In this paper, four basic fins of the plate-fin heat exchangers, rectangular plain fin, strip offset fin, perforated fin, and wavy fin, are modeled and simulated by taking account of fin thickness, thermal entry effect, and end effect. Three-dimensional numerical simulations on the flow and heat transfer in the four fins are investigated and carried out at laminar flow regime. Validity of the modeling technique is verified by comparing computational results with both corresponding experimental data and three empirical correlations from literatures. Global average Colburn factor (j factor) and friction factor (f factor) and their local 1D streamwise-average distributions along the fins are presented by introducing data reduction method. The heat transfer behaviors in both the developing and developed regions are analyzed by examining variations of the local Nusselt number along the flow direction. It is found that the thermal entry length of the four fins might be expressed in the format of Le=c1Rec2PrDh, which has the same form as the one in a circular tube.

1.
Kays
,
W. M.
, and
London
,
A. L.
, 1950, “
Heat Transfer and Flow Friction Characteristics of Some Compact Heat-Exchanger Surfaces, Part I. Test System and Procedure
,”
ASME J. Heat Transfer
,
72
, pp.
1075
1085
. 0022-1481
2.
Kays
,
W. M.
, 1960, “
The Basic Heat Transfer and Flow Friction Characteristics of Six Compact High-Performance Heat Transfer Surfaces
,”
ASME J. Eng. Power
0022-0825,
82
, pp.
27
34
.
3.
Briggs
,
D. C.
, and
London
,
A. L.
, 1961, “
The Heat Transfer and Flow Friction Characteristics of Five Offset Rectangular Duct and Six Plain Triangular Plate-Fin Heat Transfer Surfaces
,”
International Developments in Heat Transfer
,
American Society of Mechanical Engineers
,
New York
, August, pp.
122
134
.
4.
London
,
A. L.
, and
Shah
,
R. K.
, 1968, “
Offset Rectangular Plate-Fin Surfaces-Heat Transfer and Flow Friction Characteristics
,”
ASME J. Eng. Power
0022-0825,
90
, pp.
218
228
.
5.
Waiters
,
F. M.
, 1969, “
Hypersonic Research Engine Project—Phase IIA, Category I Test Report on Fin Heat Transfer and Pressure Drop Testing
,” Data Item No. 63.02,
AiResearch Manufacturing Company
, Document No. AP-69-5348.
6.
Mochizuki
,
S.
, and
Yagi
,
Y.
, 1977, “
Heat Transfer and Friction Characteristics of Strip Fins
,”
Heat Transfer-Jpn. Res.
0096-0802,
6
, pp.
36
59
.
7.
Shah
,
R. K.
,
Kraus
,
A. D.
, and
Metzger
,
D.
, 1990, “
Compact Heat Exchangers
,”
A Festschrift for A.L. London
,
Hemisphere
,
New York
.
8.
Manglik
,
R. M.
, and
Bergles
,
A. E.
, 1990, “
The Thermal-Hydraulic Design of the Rectangular Offset-Strip-Fin Compact Heat Exchanger
,”
Compact Heat Exchangers
,
R. K.
Shah
,
A. D.
Kraus
, and
D.
Metzger
, eds.,
Hemisphere
,
New York
, pp.
123
149
.
9.
Manglik
,
R. M.
, and
Bergles
,
A. E.
, 1995, “
Heat Transfer and Pressure Drop Correlations for the Rectangular Offset-Strip-Fin Compact Heat Exchanger
,”
Exp. Therm. Fluid Sci.
0894-1777,
10
(
2
), pp.
171
180
.
10.
Hu
,
S.
, and
Herold
,
K.
, 1995, “
Prandtl Number Effect on Offset Fin Heat Exchanger Performance: Experimental Results
,”
Int. J. Heat Mass Transfer
,
38
(
6
), pp.
1053
1061
. 0017-9310
11.
Rush
,
T. A.
,
Newell
,
T. A.
, and
Jacobi
,
A. M.
, 1999, “
An Experimental Study of Flow and Heat Transfer in Sinusoidal Wavy Passages
,”
Int. J. Heat Mass Transfer
0017-9310,
42
, pp.
1541
1553
.
12.
Kays
,
W. M.
, and
London
,
A. L.
, 1984,
Compact Heat Exchangers
, 3rd ed.,
McGraw-Hill
,
New York
.
13.
Kays
,
W. M.
, 1972, “
Compact Heat Exchangers
,”
AGARD Lecture Series on Heat Exchangers
No. 57,
NATO
,
Paris
, January, Paper No. AGARD-LS-57-72.
14.
Wieting
,
A. R.
, 1975, “
Empirical Correlations for Heat Transfer and Flow Friction Characteristics of Rectangular Offset-Fin Plate-Fin Heat Exchangers
,”
Trans. ASME, Ser. C: J. Heat Transfer
0022-1481,
97
, pp.
488
490
.
15.
Joshi
,
H. M.
, and
Webb
,
R. L.
, 1987, “
Heat Transfer and Friction in the Offset Trip-Fin Heat Exchanger
,”
Int. J. Heat Mass Transfer
0017-9310,
30
, pp.
69
84
.
16.
Sparrow
,
E. M.
,
Baliga
,
B. R.
, and
Patankar
,
S. V.
, 1977, “
Heat Transfer-and Fluid Flow Analysis of Interrupted Wall Channels With Application to Heat Exchangers
,”
ASME J. Heat Transfer
,
99
, pp.
4
11
. 0022-1481
17.
Patankar
,
S. V.
, and
Prakash
,
C.
, 1981, “
An Analysis of the Effect of Plate Thickness on Laminar Flow and Heat Transfer in Interrupted-Plate Passages
,”
Int. J. Heat Mass Transfer
0017-9310,
24
, pp.
1801
1810
.
18.
Xi
,
G.
,
Hagiwara
,
Y.
,
Suzuki
,
K.
, and
Kaneda
,
T.
, 1992, “
Effect of Fin Thickness on Flow and Heat Transfer Characteristics of Fin Arrays-An Offset-Fin Array in the Low Reynolds Number Range
,”
Heat Transfer-Jpn. Res.
0096-0802,
22
, pp.
1
19
.
19.
Saidi
,
A.
, and
Sundén
,
B.
, 2001, “
A Numerical Investigation of Heat Transfer Enhancement in Offset Strip Fin Heat Exchangers in Self-Sustained Oscillatory Flows
,”
Int. J. Numer. Methods Heat Fluid Flow
,
11
(
7
), pp.
699
716
. 0961-5539
20.
Beale
,
S. B.
, 2007, “
Use of Streamwise Periodic Boundary Conditions for Problems in Heat and Mass Transfer
,”
ASME J. Heat Transfer
0022-1481,
129
, pp.
601
605
.
21.
Wang
,
Q. W.
,
Lin
M.
,
Zeng
M.
, and
Tian
L.
, 2008, “
Investigation of Turbulent Flow and Heat Transfer in Periodic Wavy Channel of Internally Finned Tube With Blocked Core Tube
,”
ASME J. Heat Transfer
0022-1481,
130
, pp.
061801
.
22.
De Losier
,
C. R.
,
Subramanian
,
S.
,
Ponyavin
,
V.
,
Chen
,
Y.
,
Hechanova
,
A. E.
, and
Peterson
,
P. F.
, 2007, “
The Parametric Study of an Innovative Offset Strip-Fin Heat Exchanger
,”
ASME J. Heat Transfer
0022-1481,
129
, pp.
1453
1458
.
23.
Nishimura
,
T.
,
Murakami
,
S.
,
Arakawa
,
S.
, and
Kawamura
,
Y.
, 1990, “
Flow Observation and Mass Transfer Characteristics in Symmetrical Wavy-Walled Channels at Moderate Reynolds Number for Steady Flow
,”
Int. J. Heat Mass Transfer
0017-9310,
33
(
5
), pp.
835
845
.
24.
Asako
,
Y.
, and
Faghri
,
M.
, 1987, “
Finite-Volume Solutions for Laminar Flow and Heat Transfer in a Corrugated Duct
,”
ASME J. Heat Transfer
,
109
(
3
), pp.
627
634
. 0022-1481
25.
Zhang
,
J.
,
Kundu
,
J.
, and
Manglik
,
R. M.
, 2004, “
Effect of Fin Waviness and Spacing On the Lateral Vortex Structure and Laminar Heat Transfer in Wavy-Plate-Fin Cores
,”
Int. J. Heat Mass Transfer
0017-9310,
47
(
8-9
), pp.
1719
1730
.
26.
Dalal
,
A.
, and
Das
,
M. K.
, 2006, “
Natural Convection in a Cavity With a Wavy Wall Heated From Below and Uniformly Cooled From the Top and Both Sides
,”
ASME J. Heat Transfer
0022-1481,
128
, pp.
717
725
.
27.
Asako
,
Y.
,
Faghri
,
M.
, and
Sundén
,
B.
, 1998, “
Three-Dimensional Laminar Forced Convection Characteristics of Wavy Ducts With Trapezoidal Cross Section for Plate-Fin Heat Exchangers
,”
Computational Simulation in Compact Heat Exchangers
,
B.
Sundén
and
M.
Faghri
, eds.,
Computational Mechanics
,
Southampton, UK
, pp.
49
75
.
28.
Manglik
,
R. M.
,
Zhang
,
J.
, and
Muley
,
A.
, 2005, “
Low Reynolds Number Forced Convection in Three-Dimensional Wavy-Plate-Fin Compact Channels: Fin Density Effects
,”
Int. J. Heat Mass Transfer
0017-9310,
48
, pp.
1439
1449
.
29.
Patankar
,
S. V.
, and
Spalding
,
D. B.
, 1972, “
A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows
,”
Int. J. Heat Mass Transfer
0017-9310,
15
, pp.
1787
1806
.
30.
Batchelor
,
G. K.
, 1967,
An Introduction to Fluid Dynamics
,
Cambridge University Press
,
Cambridge, England
.
31.
Kays
,
W. M.
, and
Crawford
,
M. E.
, 1980,
Convective Heat and Mass Transfer
,
McGraw-Hill
,
New York
.
You do not currently have access to this content.