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TRANSCRIPT
Distribution Category:Energy Conservation--
Industry (UC-95f)
ANL--83-9
ANL-83-9 DE83 010690
ARGONNE NATIONAL LABORATORY9700 South Cass Avenue
Argonne, Illinois 60439
SHELLSIDE WATERFLOW PRESSURE DROP AND DISTRIBUTIOIN INDUSTRIAL"SIZE TEST HEAT EXCHANGER
by
H. Halle and M. W. Wambsganss
Components Technology Division
DISCLAIMER
This report was prepared as an account of work sponsored by an agency of the United StatesGovernment. Neither the United States Government nor any agenc- thereof, nor any of theiremployees, makes any warranty, express or implied, or assumes any legal liability or responsi-bility for the accuracy, completeness, or usefulness of any information, apparatus, product, orprocess disclosed, or represents that its use would not infringe privately owned rights. Refer-ence herein to any specific commercial product, process, or service by trade name, trademark,manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recom-mendation, or favoring by the United States Government or any agency thereof. The viewsand opinions of authors expressed herein do not necessarily state or reflect those of theUnited States Government or any agency thereof.
January 1983
3
TABLE OF CONTENTS
Page
NOMENCLATURE ......................................................... 6
ABSTRACT .......................................................... 7
I. INTRODUCTION ......................... m........................ 7
II. TEST EXCHANGER CONFIGURATIONS................................. 8
III. FLOW TEST RESULTS............................. 13
A. Overall Pressure Drop................. ..... 0............ 13
B. Pressure Distribution...................... 23
IV. ANALYSIS AND INTERPRETATION OF RESULTS........................ 23
A. Comparison of Overall Pressure Drops...................... 23
B. Comparison of Exponential Variation of Pressure Drop
versus Flowrate Function.................................. 34
C. Pressure Distribution..................................... 36
D. Nozzle Losses............................................. 36
E. Comparison with Recent Handbook Formulas.................. 40
ACKNOWLEDGMENTS...................................................... 41
REFERENCES .......... 00 ........... w................................... 43
4
LIST OF FIGURES
No. Title Page
1. Test exchanger installed in Flow-Induced Vibration TestFacility (FIVTF) ........................................... 9
2. Test exchanger in no-tubes-in-window configuration (30triangular pattern, eight-crosspass tube bundle).......... 9
3. Test heat exchanger, eight-crosspass configuration........ 12
4. Test heat exchanger, six-crosspass configuration.......... 12
5. Tube layout and identification, 30 triangular pattern.... 14
6. Tube layout and identification, 90* square pattern...... 0 15
7. Schematic representations of field fixes and NTIWconfiguration: (a) Case 8, (b) Case 10, (c) Case 12,(d) Cases 13 and 14....................................... 16
8. Schematic representation of NTIW configurations and fieldfixes: (a) Case 18, (b) Case 21, (c) Cases 23 and 26,(d) Case 22............................................... 17
9. Location of pressure taps on shell (a) 8-crosspass
configuration,(b) 6-crosspass configuration............... 21
10. Overall pressure drop versus flowrate: Cases 4 and 25..... 22
11. Fractional distribution of pressure drop averaged andnormalized to overall pressure drop (30 tube layout,8-crosspass configurations)............................... 28
12. Fractional distribution of pressure drop averaged andnormalized to overall pressure drop (30 tube layout,6-crosspass configurations).......... ..................... 29
13. Fractional distribution of pressure drop averaged andnormalized to overall pressure drop (90 tube layout,8-crosspass configurations)............................... 30
14. Fractional distribution of pressure drop averaged andnormalized to overall pressure drop (900 tube layout,6-crosspass configurations)............................... 31
5
No.
1.
2.
3.
4.
5.
6.
7.
8.
LIST OF TABLES
Title
General features and basic dimensions of test exchanger...
Tbe and tube bundle data.................................
Summary of test cases..................................
Matrix of flow tests .....................................
Overall pressure drop versus flowrate.....................
Pressure drop distribution.................................
Comparison of pairs of corresponding test cases...........
Combined inlet/outlet nozzle region pressure droplosses at 0.063 m3/s (1000 gal/min) flowrate..............
Inlet and outlet nozzle region pressure drop losses at0.126 m3/s (2000 gal/min) flowrate........................
Overall pressure drop comparison: Handbook/test/computer..
Page
10
11
18
20
24
25
32
38
39
4210.
N (KNCLATURE
9.
6
NOMENCLATURE
Symbol Description
Q Flowrate
r Ratio of pressure drop between tap E and the outlet tap tothe overall pressure drop
V Flow velocity in inlet and outlet nozzles
a Exponential variation of pressure drop with flowrate
Y Pressure drop constant
Ap Pressure drop
p Fluid density
Subscripts pertaining to pressure drop, Ap
none Overall, inlet-to-outlet
c Crossflow regions
e End zones, i.e., the first and last baffle compartment notincluding the nozzles and not including the window regionsopposite the nozzles
k Core region not influenced by nozzle flow
n Nozzle region
s Sum of calculated components, Table 10
w Window-turnaround regions
Configuration Code
6 or 8 Number of crosspasses
10, 12, or 14 Nominal nozzle size
30 or 90 30* triangular or 90* square layout tube pattern
N No-tubes-in-window bundle (otherwise full bundle)
F Finned tubes (otherwise plain tubes)
X Field or design fix
7
SHELLSIDE WATERFLOW PRESSURE DROP AND DISTRIBUTIONIN INDUSTRIAL-SIZE TEST HEAT EXCHANGER
by
H. Halle and M. W. Wambsganss
ABSTRACT
The shellside pressure drop between the inlet and outlet
nozzles as well as the pressure drops through individual sec-
tions of different shell-and-tube test-exchanger configurations
are measured under water flow. The segmentally baffled test
exchanger is nominally 0.6 m (2 ft) in diameter, 3.7 m (12 ft)
long and contains a tube bundle of 19 mm (0.75 in.) outside-
diameter tubes. Results are reported of 24 test cases obtained
from various combinations of parameters: 30 triangular or 90
square tube layout patterns (all on a 1.25 pitch-to-diameter
ratio), numbers of crosspasses, sizes of nozzles, plain or
finned tubes, and full or special fix tube bundles. The expo-
nential change of pressure drop as a function of flowrate is
also investigated and an attempt is made to calculate nozzle
losses.
I. INTRODUCTION
Along with the capacity to transfer heat, the pressure drop across a
heat exchanger is a very important parameter. This is because the pressure
drop is proportional to the energy required to force the heat transferring
fluids through the heat exchanger; consequently, pressure drops, in effect,
determine the operating cost throughout the life of the exchanger. One of
the goals of heat exchanger design is to optimize the relationships of heat
transfer capacity, pressure drop, and cost; this task has been greatly
facilitated by development of comprehensive computer programs for the use of
the industry, e.g. (11.
This memorandum reports the pressure drop measurement of ahellside flow
of water through industrial-sized shell-and-tube heat exchanger configura-
tions. The overall inlet to outlet pressure drop as well as the pressuredrop distribution through various sections of the segmentally baffled test
heat exchangers were taken. The work was performed because it appears that
there is surprisingly little information available in the open literature onthe shellside pressure drops of actual, operating heat exchangers. It is
expected that the generated data will be useful for comparison, input, and
perhaps even retrofitting of computer programs for industrial heat exchanger
design and for the sophisticated flow distribution mapping such as theprogram applied in [23.
8
The pressure drop measurements were undertaken as part of a Heat
Exchanger Tube Vibration Program [3] sponsored by the U.S. Department of
Energy, Office of Energy Systems Research, under the Energy Conversion and
Utilization Technology (ECUT) Program. The Heat Exchanger Tube Vibration
Program systematically investigates tube vibration in industrial-sized
shell-and-tube heat exchanger configurations by means of a series of tests
to provide data that contribute to the cost-effective design of heat
exchangers capable of operating without flow-induced vibration damage
[4-6]. This report presents the test results of 24 different configurations
obtained by appropriate assembly of the test exchanger specially designed
and fabricated to provide the versatility required for this program. The
test configurations comprise different combinations of tube layout patterns,
number of crosspasses, size of inlet/outlet nozzles, plain or finned tubes,
etc. The pressure drop as well as the exponential change of pressure drop
as a function of flcwrate are investigated. An attempt is made to calculate
the pressure losses in the inlet/outlet nozzle regions.
Heat Transfer Research, Inc. (HTRI), a not-for-profit research
organization with over 175 members representing heat exchanger designers,
manufacturers, and users, is retained as a consultant to the program. HTRI
serves as an important two-way link with industry and assists to transfer
the results of this test program to its members.
II. TEST EXCHANGER CONFIGURATIONS
The test exchanger is a segmentally baffled shell and tube exchanger,
representative of an industrial heat exchanger. It is specially designed to
permit easy assembly/disassembly necessary to provide different tube bundle
configurations. There is no flow on the tubeside, the tube ends are open to
readily permit observation or instrumentation. The exchanger is piped to
Argonne's Flow-Induced Vibration Test Facility (FIVTF) as shown in Fig. 1.
The FIVTF has four pumps which can be operated in combinations to deliver a
maximum water flowrate of up to 0.50 m3/s (8,000 gpm) to the shellside of
the bundle. Fig. 2 shows the tube bundle, in a no-tubes-in-window configu-
ration, on a specially built transporter prior to insertion into the shell,
seen in the left background.
The general features, dimensions, and data of the test exchanger are
given on Tables 1 and 2. It is configured with eight or six crosspasses,
having seven or five equally spaced baffles, as shown on Figs. 3 and 4
schematically. Figures 5 and 6 show the 30 triangular and 90 square tube
layout patterns and the systems used to identify tube location. Table 2
indicates the baffle cut as a percentage of the shell inside diameter. For
the eight-crosspass configuration the baffle cut provided alternate saddle-
type support for the tubes in rows G and U for the 30 and F and R for the
9
Fig. 1. Test exchanger installed in Flow-Induced Vihra.ion Test Facility(FIVTF). ANL Neg. No. 113-79-100A.
Fig. 2. Test exchanger in no-tubes-in-window configuration (30* triangularpattern, eight-crosspass tube bundle). ANL Neg. No. 113-79-368.
10
Table 1. General features and basic dimensions of test exchanger
Shellside fluid
Tubeside
Shell (Stainless steel), I.D.
Shell, inside length (tubesheetspacing)
Modular shell construction
Nozzles, inlet and outlet
Nozzles at shell midspan
Tube bundle
Tubesheets
Tie bolts
Tie bars
Water
No fluid, open tubes, ready insertionof instrumentation
0.59 m (23.25 in.)
3.58 m (140.75 in.)
Flexibility to change nozzleorientation
Insertion of piping to reduce insidediameter permits providing threenominal sizes/inside diameters
14-in. size/337 mm (13.25 in.) I.D.12-in. size/288 mm (11.328 in.) I.D.10-in. size/241 mm (9.500 in.) I.D.
Observation ports or alternate flowrot*te (e.g., direct crossf low)
Removable unit, ready assembly/disassembly
One stationary, one floating; specialdouble tubesheet construction to con-tain 0-rings to seal tubes
Stainless steel rods in tube locationsSecure and space tubesheets on bothends of heat exchangerCompress double tubesheets on eachend to seal 0-ringsSame O.D. as tubes
Secure and space baffle plates, smallerO.D. than tubes
11
Table 2. Tube and tube bundle data
Tube, plain (Admiralty brass)0.D.Wall thickness
Tube, finned (Admiralty brass), 19 fins/in.o. D.I.D., unfinned plain tube at end or landRoot diameter, finned sectionI.D., finned sectionsEquivalent "squashed" diameter, finnedsection
Tube layout pattern30 triangular
90 square
Pitch-to-diameter ratio
Number of crosspasses
Number of tubes (not counting 11 tiebolts and 8 tie bars)
30 triangular layout
90 square layout
Baffle spacing
Baffle (brass) thickness
Tube/Baffle hole clearance
Cut of single segmental baffles30 triangular layout
90 square layout
19.1 m (0.750 in.)1.2 m (0.049 in.)
19.1 - (0.750 in.)15.7 mm (0.620 in.)15.9 m (0.625 in.)13.8 - (0.541 in.)
16.9 m (0.666 in.) est.
One side of equilateraltriangle normal to flow
Sides parallel and normalto flow
1.25
8 (i.e., 7 baffles)6 (i.e., 5 baffles)
488, full tube bundle326, NTIW, 8 crosspass286, NTIW, 6 crosspass
410, full tube bundle276, NTIW, 8 croespass238, NTIW, 6 crosapass
448 - (17.6 in.) approx.,8 crosspass
597 - (23.5 in.) approx.,6 crosspass
9.5 - (0.375 in.)
0.4 - (0.016 in.) uiniim
25.52,28.92,
15.51,29.6,
8 crosspass6 crosspass
8 crosspass6 crosspass
12
3.58 m (140.75 in.) TUBE LENGTH INSIDE SHELL
BAFFLE .-
SPACING(TYP)
OBSERVATIONPOR T ( T YP )
A
I
4 SPAN TUBE
B 8 SPAN TUBE
F-r - I- f tI
U ___ WE I -I = U = II - ~lI~
I
iF ~T1F'T'U ~ l I Ed I 1
- Y- -
I
'II
OUTLET
")
)
I_________ p U
INLET A5 SPAN TUBE
0.59 m ( 23.25 in.) SHELL TUBES -NSIDE DIAMETER TOP VIEW 3 BAFFLE SUPPORTS
TUBES- 4 EQUAL SPANS7 BAFFLE SUPPORTS
- - - 8 EQUAL SPANS-
BAFFLE CUT ("WINDOW
* 0.255 DIAMETER (TYP.
TUBES-4 BAFFLE SUPPORTS5 SPANS ( 3 EA. 0.250 VIEW AA VIEW 66AND 2 EA. 0.125 TUBELENGTH)
Fig. 3. Test heat exchanger, eight-crosspass configuration
3.58 m (140.75 In.) TUBE LENGTH INSIDE SHELL -)
BAFFLE -SPACING
(TYP.)
OBSERVE TIONPOT ( TYP.)
' B
3 SPAN TUBE
6 SPAN TUBEAmI
II -- 1 11 / /I II
11--I,
I U~1 -~~I
7
I II \ "
INLET
7 | N '/ in
A B4 SPAN TUBE
II I
~4Z|I.1Ii
OUTLET
-0.59. (23.25s1.) SHELL TOP VIEW TUBES-INSIDE DIAMETER P 2 BAFFLE SUPPORTS
TUBE S- 3 EQUAL SPANS5 BAFFLE SUPPOR TS6 EQUAL SPANS
BAFFLE CUT WINDOWSN)o' 0.296 DIAMETER (TYP.)
TUBES-3 BAFFLE SUPPORTS VIEW AA VIEW BE4 SPANS (2 EA.0.167AND 2 E A. O.333 TUBELENGTH I
Fig. 4. Test heat exchanger, six-crosspass configuration
(I
-C
h
I
.
13
900 layout. Following industrial practice, the baffle cut was increased for
the six-crosspass configurations resulting in saddle support for the tubes
in H and T for the 30* and G and Q for the 90 patterns, respectively.
Table 3 presents a listing and a brief description of all configura-
tions tested. Table 4 presents a matrix of the test program. It is seen
that in addition to the full bundle tests, various design and field fixes to
avoid or remedy vibration problems were applied; many of the associated tube
layout patterns are shown on Figs. 7 and 8. The no-tubes-in-window (NTIW)
configurations comprise a design fix obtained by removing all tubes in the
baffle window. Since these tubes include those most susceptible to vibra-
tion, the WTIW bundles contain only the remaining well supported central
tubes. Naturally, the removal of the tubes alters the heat transfer/pressure
drop relationship. For the subject tests, the window areas of the baffles
were fitted with metal plates to cover the unused baffle holes. The unused
tubesheet holes were plugged and sealed. The passlane test configurations
were obtained by removal of the tubes indicated; since these simulate field
fixes the unused baffle holes were not covered. The Case 24 FIVER (acronym
for Flow-Induced Vibration Evasion Restraint) design fix conceived by HTRI
involves the installation of auxiliary baffle plates that resulted in much
improved vibration performance.
Additional information as well as the vibration testing is presented in
the references indicated: Cases 1 to 5 [4], Cases 6 to 15 [5], and Cases 16
to 26 [6].
III. FLOW TEST RESULTS
Shellside pressure drop measurements were taken for all configurations
tested with room temperature water as the shellside fluid. Figure 9 shows
schematics of the location of the pressure taps for the eight- and six-
crosspass configurations. The overall inlet to outlet pressure drop was
measured between the taps designated A and I by means of a differential
pressure transducer.
A. Overall Pressure Drop
When the overall pressure drop (A-I) is plotted as a function of
flowrate on log-log paper, the data can be correlated with a straight line,
as shown, for example, in Fig. 10 for Cases 4 and 25. This implies that theoverall pressure drop can be correlated by a power function relationship of
the general form
Ap - YQa (1)
where y and a are constants for a particular tube bundle configuration.
14
* TIE BOLT (II LOCATIONS)* TIE BAR (8 LOCATIONS)
0 E00[ LYO O
8FFL, .0 F08000@T80L :0F
080080 JyOu nd ,
__ o8 o8 o ® o 8 8
BAFFLE (N. It ,,AND 7) FAR WINDOW
NEAR WIDWBAFFLE (NO. 2,4 AND 6)
EIGHT- CROSSPASS TUBE BUNDLE: 7 BAFFLESFig. 5. Tube layout and identification, 300 triangular pattern
15
0 TIE BOLT (II LOCATIONS)
. TIE BAR (8 LOCATIONS)
F G H I J K L M N O p
E *0000 RST
B 0 0OO00000 0
A 00 00000®0000o 00 w
000 00000@00000 00000 0000000000 000
0800 0.000000000 000oo~oo 00ooo@OOOO ~OOO
00000 0000000000 000000000 8o8OOOOo 0008800000 00080
F000 0000 @0 000 000000008000: o008 0000 00000
00000 OOOOOGOOOOO 00000000000 0 o0008 000000 0080oo 0000000000 ooo
[email protected] 000.-INLET O OQOOOO00@00 000NOZZLE
00 0000000000 000 00000®00000 0
00000000000. 000000 .
FA RBAFFLE (NQ 1, 3,5 8 7) - BAFFLE-
WINDOW
BAFFLE ~ -BAFFLE (No 2, 4, B 6)WINDOW
EIGHT-CROSSPASS TUBE BUNDLE :7 BAFFLES
Fig. 6. Tube layout and identification, 90* square pattern
16
1 q o
. 0 O UO , " cOc o Cepk.
O~D ~
IC
(a) CASE I
U C 2 (a ) C ASE S 2
"> o . N 0
. 0 N~a 00~ .
o> o o
(d ) CASES 10 NO1
Fig. 7. Schematic representations of field fixes and NTIW configuration:(a) Case 8, (b) Case 10, (c) Case 12, (d) Cases 13 and 14
17
F i J K L M N 0 , O
S 08888488888 u
" 0000@®00000O
.880000.00 .
0888>38888888 88888f~ow o08o8888
-. 800O8888 .-
Z8888 8888888888 e88
00000000000. 880.0o8 .
(") CASE 1S
, G N I J K L M N 0O R
.. OZ 880O o88
888 8888rL05 8888
NOZL 8888*
.88880o
(C) CASES 23 AND 26
, G N L M N 0O
E888 0 0000 88 888.. O 58 0 1 8 088 888
8 00088888oo
0 000 00000 0000.080 8888888 8888QZ 8 0 888 88 ggQoc 0 8®08 o8 88
IN.E g ooo 8 oo008 8008.
888828888 880.8880000 .
(b) CASE 21
G Ntj K L M N 0
-
0ooo0.oo -" S 88888 o "' o888 8888003)88008 880 w
.888 0000 888888 000000 88 88 888 8 8558 8rL08 'S88 80 888888 8(0)88* oo 8 8888
88 8888 00 8880O 8 888
Mt[, . *88 0 .
(d) CASE 22
Fig. 8. Schematic representation of 'TrIW configurations and field fixes:(a) Case 18, (b) Case 21, (c) Cases 23 and 26, (d) Case 22
18
Table 3. Si'nmary of test cases
NominalNo. of inlet/outlet Tube
Case Cross- nozzle LayoutNo. passes size (in.) Pattern Tube Bundle Configuration
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
Full bundle
Full bundle
Full bundle
NTIW bundle
NTIW bundle
Full bundle
Full bundle
Row U removed (Fig. 7a)
Row U replaced with stainlesssteel tubes
Field fix: passlane in farwindow region (Fig. 7b)*
Full bundle (rerun of Case 7)
Field fix: passlane in bathwindow regions (Fig. 7c)
8
8
8
8
8
6
6
6
6
6
6
6
6
6
6
8
8
8
6
6
6
6
14
12
10
10
14
14
10
10
10
10
10
10
10
10
10
10
14
14
14
10
10
10
30
300
30*
30*
30
300
300
30
300
30*
300
30
30
30
30*
900
90*
90
900
90
900
900
NTIW bundle
NTIW bundle;(Fig. 7d)
Full bundle;
Full bundle
Full bundle
NTIW bundle
Full bundle
Full bundle
(Fig. 7d)
finned tubes
finned tubes
(Fig. 8a)
Field fix: pass lane in farwindow region (Fig. 8b)*
Field fix: pass lane in bothwindow regions (Fig. 8d)
19
Table 3. Summary of test cases (Contd.)
NominalNo. of inlet/outlet Tube
Case Cross- nozzle LayoutNo. passes size (in.) Pattern Tube Bundle Configuration
10
10
10
10
90
90
90
90
NTIW bundle (Fig. 8c)
Design fix: FIVER; auxiliarybaffles in flow turn-aroundregions
Full bundle; finned tubes
NTIW bundle; finned tubes(Fig. 8c)
Passlane(s) created by removal of the following tubes:Case 10: 11 tubes, in rows U through AA, Nos. 23 and 25 or 24, as
applicableCase 12: 22 tubes, in rows A through G and U through AA, Nos. 23 and 25
or 24, as applicableCase 21: 6 tubes, R-12 through W-12Case 22: 12 tubes, A-12 through F-12 and R-12 through W-12
23
24
25
26
6
6
6
6
Table 4. Matrix of flow tests
Identification by Case Number
Crosspasses:
Tube Type:
Tube Bundle:
Feature:
8
Plain
Full
8
Plain
NTIW
6
Plain
Full
6
Plain
NTIW
NozzleSizein.
6
Plain
Fix
Pass-lane(s)
6
Plain
Fix
Special
6 6
Finned Finned
Full NTIW
30' Triangular
90 Square
101214
1014
3 4 7,11 13 10,12 8,921
1617
5
15 14
6
2018 19
23 21,22 24 25 26
0
21
BC
INLET
v-f
E
GH
IIF
OUTLET
(a) EIGHT CROSSPASS CONFIGURATION
TOP VIEWS
E
_ 1 1 1
iI I
H
OUTLET
G
I
F
(b) SIX CROSSPASS CONFIGURATION
Taps - A.E.and I: on bottom of nozzles
B,CD,F,G,and H: on shell In horizontal plane of flow
Fig. 9. Locati'an of pressure taps on shell (a) 8-crosspass configuration,(b) 6--crosspass configuration
D
B C
INLETt
D
AM
AML
T---qqpp-
,w w
22
- 20a0
W~i 10',
acN/
-J /
I- d
2 0 CASE 4, ALPHA=:I9780 CASE 25 ALPHA:2.03
-J
S00 1000 2000 4000FLOWRATE ,gol/mIn
Fig. 10. Overall pressure drop versus flowrate: Cases 4 and 25
23
For this report the above equation will be expressed as
sp(lb/in.2) y(lb/in.2) (Q(gal/min)) (2)
which, taking logarithms on boLh sides becomes
in Ap(lb/in.2) - In y(lb/in.2) + a in { Q(gai/min) }. (3)
For the pressure drop data obtained from each of the various test configura-
tions, Eq. (3) was employed to determine the constants y and a by means of
linear regression analysis. Table 5 indicates the range of flowrates from
which the data were taken and summarizes the results of the linear regres-
sion analysis computations, listing, in addition to the constants y and a,
th' overall pressure drops at 0.063 m3 /s (100u gal/min) and 0.126 m3 /s (2000
gal/min). Figure 10 shows the pressure drop curves for the cases with the
smallest and largest a values encountered.
B. Pressure Distribution
The pressure distribution through various sections of the test
exchanger was determined by taking pressure drop measurements between taps B
through H and the outlet tap I of the exchanger with the differential pres-
sure transducer (Fig. 9). The connections were made by switching with a
valve system. In a very few high pressure cases, the central tap E was used
as a "common" base and the pressures to the outlet tap I determined by
simple addition or subtraction.
Table 6 presents the normalized fractional distribution for each test
configuration tested to date. The overall pressure drop was set equal to
unity and the fractional drops (remaining to the outlet tap) were calculated
for each flowrate tested and then averaged to obtain the results given in
Table 6. As indicated on Fig. 9, taps C, D, E (center), F, and G are
located in different positions for the eight and six-crosspass configura-
tions. Figures 11 through 14 present the fractional pressure distribution
of the four different tube layout/baffle configurations in graphical form,
with the tap locations B through H plotted approximately scaled according to
their axial location.
IV. ANALYSIS AND INTERPRETATION OF RESULTS
A. Comparison of Overall Pressure Drops
At the same flowrate the overall pressure drop varied as expected for
any of the pairs of comparative test cases listed on Table 7: it was always
24
Table 5. Overall pressure drop versus flowrate
AP- y(Q/1 0 0 0)Q with U.S. units indicated
Overall pressureRange of flowrates drop Ap at
Q used to 1000 gpm 2000 gpmConfiguration determine a and y Exponent Y
Case Code** gal/min a lb/in.2 lb/in.2
8.14.308.12.308.10.30
8.10.30-N8.14.30"N
6.14.306.10.30
69109309X6.10.30-X6.10.30-X6.10.30"X6.10.30"N6.10-30-NF6.10.30"F8.10.908.14.90
8.14.90-N69149906.10.90
6.10.90-X
6"10"90"X6.10.90"N6 .10.90-X6.10.90"F6-10 90-NF
6 in. pipe12 in. pipe
770-31901030-3190
800-30001175-39801580-50101060-21901160-32901100-28001600-2200900-3000600-3000
1620-41501000-6250600-2600
1000-34001000-26001010-3980800-3000
1230-2790600-2600
1190-3200590-3990890-2830
1020-3220790-5270
1000-20001000-2000
1.931.92
1.911.781.791.871.831.851.931.91
1.91
1.80
1.901.92
1.931.931.891.87
1.951.861.931.851.922.031.951.94
1.90
5.435. 51
6.01
3.112.933.38
3.993.08
3.813.34
2.351.48
1.334.044.624.19
2.61
2.532.772.752.161.33
3.002.38
1.00
2.68
0.09
20.720.9
22.610.7
10.112.414.2
11.114.512.5
8.81
5.164.99
15.317.6
16.09.529.25
10.710.0
8.254.78
11.49.71
3.8810.30.34
*Examples, 30.48 m (100 ft) of U. S. Schedule 40 pipe [7]
**Refer to nomenclature
tUse of Case 2 data requires qualifying explanation.
tt1 gal/sin (gpa) - 6.309 x 10- 5 *3/s1 lb/in.2 - 6.895 kPa
1
2t3456789
10121314151617181920212223242526
*
Table 6. Pressure drop distribution
Listed is the fraction of the pressure drop between the tap indicated and the outlet tap to the overall
inlet/outlet pressure drop.Listed underneath is the fractional pressure drop between taps.Note that, as explained in the text, the location of taps C through G is different for the
eight- and six-crosspass configurations; see Fig. 9.
Config1:-ration
Code
8.14.30
8.10.30
8-10.30"N
8.14.30"N
6.14.30
6.10.30
6.10.30-X
6.10.30-X
Tai
A
1
1
1
1
1
1
1
1
P
0.094
0.118
0.077
0.086
0.129
0.146
0.188
0.124
B
0.906
0.882
0.923
0.914
0.871
0.854
0.812
0.876
0.037
0.036
0.024
0.024
0.61
0.058
0.046
0.070
C
0.869
0.846
0.899
0.890
0.810
0.796
0.766
0.806
0.140
0.132
0.131
0.149
0.171
0.144
0.124
0.140
D
0.729
0.714
0.768
0.746
0.639
0.652
0.642
0.666
0.211
0.204
0.220
0.229
0.134
0.110
0.090
0.115
E
0.518
0.510
0.548
0.517
0.505
0.542
0.552
0.551
0.229
0.215
0.231
0.243
0.144
0.116
0.092
0.113
F
0.289
0.295
0.317
0.274
0.361
0.426
0.460
0.438
0.109
0.104
0.108
0.119
0.147
0.125
0.097
0.123
G
0.1800.013
0.1910.010
0.209-0.004
0.155-0.004
0.214-0.005
0.301-0.008
0.363-0.013
0.3150.007
Case
1
3
4
5
6
7
8
9
LAi
H
0.167
0.181
0.213
0.159
0.219
0.309
0.376
0.308
Table 6. Pressure drop distribution (Contd.)
Conffigu-ration Tap
Case Code A B C D E F G H
6.10.30"X
6-10-30-X
6.10.30-N
6.10.30-FN
6-10-30-F
8.10.90
8.14.90
8.14.90"N
6.14.90
6.10.90
1
1
1
1
1
1
1
1
1
1
10
12
13
14
15
16
17
18
19
20
0.812
0.855
0.904
0.930
0.880
0.873
0.891
0.904
0.881
0.840
0.052
0.066
0.040
0.050
0.060
0.027
0.027
0.027
0.060
0.050
0.766
0.789
0.864
0.880
0.820
0.846
0.864
0.877
0.821
0.790
0.130
0.128
0.165
0.180
0.160
0.103
0.116
0.130
0.157
0.120
0.642
0.661
0.699
0.700
0.660
0.743
0.748
0.747
0.664
0.670
0.094
0.107
0.116
0.130
0.120
0.180
0.194
0.218
0.125
0.110
0.552
0.554
0.583
0.570
0.540
0.563
0.554
0.529
0.539
0.560
0.100
0.09
0.143
0.130
0.120
0.222
0.242
0.254
0.138
0.110
0.460
0.455
0.440
0.440
0.420
0.341
0.312
0.275
0.401
0.450
0.106
0.101
0.144
0.160
0.130
0.098
0.110
0.122
0.151
0.130
0.363-0.015
0.354-0.002
0.296-0.019
0.280-0.020
0.2900.030
0.2430.004
0.2020.007
0.153-0.002
0.250-0.0')7
0.320-0.010
0.180
0.145
0.096
0.070
0.120
0.127
0.109
0.096
0.119
0.160
N%
0.376
0.356
0.315
0.300
0.260
0.239
0.195
0.155
0.257
0.330
Table 6. Pressure drop distribution (Contd.)
Conf igu-ration
Code
6.10.90"X
6-10-90-X
6.10.90-"N
6.10.90-X
69109909F
6.10.90-FN
Tap
A
1
I
1
1
1
1
0.180
0.142
0.086
0.156
0.120
0.050
B
0.820
0.858
0.914
0.844
0.880
0.950
0.040
0.049
0.032
0.059
0.056
C.057
C
0.780
0.809
0.882
0.785
0.824
0.893
0.120
0.133
0.171
0.128
0.159
0.175
D
0.660
0.676
0.711
0.657
0.665
0.718
0.100
0.108
0.128
0.109
0.117
0.130
E
0.560
0.568
0.583
0.548
0.548
0.588
0.100
0.110
0.138
=0.126
0.133
0.145
F
0.460
0.458
0.445
0.422
0.415
0.443
0.120
0.123
0.157
0.131
0.144
0.162
G
0.340-0.010
0.335-0.010
0.288-0.014
0.2910.001
0.2710.016
0.281-0.034
Case
21
22
23
24
25
26
H
0.350
0.345
0.302
0.290
0.255
0.315
N~
m
)
4 511_1.( V
TAP
Fig. 11. Fractional distribution of pressure drop averaged and normalized to overallpressure drop (30 tube layout, 8-crosspass configurations)
CASE1 3
A A
B BC C
D D
E
F
GH
0.8
0.0
a
a
z0
0
N-J
0Z
0.6 f
0.4
0.2
0
.lmr-AL1
Fl- _ _ _ r
E
HF
G
H
0o0 1\I
10 12 13 14 15
1.0
CASE
6 7 8
A A
B B
C C
D D
E
E
F
FG
S H H
TAP
Fig. 12. Fractional distribution of pressure drop averaged and normalized to overall
pressure drop (300 tube layout, 6-crosspass configurations)
S.0O
W 0.8
0
0
V
.4
0
2 0.40
z
0
N0
CASE16 17 18
1.0 AAA A
BBC B C
C
0.8D D
W
00
0.6 EE
Z 0
0
0.4 F
W F
2 G H& 0.2-O
G H
0TAP
Fig. 13. Fractional distribution of pressure drop averaged and normalized to overall
pressure drop (90 tube layout, 8-crosspass configurations)
CASE
10 20 21 22 23 24 25 26
1.0A A B
B C
O, C
0 0.".-aD
DD
EEEE~0.6 E -
0FF
o FQ0.4ION
H
g0.2 G H
0
0II
TAP
Fig. 14. Fractional distribution of pressure drop averaged and normalized to overall
pressure drop (900 tube layout, 6-crosspass configurations)
Table 7. Comparison of pairs of corresponding test cases
DifferentParameters
Full/NTIWbundle
30*/900layout
10/14 in.Nozzles
Common 8914930
Cases
Ya
Coimon
Cases
Ya
Coon
Cases
Y4
1/5
5.43/2.931.93/1.79
8.14
1/17
5.43/4.191.93/1.93
8.30
3/1
6.01/5.431.91/1.93
8010030
3/4
6.01/3.111.91/1.78
8010
3/16
6.01/4.621.91/1.93
8.300N
4/5
3.11/2.931.78/1.79
6.10.30
7/13
3.99/1.481.83/1.80
8.14"N
5/18
2.93/2.611.79/1.89
6.30
7/6
3.99/3.381.83/1.87
8.14.90
17/18
4.19/2.61
1.93/1.89
6.14
6/19
3.38/2.531.87/1.87
8.90
16/17
4.62/4.191.93/1.93
6.10.90 6.10.30-F 6e10-90-F
20/23
2.77/1.33
1.95/1.85
6010
7/20
3.99/2.771.83/1.95
15/14
4.04/1.331.92/1.90
6-10"N
13/23
1.48/1.331.80/1.85
25/26
2.38/1.002.03/1.95
6.10"F
15/25
4.04/2.381.92/2.03
6.10"-FN
14/26
1.33/1.001.90/1.95
6090
20/19
2.77/2.531.95/1.87
woN
mmllm
Table 7. Comparison of pairs of corresponding test cases (Contd.)
DifferentParameters
8/6crosspasses
Coon 14.30
Cases
Ya
1/6
5.43/3.381.93/1.87
10.30
3/7
6.01/3.991.91/1.83
10.30"N
4/13
3.11/1.481.78/1.80
10.90
16/20
4.62/2.771.93/1.95
14.90
17/19
4.19/2.531.93/1.87
Corson 6-10.30 6.10.30"N 6.10-90 6.10-90"N
Plain/finned Casestubes
Ya
7/15
3.99/4.041.83/1.92
13/14
1.48/1.331.80/1.90
20/25
2.77/2.381.95/2.03
23/26
1.33/1.001.85/1.95
Legend: Comon: Configuration code of common parameters; refer to nomenclature
y : Overall pressure drop at 1000 gal/min flowrate in lb/in.2 (1 lb/in.2 - 6.895 kPa)
a : Exponential variation of pressure drop as a function of flowrate
1
34
higher for the 10 inch nozzles than for 14 inch nozzle, higher for 8 than
for 6 crosspasses, and higher for the 30 than the 90 tube pattern layout.
A comparison of plain to finned tubes must take into consideration both
increases in flow area and increase in surface roughness with opposite
effects on the pressure drop. The effects are mixed. For the 90 patterns
the pressure drops of plain tube bundles are higher than for finned tubes,
for 30* patterns they were about the same.
Comparing the one and two passlane field fix data it is seen that the
open lanes together with the open baffle holes result in a significantly
reduced overall pressure drop for the finned tubes. It can also be observed
that the FIVER gives rise to a relatively small increase of pressure drop
when compared to the corresponding full bundle test of Case 20.
To provide a perspective value for the flow regimes, an estimate of the
Reynolds' number for the full tube bundle has been computed based on the
available flow area in the central plane of the test exchanger normal to the
flow, assuming no leakage, and using the tube diameter as the characteristic
dimension. On that simplified basis the Reynolds' numbers at the 0.126 m3/s
(2000 gal/min) flowrate for the 30 triangular tube layout pattern are
approximately 42,000 and 31,000 for the 8- and 6-crosspass configurations,
respectively; for the 90* square pattern the corresponding values are 36,000
and 27,000.
B. Comparison of Exponential Variation of Pressure Drop versus Flowrate
Function
To facilitate the following discussion pertaining to the exponent a
(Eq. 1), two examples for commercial water pipe, taken from an industrial
catalog [71, have been included on Table 5. The commercial pipe examples
indicate that (a) because the friction factor decreases with flowrate, the
exponent is less than 2, and (b) because the rate of decrease of the
friction factor is smaller for higher Reynolds' numbers, the exponent for
the smaller pipe, with larger flow velocities, is larger than for the bigger
pipe. Examination of customary friction factor versus Reynolds' number
graphs (Stanton's diagram) shows that the rate of decrease of the friction
factor decreases with Reynolds' number as surface roughness increases, thus
flow through a rougher pipe will be characterized not only by a higher
pressure drop but also by a higher exponent.
Since for commercial pipe the exponent a actually increases slightly
with flowrate, this might be true for the test exchanger configurations too
but was not determinable from the experimental data. The exponents in Table
5 were calculated in a consistent manner for all test cases and the two
examples on the basis of being constant at all flowrates. At times, data
from test runs at low flowrates and thus low pressure levels were considered
35
questionable and not utilized. And even though the determination of the
exponent a is subject to experimental errors and inaccuracies, examination
of the data indicate some very interesting trends. The following will
discuss the effect of the various configurations on the pressure drop
exponent, a; the comparative pairs cf tests are listed on Table 7:
1. Full tube bundle versus no-tubes-in-window configurations
The no-tubes-in-window (NTIW) configurations have window areas
void of tubes which allow the flow to slow down to a lowered velocity for a
substantial part of its path through the heat exchanger. Therefore it is
not surprising to note that all NTIW bundles res'Ated in a lower exponent
than the corresponding full bundle.
2. 30 triangular and 90 square
Comparison shows that the exponent was equal or larger for the 90
than for the 30 tube layout patterns. There appear to be opposing tenden-
cies at work. On one hand, the 30 pattern tends to result in higher flow
velocities in the window regions than the 90' pattern because the 30 bundle
contains more tubes and is more tightly packed than the 90 bundle. This
tends to increase the exponent. Also, because of the arduous flow path
through the bundle, there is probably some increase of the effective rough-
ness, tending to slightly increase the exponent. On the other hand, because
the 30' pattern operates at higher pressure drop levels, the leakage bypass
fractions past the baffle and around the baffles are higher, reducing the
flow through the bundle - this is what the HTRI computer generated data
indicate and appears reasonable. Therefore, the 90' pattern has a higher
fraction of the flow passing through the bundle, and, for the same flowrate,
a somewhat higher velocity tending towards a larger exponent. It appears
from the test data that for the 14 inch nozzle, full tube bundle configura-
tion with fractionally very small nozzle losses, the above trends balanced
and the exponents (with some experimental coincidence) were equal. On the
other hand, for the 10 inch nozzle, and the 6 crosspass bundles with
relatively larger nozzle losses, the effect of these nozzle losses incurred
by high entrance velocities appears to be dominant and increased the
exponent. It could be speculated that proportionally increased internal
window reentrance and reexit losses cause a similar effect in the NTIW
bundles.
3. 10 versus 14 inch size nozzles
It was found that the exponent a is higher for the 14 inch than
for the 10 inch nozzles for the 30' triangular pattern configurations, with
the opposite trend for the 90' square configuration. As a consequence the
percentage nozzle losses were calculated to decrease with flow for the 30'pattern and to be about the same or to increase with flow for the 90
pattern as will be discussed in Section D.l.
36
4. Eight versus six crosspass
With closer baffle spacing producing higher flow velocities, the
eight-crosspass configurations can be expected to have higher exponents than
the comparative six crosspass configurations. This was found experimentally
with the exception of two pairs of test cases where nozzle loss effects may
have dominated. These are the low pressure level 30 pattern NTIW tests and
the 90* pattern full bundle tests, all with 10 inch nozzles.
5. Plain versus finned tubes
For all test cases the exponent was higher for the finned tubes
than for the plain tubes, even though the finned bundle has, at least in the
crossflow regions, larger gaps, and lower velocities. Apparently the addi-
tional roughness dominates to increase the exponent.
C. Pressure Distribution
With regard to the distribution of pressure drop through the various
sections of the exchanger, it appears that the pressure drop measurements
are affected by the flow velocity at the measurement location. The small or
sometimes negative difference between taps G and H suggests that the
velocity of the flow passing tap G at the window is larger than at tap H
which is somewhat bypassed by the main flow, thus the pressure at taps H
appears to recover to offset any losses between taps G and H. The same
phenomenon working in the opposite direction apparently exaggerates the
measured pressure drops between taps B and C. There is apparently also some
effect on the central tap E, which is in a sheltered location on the
observation port, not directly on the internal shell wall. It is noted that
the measured tap F. to F is usually larger than the drop D to E for almost
all tests, this probably indicates some pressure recovery at tap E.
D. Nozzle Losses
1. Total nozzle losses
A method was devised in an attempt to calculate the total, i.e.,
combined, inlet and outlet nozzle loss. Perhaps entrance and exit would be
more accurate terms than inlet and outlet nozzle, because the inlet and
outlet flow effects probably extend well beyond the immediate nozzle region
to some extent into the tube bundle. The computation method requires data
from pairs of comparative test cases performed with both 10 and 14 inch
nozzles. The results obtained from five available pairs (Table 7) are
listed on Tables 8 and 9.
The method assumes that the overall pressure drop can be expressed
as the sus of two components: the nozzle region losses &pn and the losses
Apk in the remaining "core" region of the heat exchanger structure. It isthen assumed that the total inlet/outlet nozzle (i.e., entrance/exit region)
37
losses &Pn vary with the square of the (identical) inlet and outlet veloci-
ties. Based on the 1.945 area ratio of the 14 to 10 inch nozzles, the
nozzles losses for the 10 inch nozzles are taken to be a 3.784 multiple of
the 14 inch nozzle losses. The remaining core region losses Apk are assumed
to be independent of nozzle size and constant for any particular flowrate.
Mathematically, using the nozzle sizes 10 and 14 as subscripts one obtains
A1- APn10 + Apkl0
and (4)
AP14 - APn14 + Apkl4
where Ap's are test data, APnlO - 3.784 APn14, and Apkl0 - APkl4. The
results of the easily obtained solutions are tabulated on Table 8 and the
left side of Table 9 for 0.063 and 0.126 m3/s (1000 and 2000 gal/min)flowrates, respectively.
At the higher flowrate the percentage nozzle losses are found to
be higher for comparable six versus eight crosspasses, and 900 versus 30
pattern configurations, apparently because the nozzle losses become
relatively more evident when the losses in the remainder of the exchanger
are low. At the lower flowrate, however, the 30* pattern indicates the
higher percentage nozzle loss. The relationship between the 0.063 and 0.126
m3/s (1000 and 2000 gal/min) flowrate data is influenced by the flowrate
exponent discussed previously. The results on Table 8 and the left side of
Table 9 indicate that at the higher flowrate the percentage total nozzle
loss decreases for the 30*, and is approximately equal or increases for the
90', configurations. While this cannot be explained at this time, it is
interesting to note that the corresponding computer generated HTRI data
indicate the same trends.
2. Separate inlet and outlet nozzle losses
The general method used to compute the total nozzle loss was also
applied to estimate the proportion of that loss occurring in the entrance
and exit regions. Essentially two parallel calculations were made for the
flow regions upstream and downstream of the central tap E.
The calculations require the fraction r of the pressure drop
between the central tap E and the outlet to the overall inlet/outlet
pressure drop. The r value for each test case is listed under tap E in
Table 6. Thus the pressure drop from the inlet tap A to tap E is (1-r)Ap
and from tap E to the outlet is rAp. The dynamic pressure due to the inletand outlet velocities V in the nozzles is considered, any velocity at tap E
is assumed to have a negligible effect. For the inlet region upstream of
Table 8. Combined inlet/outlet nozzle region pressure drop lossesat 0.063 m3/s (1000 gal/min) flowrate
Overallpressure "Core" Nozzle Percentdrop loss loss nozzle
Configuration p Apk Apn lossCase Code lb/in.2 lb/in.2 lb/in.2
1 8.14.30 5.43 5.22 0.208 3.83
3 8.10-30 6.01 5.22 0.787 13.1
6 6914.30 3.38 3.16 0.219 6.48
7 610.30 3.99 3.16 0.829 20.8
17 8-14.90 4.19 4.04 0.154 3.68
16 8.10.90 4.62 4.04 0.583 12.6
19 6.14.90 2.53 2.44 0.0862 3.41
20 6.10.90 2.77 2.44 0.326 11.8
5 8.14.30"N 2.93 2.87 0.0647 2.21
4 8.10.30-N 3.11 2.87 0.245 7.87
Ap is also y for this flowrate.1 lb/in. 2 - 895 kPa
Table 9. Inlet and outlet nozzle region pressure drop losses at 0.126 m3/s (2000 gal/min) flowrate
Combined inlet/outlet pressure drops Regional pressure drop loss, lb/in.2
Overallpressed "Core" Nozzle Percent Core Nozzle
drop loss loss nozzle
Configuration Ap Apk Apn lossCase Code lb/in.2 lb/in.2 lb/in.2 % Inlet Outlet Inlet Outlet
1 8-14.30 20.7 20.0 0.682 3.30 9.61 10.4 0.539 0.144
3 810-30 22.6 20.0 2.58 11.4 9.61 10.4 2.04 0.545
6 6.14.30 12.4 11.8 0.647 5.22 6.02 5.74 0.273 0.374
7 6.10.30 14.2 11.8 2.45 17.3 6.02 5.74 1.03 1.42
17 8.14.90 16.0 15.4 0.575 3.59 6.95 8.48 0.342 0.233
16 8.10.90 17.6 15.4 2.18 12.4 6.95 8.48 1.29 0.882
19 6.14.90 9.25 8.73 0.521 5.63 4.11 4.62 0.305 0.216
20 6910-90 10.7 8.73 1.97 18.4 4.11 4.6- 1.15 0.817
5 8.14.30"N 10.1 9.88 0.216 2.14 4.90 4.98 0.129 0.0862
4 8.10.30"N 10.7 9.88 0.817 7.64 4.90 4.98 0.488 0.326
Upstream and downstream
Test data
1 lb/in. 2 - 6.895 kPa
of tap E, respectively.
LA)~0
40
tap E, using the nozzle sizes 10 and 14 as subscripts for any pair of
comparative test cases:
(1 - r1 0)Ap1 0 + (pV 0)/2 - APnl0inlet + APklOinlet
and (5)
(1 - r14)Ap14 + (pV 4)/2 - APnl4inlet + APkl4inlet
Similarly, for the outlet region downstream of tap E:
r10Ap10 - APnl0outlet + APkl0outlet + (pV 0)/2
and (6)
r1 4 Ap14 - APnl4outlet + APkl4outlet + (pV1 4)/2 .
Corresponding to Eq. 4, the Ap's are the test data and with the respective
inlet and outlet subscripts, Apn10 - 3.784 Apnl4, and Apkl 0 - Apkl4.Equations 5 and 6 are separately solved for the inlet and outlet regions to
obtain the respective "core" and nozzle region losses. The calculations
were performed for the 0.126 in.3/s (2000 gal/min) flowrate. At that
flowrate the dynamic pressures in the 14 and 10 inch size nozzles are 1.01
and 3.80 kPa (0.146 and 0.551 lb/in.2) respectively.
The computed regional losses are tabulated on the right side of
Table 9. It is seen that the nozzle losses in the inlet region were usually
found to be larger than those in the exit region. Cases 6 and 7 constitute
an exception for which no straightforward explanation can be offered. The
results of these calculations were found to be very sensitive to small
variations of the experimental input data, particularly the fractional
pressure drop at tap E.
The entire method may be questioned a overly simplistic,
nevertheless, at this time it represents a possible attempt within the scope
of a program with the primary mission to investigate tube vibration.
Eventually computer generated flow distribution studies may provide better
insights.
E. Comparison with Recent Handbook Formulas
A comparison is provided between the measured overall pressure drop
data, the HTRI computer generated overall pressure drop data, and pressure
drop data obtained by applying information excerpted from a heat exchanger
handbook [8] prior to its recent publication. The handbook formulas are
41
used to compute the pressure drop as a sum of pressure losses in three
regions, che crossflow regions, the window regions, and the inlet and outlet
end zones. These end zones are the first and last baffle compartments and
do not include the nozzles and the window regions opposite the nozzles. It
is emphasized that the excerpted handbook information that was available at
the time the computations were made provides a pressure drop that does not
include the nozzle losses as such, and consequently does not permit a
perfect comparison with the experimental and HTRI data.
The evaluation of the handbook formulas requires some discretion, for
instance some assumptions have to be made, some values have to be read from
graphs, etc. The summary comparison in Table 10 presents the results of the
handbook calculation, the three components and the sum, the HTRI computer
generated data and the experimental overall pressure drop data at the 0.126
m 3/s (2000 gal/min) flowrate. It is seen that in many instances there is
fairly good agreement.
ACKNOWLEDGMENTS
This work was performed as part of a Heat Exchanger Tube Vibration
Program which is sponsored by the U. S. Department of Energy, Office of
Energy Systems Research, under the Energy Conversio: and Utilization
Technology (ECUT) Program, and represents a U.S. contribution to the
International Energy Agency (IEA) Program of Research and Development on
Energy Conservation in Heat Transfer and Heat Exchangers. The continuing
encouragement and support of W. H. Thielbahr, J. J. Eberhardt, and M. Gunn
of the US/DOE are appreciated.
The assistance of various personnel of Argonne's Components Technology
Division is gratefully acknowledged as well as the diligent efforts of
student-aides E. Zywicz, T. S. Chmelik, and J. K. Roberts.
The authors also thank J. M. Chenoweth and J. Taborek of HTRI for
consultation and cooperation throughout all phases of the test program;
J. Kissel and D. Fijas of American Standard for assistance during design and
fabrication of the test exchanger; and J. G. Withers of Wolverine Tube
Division, UOP, Inc., for his help in providing the finned tubing.
Table 10. Overall pressure drop comparison: Handbook/test/computer
Basis: 0.126 m 3 /s (2000 gal/min) flowrate
Handbook calculated pressure drops, lb/in.2 Overall pressure drop, Ap, lb/il. 2
HTRIcomputer
Configuration Ap c Apw AP Aps programCase Code crossflow window end zones sum Test ST-4, Mod. 5.3
1 8.14.30 3.60 ,4-2 2.74 20.5 20.7 20.54
6 6-14-30 1.23 7.84 1.39 10.5 12.4 11.58
17 8.14.90 2.17 11.0 1.59 14.7 16.0 16.48
19 6.14.90 0.75 5.77 0.86 7.37 9.25 9.05
5 8-14-30-N 3.51 2.99 1.93 8.44 10.1 12.87
13 6.10-30-N 1.29 1.53 0.95 3.77 5.16 6.65
18 8-14-90-N 2.09 2.91 1.15 6.15 9.52 11.68
23 6.10.90-N 0.75 1.41 0.55 2.72 4.78 5.64
15 6-10.30"F 0.92 5.92 0.97 7.81 15.3 -
25 6.10909F 0.56 4.52 0.59 5.67 9.71 9.89
Note: Complete comparison is not possible because available handbook data did not allow inclusion of
nozzle losses. Also note that listed test cases include both 14 in. (where available) and 10 in.
nozzle configurations.1 lb/in.2 - 6.895 kPa.
43
REFERENCES
1. Heat Transfer Research, Inc., Computer Program ST-4.
2. Wambsganss, M. W., Yang, C. I., and Halle, H., "Fluidelastic Insta-bility in Shell and Tube Heat Exchangers - A Framework for a PredictionMethod," ANL Report ANL-83-8 (December 1982).
3. Wambsganss, M. W., Halle, H., and Chenoweth, J. M., "A DOE-SponsoredProgram on Heat Exchanger Tube Vibration," Paper 819300, Proc. 16thIntersociety Energy Conversion Engineering Conf., Vol. 1, pp. 595-599,ASME (1981).
4. Halle, H., and Wambsganss, M. W., "Tube Vibration in Industrial SizeTest Heat Exchanger," ANL Technical Memorandum ANL-CT-80-18 (March1980).
5. Wambsganss, M. W., and Halle, H., "Tube Vibration in Industrial SizeTest Heat Exchanger (300 Triangular Layout - 6-Crosspass Configura-tion)," ANL Technical Memorandum ANL-CT-81-42 (October 1981).
6. Halle, H., and Wambsganss, M. ;., "Tube Vibration in Industrial SizeTest Heat Exchanger (90 Square Layout)," ANL Report ANL-83-10(February 1983).
7. Crane Company, "Valves, Fittings," Catalog No. 60, Chicago, 1960.
8. Heat Exchanger Design Handbook, Vol. 3, Thermal and Hydraulic Design ofHeat Exchangers, Schlu'nder, E. U., Editor-in-Chief, HemispherePublishing Corporation, Washington, DC, 1983.
44
Distribution for ANL-83-9
Internal:
RobertsZenoRosenbergWambsganss (60)HoltzEvansBoersBrunsvoidBumpChenFrance
H. Halle (100)J. A. JendrzejczykW. P. LawrenceT. M. MulcahyP. TurulaM. WeberC. I. YangANL Patent Dept.ANL Contract FileANL Libraries (3)TIS Files (6)
External:
DOE-TIC, for distribution per UC-95f (249)Manager, Chicago Operations Office, DOEDirector, Technology Management Div., DOE-CHD. L. Bray, DOE-CHComponents Technology Division Review Committee:
A. Bishop, U. PittsburghF. W. Buckman, Consumers Power Co.R. Cohen, Purdue U.R. A. Greenkorn, Purdue U.W. M. Jacobi, Westinghouse Electric Corp., PittsburghE. E. Ungar, Bolt Beranek and Newman, Inc.J. Weisman, U. Cincinnati
J. J.
R. S.G. S.M. W.R. E.A. R.B. L.A. R.T. R.S. S.D. M.