Present study focuses on numerical investigation of fully developed flow and heat transfer through three channels having sine-shaped, triangle-shaped, and arc-shaped wall profiles. All computations are performed at Reynolds number of 600. Finite volume method on collocated grid is used to solve the time-dependent Navier–Stokes and energy equations in primitive variable form. For all the geometries considered in the study, the ratios Hmin/Hmax and L/a are kept fixed to 0.4 and 8.0, respectively. The thermal performances of all the three wall configurations are assessed using integral parameters as well as instantaneous, time-averaged and fluctuating flow fields. The geometry with the sinusoidal-shaped wall profile is found to produce the best thermal properties as compared to the triangle-shaped and the arc-shaped profiles though the obtained heat transfer is the highest for the arc-shaped geometry.

References

1.
Goldstein
,
J. L.
, and
Sparrow
,
E. M.
,
1977
, “
Heat and Mass Transfer Characteristics for Flow in a Corrugated Wall Channel
,”
ASME J. Heat Transfer
,
99
, pp.
187
195
.10.1115/1.3450667
2.
Hudson
,
J. D.
,
Dykhno
,
L.
, and
Hanratty
,
T. J.
,
1996
, “
Turbulence Production in Flow Over a Wavy Wall
,”
Exp. Fluids
,
20
, pp.
257
65
.10.1007/BF00192670
3.
Saidi
,
C.
,
Legay
,
F.
, and
Fotch
,
B. P.
,
1987
, “
Laminar Flow Past a Sinusoidal Cavity
,”
Int. J. Heat Mass Transfer
,
30
(
4
), pp.
649
660
.10.1016/0017-9310(87)90195-5
4.
Patankar
,
S. V.
,
Liu
,
C. H.
, and
Sparrow
,
E. M.
,
1977
, “
Fully Developed Flow and Heat Transfer in Ducts Having Streamwise—Periodic Variations of Cross-Sectional Area
,”
ASME J. Heat Transfer
,
99
, pp.
180
186
.10.1115/1.3450666
5.
Wang
,
G.
, and
Vanka
,
S. P.
,
1995
, “
Convective Heat Transfer in Periodic Wavy Passages
,”
Int. J. Heat Mass Transfer
,
38
(
17
), pp.
3219
3230
.10.1016/0017-9310(95)00051-A
6.
Tanda
,
G.
, and
Vittori
,
G.
,
1996
, “
Fluid Flow and Heat Transfer in a Two-Dimensional Wavy Channel
,”
Heat Mass Transfer
,
31
, pp.
411
418
.10.1007/BF02172588
7.
Wang
,
C. C.
, and
Chen
,
C. K.
,
2002
, “
Forced Convection in a Wavy-Wall Channel
,”
Int. J. Heat Mass Transfer
,
45
, pp.
2587
2595
.10.1016/S0017-9310(01)00335-0
8.
Hossain
,
M. Z.
, and
Islam
,
A. K. M. S.
,
2004
, “
Fully Developed Flow Structures and Heat Transfer in Sine-Shaped Wavy Channels
,”
Int. Commun. Heat Mass Transfer
,
31
(
6
), pp.
887
896
.10.1016/S0735-1933(04)00075-2
9.
Xie
,
G. N.
,
Wang
,
Q. W.
,
Zeng
,
M.
, and
Luo
,
L. Q.
,
2007
, “
Numerical Investigation of Heat Transfer and Fluid Flow Characteristics Inside a Wavy Channel
,”
Heat Mass Transfer
,
43
, pp.
603
611
.10.1007/s00231-006-0133-7
10.
Nishimura
,
T.
,
Murakami
,
S.
,
Arakawa
,
S.
, and
Kawamura
,
Y.
,
1990
, “
Flow Observations and Mass Transfer Characteristics in Symmetrical Wavy-Walled Channels at Moderate Reynolds Number for Steady Flow
,”
Int. J. Heat Mass Transfer
,
33
(
5
), pp.
835
845
.10.1016/0017-9310(90)90067-5
11.
Niceno
,
B.
, and
Nobile
,
E.
,
2001
, “
Numerical Analysis of Fluid Flow and Heat Transfer in Periodic Wavy Channels
,”
Int. J. Heat Fluid Flow
,
22
, pp.
156
167
.10.1016/S0142-727X(01)00074-1
12.
Haitham
,
M. S. B.
,
Anand
,
N. K.
, and
Chen
,
H. C.
,
2005
, “
Numerical Study of Heat and Momentum Transfer in Channels With Wavy Walls
,”
Numer. Heat Transfer, Part A
,
47
, pp.
417
439
.10.1080/10407780590891218
13.
Haitham
,
M. S. B.
,
2007
, “
Numerical Study of Fluid Flow and Heat Transfer Characteristics in Channels With Staggered Wavy Walls
,”
Numer. Heat Transfer, Part A
,
51
,
877
898
.10.1080/10407780600939644
14.
Tolentino
,
F. O.
,
Méndez
,
R. R.
,
Guerrero
,
A. H.
, and
Palomares
,
B. G.
,
2008
, “
Experimental Study of Fluid Flow in the Entrance of a Sinusoidal Channel
,”
Int. J. Heat Fluid Flow
,
29
,
1233
1239
.10.1016/j.ijheatfluidflow.2008.03.017
15.
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
,
42
,
1541
1553
.10.1016/S0017-9310(98)00264-6
16.
Hossain
,
M. Z.
, and
Islam
,
A. K. M. S.
,
2007
, “
Numerical Investigation of Fluid Flow and Heat Transfer Characteristics in Sine, Triangular, and Arc-Shaped Channels
,”
Therm. Sci.
,
11
(
1
), pp.
17
26
.10.2298/TSCI0701017H
17.
Rhie
,
C. M.
, and
Chow
,
W. L.
,
1983
, “
Numerical Study of Turbulent Flow Past an Aerofoil With Trailing Edge Separation
,”
AIAA J.
,
21
(
11
), pp.
1525
1532
.10.2514/3.8284
18.
Incropera
,
F. P.
, and
DeWitt
,
D. P.
,
2002
,
Introduction to Heat Transfer
, 4th ed.,
John Wiley & Sons
,
New York
.
19.
Ramgadia
,
A. G.
, and
Saha
,
A. K.
,
2012
, “
Fully Developed Flow and Heat Transfer Characteristics in a Wavy Passage: Effect of Amplitude of Waviness and Reynolds Number
,”
Int. J. Heat Mass Transfer
,
55
,
2494
2509
.10.1016/j.ijheatmasstransfer.2012.01.010
20.
Ramgadia
,
A. G.
, and
Saha
,
A. K.
,
2012
, “
Large Eddy Simulation of Turbulent Flow and Heat Transfer in a Ribbed Coolant Passage
,”
J. Appl. Math.
,
2012
, 246313.10.1155/2012/246313
21.
Guzmán
,
A. M.
, and
Amon
,
C. H.
,
1994
, “
Transition to Chaos in Converging-Diverging Channel Flows: Ruelle-Takens-Newhouse Scenario
,”
Phys. Fluids
,
6
(
6
), pp.
1994
2002
.10.1063/1.868206
You do not currently have access to this content.