team 4 final presentation
TRANSCRIPT
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Yousef Ghotok Joseph Havelin
Wednesday, 23rdApril 2008
Chemical Reaction Engineering
Dr. Robert P. Hesketh
Dr. Concetta LaMarca
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Outline
Background, Process Reactions, and Rate Expressions
Initial Calculations
Case I Reactor Volume Using Simple Reaction Rate Expression
Case II Pressure Drop and Reactor Configuration
Case III Multiple Reactions
Case IV Energy Balance for Multiple Reactions
Case V Optimization of Reactor Design
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Background, Process Reactions, and
Rate Expressions
Maleic anhydride is a cyclic organic chemical with formula C4H2O3.
Primary Use: Synthesis of Unsaturated Polyester Resins N-butane is the most common feedstock used in production of
maleic anhydride.
Bergman and Frisch discovered synthesizing maleic anhydride from
n-butane by catalyzing the oxidation reaction.
By 1985, all commercial producers of maleic anhydride in the US
used n-butane as their feed.
Worldwide Production: 1,359,000 tons per year
US Production: 273,800 tons per year
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Background, Process Reactions, and
Rate Expressions
The partial oxidation of n-butane at the surface of the catalyst
produces maleic anhydride and water, and side reactions produce
carbon monoxide, carbon dioxide and water.
Catalyst used is vanadium-phosphorus oxide ((VO)2P2O7).
Reactor Type Fixed-Bed Reactor
Advantages: easy use and low maintenance demand
Disadvantages: hot spots and pockets of diluted butane
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Background, Process Reactions, and
Rate Expressions
Balanced Stoichiometric Equation: Cases I and II
C4H10 + 3.5O2 C4H2O3 + 4H2O
Rate Equation: Cases I and II
rM
= k1
CB
Pseudo-First Order Rate Constant: Cases I and II
k1= 8.1048 106 exp(-15649/T) [m3/kgcat-sec]
Reactions From the Oxidation of N-Butane: Cases III, IV, and V
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Background, Process Reactions, and
Rate Expressions
Reaction Pathway Diagram: Cases III, IV and V
Reaction Rate Expressions: Cases III, IV and V
Rate Constants and Parameters
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Initial Calculations
Assumptions:
Open system at steady state
Negligible changes in kinetic and potential energy
Negligible work
14 days worth of downtime per year Inlet gas 1.7 mol% n-butane
80% conversion rate; side reactions not considered in this
preliminary stage
25,000 tons/year production rate
Reference temperature = 25 C = 298 K
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Initial Calculations
Stoichiometric Tables:
Molar Stoichiometric Table
Mass Stoichiometric Table
Species Initial (kmol/s) Change (kmol/s) Final (kmol/s)
H2O 0 0.03362 .03362
C4H10 0.01051 -0.00841 .00210
O2 0.12758 -0.02942 .09816N2 0.47993 0 .47993
C4H2O3 0 .00841 .00841
Total 0.61802 .00042 .62222
Species Initial (kg/s) Change (kg/s) Final (kg/s)H2O 0 0.60568 .60568
C4H10 0.61065 -0.48852 .12213
O2 4.08231 -0.94133 3.14099
N2 13.44455 0 13.44455
C4H2O3 0 0.82417 .82417
Total 18.13751 0 18.13751
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CaseI
Additional Assumptions: Isothermal Reactor Model to Estimate
the Reactor Volume
Isothermal Temperature = 673 K
Bulk Density = 900 kgcat/m3
Void Fraction = 0.44
Particle Diameter = 5 mm
Inlet Pressure = 1.5 bar
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CaseI
Polymath: Isothermal Packed
Bed Reactor Model
Results
Stream Flows
Species
Initial
(kmol/s)
Final
(kmol/s)
H2O 0 0.0336C4H10 0.0105 0.0021
O2 0.1276 0.0982
N2 0.4799 0.4799
C4H2O3 0 0.0084
Variable Value
Conversion 0.8000043
Catalyst Wt. 57675 kg
Bulk Density 900 kgcat/m3VRXTR 64.08333 m
3
Aspen Plus: RPLUG Reactor
Stream Flows
Substream: MIXED FEED PRODUCT
Mole Flow (kmol/sec) VAPOR VAPOR
BUTANE 0.0105 2.08E-03
OXYGEN 0.1276 0.0981338MALEI-01 0 8.42E-03
WATER 0 0.0336756
NITROGEN 0.4799 0.4799
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CaseI
Polymath: Isothermal Packed Bed Reactor Model
Effect of Catalyst Weight and Temperature on Conversion
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 10000 20000 30000 40000 50000 60000
Conversionofn-butane
Catalyst Weight (kg)
Effect of Catalyst Weight and Temperature on Conversion
350C
375C
400C
425C
450C
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CaseII
Additional Assumptions: Pressure Drop in the Fixed-Bed Reactor
Must not Exceed 1/10 the Initial Pressure
Pressure drop along the length of the reactor
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CaseII
Polymath: Isothermal Packed
Bed Reactor Model
Results
Stream Flows
Variable Value
Conversion 0.8008841
Catalyst Wt. 60500 kg
Bulk Density 900 kgcat/m3
VRXTR 67.2222 m3
Species
Initial
(kmol/s)
Final
(kmol/s)
H2O 0 0.0336371
C4H10 0.0105 0.0020907
O2 0.1276 0.0981675
N2 0.4799 0.4799
C4H
2O
30 0.0084093
Aspen Plus: RPLUG Reactor
Stream Flows for Single Tube Reactor
Stream Flows for Multi-Tube Reactor
Substream: MIXED FEED PRODUCT
Mole Flow (kmol/sec) VAPOR VAPOR
BUTANE 0.0105 2.02E-03
OXYGEN 0.1276 0.097918
MALEI-01 0 8.48E-03
WATER 0 0.0339223
NITROGEN 0.4799 0.4799
Substream: MIXED FEED PRODUCT
Mole Flow (kmol/sec) VAPOR VAPOR
BUTANE 0.0105 2.07E-03
OXYGEN 0.1276 0.0981009
MALEI-01 0 8.43E-03
WATER 0 0.0337133
NITROGEN 0.4799 0.4799
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CaseII
Polymath: Isothermal Packed Bed Reactor Model
Effect of Catalyst Weight and Temperature on Conversion
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 10000 20000 30000 40000 50000 60000
Conversionofn-butane
Catalyst Weight (kg)
Effect of Catalyst Weight and Temperature on Conversion
623K
648K
673K
698K
723K
623K Old
648K Old
673K Old
698K Old
723K Old
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CaseII
Polymath: Isothermal Packed Bed Reactor Model
Effect of Length on Pressure Drop
0
10
20
30
40
50
60
70
80
90
0 1 2 3 4 5 6 7
PressureDrop%
Length of Reactor (m)
Effect of Length on Pressure Drop
Dp=7mm
Dp=14mm
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CaseII
Comparison of Three Models
# of
Tubes Po (Pa) Pf(Pa) T (K)
Pressure Drop
%
Polymath 1 150000 135500 673 8.961
Aspen Single Tube 1 150000 136543.8 673 8.97
Aspen Multi-Tube 37220 150000 136546.8 673 8.97
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CaseIII
Additional Assumptions:
Side reactions and byproducts are taken into consideration
Polymath: Isothermal Packed
Bed Reactor Model
Results
Stream Flows
Variable ValueConversion 0.80742
Catalyst Weight 212000 kg
Bulk Density 900 kgcat/m3
VRXTR 235.5556 m3
SpeciesInitial
(kmol/s)Final
(kmol/s)
C4H10 0.023 0.0044292
O2 0.2793 0.194784
N2 1.05065 1.05065
C4H2O3 0 0.0084034
H2O 0 0.0884504
CO 0 0.0219674
CO2 0 0.0187201
Aspen Plus: RPLUG Reactor
Stream Flows for Multi-Tube Reactor
Stream Flows for Single Tube Reactor
Species
Initial
(kmol/s)
Final
(kmol/s)
C4H10 0.023 0.00440319
O2 0.2793 0.1946679
N2 1.05065 1.05065
C4H2O3 0 0.00841679
H2O 0 0.0845672
CO 0 0.0219936
CO2 0 0.0187264
Species
Initial
(kmol/s)
Final
(kmol/s)
C4H10 0.023 0.00440171
O2 0.2793 0.1946573
N2 1.05065 1.05065
C4H2O3 0 0.00841548
H2O 0 0.0845759
CO 0 0.0219996
CO2 0 0.0187316
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CaseIII
Polymath: Isothermal Packed Bed Reactor Model
Effect of Reaction Temperature on Selectivity of Maleic
Anhydride
0.203
0.204
0.205
0.206
0.207
0.208
0.209
0.21
0.211
0.212
623 633 643 653 663 673 683 693 703 713 723
Selectivity
Temperature (K)
Effect of Reaction Temperature on Selectivity of Maleic Anhydride
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CaseIII
Aspen Plus: RPLUG Reactor
Effect of Reactor Length on Molar Flows
0
0.05
0.1
0.15
0.2
0.25
0.3
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
MolarFlows(kmol/s)
Reactor Length (m)
Effect of Reactor Length on Molar Flows
n-butane
Maleic Anhydride
Water
Carbon Monoxide
Carbon Dioxide
Oxygen
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CaseIII
Comparison of Three Models
# of
Tubes Po (Pa) Pf(Pa) T (K)
Pressure Drop
%
Polymath 1 150000 137400 673 8.4
Aspen Single
Tube 1 150000 137336 673 8.442666667
Aspen Multi-Tube 99200 150000 137336 673 8.442666667
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CaseIV
Additional Assumptions:
Non-isothermal
Energy Balance taken into consideration
Heat exchanger with constant coolant temperature, Ta = 673 K
Overall Heat Transfer Coefficient = 105 J/(m2*K*s)
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CaseIV
Polymath: Non-Isothermal
Packed Bed Reactor Model
Results
Stream Flows
Variable Value
Conversion 0.8091979
Catalyst Weight 173500 kg
Bulk Density 900 kgcat/m3
VRXTR 192.7778 m3
Species Initial (kmol/s)
Final
(kmol/s)
C4H10 0.023 0.0043884
O2 0.2793 0.1945189
N2 1.05065 1.05065
C4H2O3 0 0.0084033
H2O 0 0.0846545
CO 0 0.0219682
CO2 0 0.0188649
Aspen Plus: RPLUG Reactor
Stream Flows for Multi-Tube Reactor
Species
Initial
(kmol/s)
Final
(kmol/s)
C4H10 0.023 0.00438659
O2 0.2793 0.1945099
N2 1.05065 1.05065
C4H2O3 0 0.00840391
H2O 0 0.0846631
CO 0 0.0219706
CO2 0 0.0188673
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CaseIV
Aspen Plus: RPLUG Reactor
Effect of Varying Ta On Hot Spot
650
660
670
680
690
700
710
720
730
0 0.5 1 1.5 2 2.5 3 3.5 4
Temperature(K)
Reactor Length (m)
Effect of Varying Ta on Hot Spot
Ta=673 K
Ta=663 K
Ta=683 K
Ta=653 K
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CaseIV
Comparison of Isothermal and Real Reactor Models:
Polymath
Aspen
To (K) Ta (K)
FMAN
(kmol/s) Selectivity Conversion
Real 673 673 0.0084033 0.2057963 0.8091979
Isothermal 673 NA 0.0077919 0.206338 0.7492456
To (K) Ta (K)
FMAN
(kmol/s) FCO (kmol/s)
FCO2
(kmol/s) Selectivity
Real 673 673 0.00840391 0.02197067 0.01886732 0.2057866
Isothermal 673 NA 0.00780377 0.02042879 0.01739411 0.2063239
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CaseV
Optimal Reactor Conditions:
To (K) 673
Ta (K) 673
Po (Pa) 1.70E+05
DOverall (m) 6.95
dIndividual Tube
(m) 0.0254
Length (m) 4.158975
Number of Tubes 74870
VRXTR(m3) 157.778
Catalyst Wt (kg) 142000
Selectivity 0.204517
Criteria Met:
Minimal reactor size
Minimized cost
Constant selectivity throughout
runs
Gain < 2
Pressure Drop < 10%