The problem of steady laminar hydromagnetic heat transfer by mixed convection flow over a vertical plate embedded in a uniform porous medium in the presence of a uniform normal magnetic field is studied. Convective heat transfer through porous media has wide applications in engineering problems such as in high temperature heat exchangers and in insulation problems. We construct solutions for the free convection boundary-layer flow equations using an Adomian–Padé approximation method that in the recent past has proven to be an able alternative to the traditional numerical techniques. The effects of the various flow parameters such as the Eckert, Hartmann, and Schmidt numbers on the skin friction coefficient and the concentration, velocity, and temperature profiles are discussed and presented graphically. A comparison of our results with those obtained using traditional numerical methods in earlier studies is made, and the results show an excellent agreement. The results demonstrate the reliability and the efficiency of the Adomian–Padé method in an unbounded domain.

1.
Sparrow
,
E. M.
, and
Cess
,
R. D.
, 1961, “
Free Convection With Blowing or Suction
,”
Int. J. Heat Mass Transfer
0017-9310,
83
, pp.
243
248
.
2.
Bejan
,
A.
, and
Khair
,
K. R.
, 1985, “
Heat and Mass Transfer by Natural Convection in a Porous Medium
,”
Int. J. Heat Mass Transfer
0017-9310,
28
, pp.
909
918
.
3.
Magyari
,
E.
, and
Keller
,
B.
, 2000, “
Exact Solutions for Self-Similar Boundary-Layer Flows Induced by Permeable Stretching Walls
,”
Eur. J. Mech. B/Fluids
0997-7546,
19
, pp.
109
122
.
4.
Ahmed
,
N.
,
Sarma
,
K.
, and
Ahmed
,
S.
, 2007, “
Free and Forced Convective MHD Flow and Mass Transfer Through a Porous Medium Bounded by an Infinite Vertical Porous Plate in the Presence of a Constant Heat Flux and Heat Source
,”
Proceedings of the 52nd Congress of ISTAM
,
BNMIT, Bangalore
, Dec. 14–17, pp.
152
160
.
5.
Raptis
,
A.
, and
Kafousias
,
N.
, 1982, “
Magnetohydrodynamic Free Convective Flow and Mass Transfer Through a Porous Medium Bounded by an Infinite Vertical Porous Plate With Constant Heat Flux
,”
Can. J. Phys.
0008-4204,
60
, pp.
1725
1729
.
6.
Acharya
,
M.
,
Dash
,
G. C.
, and
Singh
,
L. P.
, 2000, “
Magnetic Field Effects on the Free Convection and Mass Transfer Flow Through Porous Medium With Constant Suction and Constant Heat Flux
,”
Indian J. Pure Appl. Math.
0019-5588,
31
(
1
), pp.
1
18
.
7.
Ahmed
,
S.
, and
Ahmed
,
N.
, 2004, “
Two-Dimensional MHD Oscillatory Flow Along a Uniformly Moving Infinite Vertical Porous Plate Bounded by Porous Medium
,”
Indian J. Pure Appl. Math.
0019-5588,
35
(
12
), pp.
1309
1319
.
8.
Ahmed
,
N.
,
Sarma
,
D.
, and
Sarma
,
K.
, 2006, “
Free Convective MHD Flow Through a Porous Medium in the Presence of a Heat Source With Constant Heat Flux
,”
Proceedings of the 51st Congress of ISTAM
, Andhra University,
Visakhapatnam
, Dec. 18–21, pp.
73
81
.
9.
Adomian
,
G.
, 1994,
Solving Frontier Problems of Physics: The Decomposition Method
,
Kluwer
,
Boston, MA
.
10.
Makinde
,
O. D.
, 2005, “
Free-Convection Flow With Thermal Radiation and Mass Transfer Past a Moving Vertical Porous Plate
,”
Int. Commun. Heat Mass Transfer
0735-1933,
32
, pp.
1411
1419
.
11.
Wazwaz
,
A. M.
, 2006, “
The Modified Decomposition Method and Padé Approximants for a Boundary-Layer Equation in Unbounded Domain
,”
Appl. Math. Comput.
0096-3003,
177
, pp.
737
744
.
12.
Kechil
,
S. A.
, and
Hashim
,
I.
, 2007, “
Non-Perturbative Solution of Free-Convective Boundary-Layer Equation by Adomian Decomposition Method
,”
Phys. Lett. A
0375-9601,
363
, pp.
110
114
.
13.
Brinkman
,
H. C.
, 1947, “
A Calculation of the Viscous Force Exerted by a Flowing Fluid on a Dense Swarm of Particles
,”
Appl. Sci. Res., Sect. A
0365-7132,
A1
, pp.
27
34
.
14.
Heck
,
A.
, 2003,
Introduction to Maple
,
3rd ed.
,
Springer-Verlag
,
New York
.
15.
Abo-Eldahad
,
E. M.
, and
El Aziz
,
M. A.
, 2005, “
Viscous Dissipation and Joule Heating Effects on MHD-Free Convection From a Vertical Plate With Power-Law Variation in Surface Temperature in the Presence of Hall and Ion-Slip Currents
,”
Appl. Math. Model.
0307-904X,
29
, pp.
579
595
.
16.
Vafai
,
K.
, and
Kim
,
S. J.
, 1989, “
Forced Convection in a Channel Filled With a Porous Medium: An Exact Solution
,”
ASME J. Heat Transfer
0022-1481,
111
, pp.
1103
1106
.
17.
Aduda
,
B. O.
, and
Rawlings
,
R. D.
, 1994, “
An Acoustic-Ultrasonic Study of the Effect of Porosity on a Sintered Glass System
,”
J. Mater. Sci.
0022-2461,
29
(
9
), pp.
2297
2303
.
18.
Anjali-Devi
,
S. P.
, and
Kandasamy
,
R.
, 2002, “
Analysis of Nonlinear Two Dimensional Laminar Natural Flow and Mixed Convection Over Variable Surface With Free Stream Conditions
,”
J. Comput. Appl. Math.
0377-0427,
3
(
2
), pp.
107
116
.
19.
Abel
,
S.
,
Prasad
,
K. V.
, and
Mahaboob
,
A.
, 2005, “
Buoyancy Force and Thermal Radiation Effects in MHD Boundary Layer Visco-Elastic Fluid Flow Over Continuously Moving Stretching Surface
,”
Int. J. Therm. Sci.
1290-0729,
44
, pp.
465
476
.
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