The efficient method of eigenfunction expansion and point match is used to solve the Stokes flow through a channel with transverse fins. Both in-phase and staggered fins are considered. Streamlines and resistances are found in terms of fin height and fin spacing. Extrapolating to large spacings, the added resistances due to a single pair of aligned fins and that of a single fin in a channel are obtained.

Issue Section:
Research Papers
Topics:
Creeping flow, Fins, Eigenfunctions
1.
Bergles
 
A. E.
,
1988
, “
Some Perspectives on Enhanced Heat Transfer-Second-Generation Heat Transfer Technology
,”
ASME Journal of Heat Transfer
, Vol.
110
, pp.
1082
–
1096
.
2.
Chow
 
J. C. F.
, and
Soda
 
K.
,
1973
, “
Laminar Flow and Blood Oxygenation in channels with Boundary Irregularities
,”
ASME Journal of Applied Mechanics
, Vol.
40
, pp.
843
–
850
.
3.
Crone, C. and Levitt, D. G., 1984, “Capillary Permeability to Small Solutes,” Handbook of Physiology, Section 2, Vol. IV, Part 1, Microcirculation, E. M. Renkin and C. C. Michel, eds., American Physiological Society, Md, pp. 411–466.
4.
Dagan, G., 1989, Flow and Transport in Porous Formations, Springer, Berlin.
5.
Hasegawa
 
E.
, and
Izuchi
 
H.
,
1984
, “
On Steady Flow Through a Channel Consisting of an Uneven and a Plane Wall
,”
Bull. JSME
, Vol.
27
, pp.
1631
–
1636
.
6.
Joseph
 
D. D.
,
1977
, “
The Convergence of Biorthogonal Series for Biharmonic and Stokes Flow Edge Problems
,”
SIAM Journal of Applied Mathematics
, Vol.
33
, pp.
337
–
347
.
7.
Kelkar
 
K. M.
, and
Patankar
 
S. V.
,
1987
, “
Numerical Prediction of Flow and Heat Transfer in a Parallel Plate Channel with Staggered Fins
,”
ASME Journal of Heat Transfer
, Vol.
109
, pp.
25
–
30
.
8.
Lauder
 
B. E.
, and
Li
 
S.
,
1989
, “
A Numerical Study of Riblet Effects on Laminar Flow through a Plane Channel
,”
Applied Scientific Research
, Vol.
46
, pp.
271
–
279
.
9.
Pan
 
F.
, and
Acrivos
 
A.
,
1967
, “
Steady Flow in Rectangular Cavities
,”
Journal of Fluid Mechanics
, Vol.
28
, pp.
643
–
655
.
10.
Sparrow
 
E. M.
,
1966
,
Discussion of K. C. Cheng, “Analog Solution of Laminar Heat Transfer in Non Circular Ducts by Moire´ and Point Matchings
,”
ASME Journal of Heat Transfer
, Vol.
88
, p.
182
182
.
11.
Sparrow
 
E. M.
,
Baliga
 
B. R.
, and
Patankar
 
S. V.
,
1978
, “
Forced Convection Heat Transfer from a Shrouded Fin Array with and without Tip Clearance
,”
ASME Journal of Heat Transfer
, Vol.
100
, pp.
572
–
579
.
12.
Sparrow
 
E. M.
, and
Loeffler
 
A. L.
,
1959
, “
Longitudinal Laminar Flow Between Cylinders Arranged in Regular Array
,”
AIChE Journal
, Vol.
5
, pp.
325
–
330
.
13.
Wang
 
C. Y.
,
1976
, “
Parallel Flow Between Corrugated Plates
,”
ASCE, Journal of Engineering Mechanics Division
, Vol.
102
, pp.
1088
–
1090
.
14.
Wang
 
C. Y.
,
1979
, “
On Stokes Flow Between Corrugated Plates
,”
ASME Journal of Applied Mechanics
, Vol.
46
, pp.
462
–
464
.
15.
Wang
 
C. Y.
,
1994
, “
Flow in a Channel with Longitudinal Ribs
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
116
, pp.
233
–
237
.
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