop due to the
roughness. The equation below is applied.
ha = (p2 p1) + (z2 z1) + (V22
V11)
2g
Where 1 and 2 indicate point of suction and discharge respectively.
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88
The pressure drop in a pipe:
Pf = 8f /M.0 V 2
Pf = 8 x 0.022 x M999.M x 0.5 x 951.7791 x 0.30372
Pf = 7 725Pa = 7.725kPa
To determine head losses; where the loss coefficient, KL, which is defined as
KL = &+ =
u By rearranging:
hL = u x
.k hL =
._u_M.9.'9' x 9.'9'..M
hL = 0.8 m
To find the actual head rise, ha:
P = gha
ha = k = '9_.9M_M.M.M
ha = 326.87 m
To find the total head required, assume that z = 20m
Total head required is given by:
Total head = mk + k + z
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89
Total head = '9_.9M9.9.. _M.M.M + '9_.9M_M.M.M+ 20
Total head = 354 m
Theoretical hydraulic power, W
= 0.163 x` = 0.163 9336.91000 0.005 354 = 0.2693:
To calculate the capacity of the pump to be used to obtained the efficiency,
Capacity = rRmUQRT-{-soT
Capacity = MM'9/_M.M/
Capacity = 18 m3/hr
We assume that the efficiency of the pump is 65%.
To calculate the shaft power driving the pump, Wshaft,
= m
Wshaft = m
= 9...9._
Wshaft = 0.414kW
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90
Brake horse power:
BHP = m x M__9
BHP = 9...9._ x M__9
BHP = 0.0075 hp
The pressure at the inlet to a pump must be high enough to prevent cavitations from
occurring in the pump. Cavitations occurs when bubbles of vapor, or gas, from in the
pump casing. Vapor bubbles will from if the pressure falls b