This study examines the influence of Soret and Dufour effects on double diffusive free convection due to wavy vertical surface immersed in a fluid saturated semi-infinite porous medium under Darcian assumptions. A wavy to flat surface transformation is applied, and the resulting coupled nonlinear partial differential equations under Boussinesq approximation are reduced to boundary layer equations. A finite difference scheme based on the Keller-Box approach has been used in conjunction with block-tridiagonal solver for obtaining the solution for boundary layer equations. Results from the current study are compared with those available in literature. The effect of various parameters such as wave amplitude (a), Lewis number (Le), buoyancy ratio (B), and Soret (Sr) and Dufour (Df) numbers are analyzed through local and average Nusselt number, and local and average Sherwood number plots.

References

References
1.
Postelnicu
,
A.
, 2004, “
Influence of a Magnetic Field on Heat and Mass Transfer by Natural Convection From Vertical Surfaces in Porous Media Considering Soret and Dufour Effects
,”
Int. J. Heat Mass Transfer
,
47
(
6–7
), pp.
1467
1472
.
2.
Mahdy
,
A.
, 2009, “
MHD Non-Darcian Free Convection From a Vertical Wavy Surface Embedded in Porous Media in the Presence of Soret and Dufour Effect
,”
Int. Commun. Heat Mass Transfer
,
36
, pp.
1067
1074
.
3.
Nithyadevi
,
N.
, and
Ruey-Jen
Yang
, 2009, “
Double Diffusive Natural Convection in a Partially Heated Enclosure With Soret and Dufour Effects
,”
Int. J. Heat Fluid Flow
,
30
(
5
), pp.
902
910
.
4.
Nield
,
D. A.
, and
Bejan
,
A.
, 2006,
Convection in Porous Media
,
3rd ed.
,
Springer-Verlag
,
New York
.
5.
Alam
,
M. S.
,
Ferdows
,
M.
,
Ota
,
M.
, and
Maleque
,
M. A.
, 2006, “
Dufour and Soret Effects on Steady Free Convection and Mass Transfer Flow Past a Semi-Infinite Vertical Porous Plate in a Porous Medium
,”
Int. J. Appl. Mech. Eng.
,
11
(
3
), pp.
535
545
.
6.
Ching-Yang
Cheng
, 2009, “
Soret and Dufour Effects on Natural Convection Heat and Mass Transfer From a Vertical Cone in a Porous Medium
,”
Int. Commun. Heat Mass Transfer
,
36
(
10
), pp.
1020
1024
.
7.
Gaikwad
,
S. N.
,
Malashetty
,
M. S.
, and
Rama Prasad
,
K.
, 2009, “
An Analytical Study of Linear and Nonlinear Double Diffusive Convection in a Fluid Saturated Anisotropic Porous Layer With Soret Effect
,”
Appl. Math. Model.
,
33
, pp.
3617
3635
.
8.
Jang
,
J. H.
,
Yan
,
W. M.
, and
Liu
,
H. C.
, 2003, “
Natural Convection Heat and Mass Transfer Along a Vertical Wavy Surface
,”
Int. J. Heat Mass Transfer
,
46
, pp.
1075
1083
.
9.
Kumar
,
B. V. R.
,
Belouettar
,
S.
,
Krishna Murthy
,
S. V. S. S. N. V. G.
,
et al.
, 2008, in “
Soret and Dufour Effect on Double Diffusive Natural Convection in a Wavy Porous Enclosure
,”
Porous Media: Heat and Mass Transfer
,
Nova Science
,
Hauppage, NY
.
10.
Lakshmi Narayana
,
P. A.
, and
Murthy
,
P. V. S. N.
, 2007, “
Soret and Dufour Effects on Free Convection Heat and Mass Transfer in a Doubly Stratified Darcy Porous Medium
,”
J. Porous Media
,
10
, pp.
613
624
.
11.
Mansour
,
A.
,
Amahmid
,
A.
,
Hasnaoui
,
M.
, and
Bourich
,
M.
, 2006, “
Multiplicity of Solutions Induced by Thermosolutal Convection in a Square Porous Cavity Heated From Below and Submitted to Horizontal Concentration Gradient in the Presence of Soret Effect
,”
Numer. Heat Transfer, Part A
,
49
, pp.
69
94
.
12.
Nithyadevi
,
N.
, and Ruey-Jen Yang, 2009, “
Magnetoconvection in an Enclosure of Water Near Its Density Maximum With Soret and Dufour Effects
,”
Int. J. Heat Mass Transfer
,
52
, pp.
1667
1676
.
13.
Partha
,
M. K.
, 2009, “
Suction/Injection Effects on Thermophoresis Particle Deposition in a Non-Darcy Porous Medium Under the Influence of Soret, Dufour Effects
,”
Int. J. Heat Mass Transfer
,
52
, pp.
1971
1979
.
14.
Shariful Alam
,
Md.
, and
Mansur Rahman
,
Md.
, 2005, “
Dufour and Soret Effects on MHD Free Convective Heat and Mass Transfer Flow Past a Vertical Porous Flat Plate Embedded in a Porous Medium
,”
J. Naval Archit. Mar. Eng.
,
1
, pp.
55
65
.
15.
Weaver
,
J. A.
, and
Viskanta
,
R.
, 1991, “
Natural Convection Due to Horizontal Temperature and Concentration Gradients-2. Species Interdiffusion, Soret and Dufour Effects
,”
Int. J. Heat Mass Transfer
,
349
(
12
), pp.
3121
3133
.
16.
Rees
,
D. A. S.
, and
Pop
,
I.
, 1994, “
A Note on Free Convection Along a Vertical Wavy Surface in a Porous Medium
,”
ASME J. Heat Transfer
,
116
, pp.
505
508
.
17.
Sparrow
,
E. M.
,
Quack
,
H.
, and
Boerner
,
C. J.
, 1970, “
Local Nonsimilarity Boundary-Layer Solutions
,”
AIAA J.
,
8
, pp.
1936
1942
.
18.
Sparrow
,
E. M.
, and
Yu
,
H. S.
, 1971, “
Local Non-Similarity Thermal Boundary-Layer Solutions
,”
ASME J. Heat Transfer
,
93
, pp.
328
334
.
19.
Isaacson
,
E.
, and
Keller
,
H. B.
, 1966,
Analysis of Numerical Methods
,
Wiley
,
New York
.
20.
Keller
,
H. B.
, and
Cebeci
,
T.
, 1971,
Accurate Numerical Methods for Boundary Layer Flows-I, Two Dimensional Laminar Flows (Lecture Notes in Physics
, Vol.
8
),
Springer-Verlag
,
New York
.
21.
Bejan
,
A.
, and
Khair
,
K. R.
, 1985, “
Heat and Mass Transfer by Natural Convection in a Porous Medium
,”
Int. J. Heat Mass Transfer
,
28
(
5
), pp.
909
918
.
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