In this study, magnetohydrodynamic natural convection boundary layer flow of an electrically conducting and viscous incompressible fluid along a heated vertical flat plate with uniform heat and mass flux in the presence of strong cross magnetic field has been investigated. Asymptotic solutions are obtained for small (≪1) and large (≫1) values of local Hartmann parameter, ξ, through regular perturbation method and matched asymptotic expansion technique, respectively. However, for all values of ξ the boundary layer equations are transformed to a suitable form by using the free variable formulation (FVF) as well as the stream function formulation (SFF). The equations obtained through FVF are integrated via direct finite difference method together with Gaussian elimination technique while the others obtained through SFF are integrated numerically via Thomas algorithm. Discussion is carried out for fluids having small Pr ≪1. The results obtained for small, large and all ξ regimes are examined in terms of shear stress, τw, rate of heat transfer, qw, and rate of mass transfer, mw, for important physical parameter. Attention has been given to the influence of Schmidt number, Sc, buoyancy ratio parameter, N and local Hartmann parameter, ξ on velocity, temperature and concentration distributions and noted that velocity and temperature of the fluid achieve their asymptotic profiles for Sc ≥ 10.0.
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November 2012
This article was originally published in
Journal of Heat Transfer
Technical Briefs
Double Diffusive Magneto-Convection Fluid Flow in a Strong Cross Magnetic Field With Uniform Surface Heat and Mass Flux
Sadia Siddiqa,
Md. Anwar Hossain,
Md. Anwar Hossain
1
e-mail: anwar@univdhaka.edu
Department of Mathematics,
Department of Mathematics,
COMSATS Institute of Information Technology
,Chak Shahzad
,Islamabad, 44000
Pakistan
1Former Professor of Mathematics, University of Dhaka, Bangladesh.
Search for other works by this author on:
Suvash C. Saha
Suvash C. Saha
2
School of Chemistry,
Physics & Mechanical Engineering,
e-mail: s_c_saha@yahoo.com; suvash.saha@qut.edu.au
Physics & Mechanical Engineering,
Queensland University of Technology
,GPO Box 2434
,Brisbane, QLD 4001
, Australia
e-mail: s_c_saha@yahoo.com; suvash.saha@qut.edu.au
2Corresponding author.
Search for other works by this author on:
Sadia Siddiqa
e-mail: saadiasiddiqa@gmail.com
Md. Anwar Hossain
e-mail: anwar@univdhaka.edu
Department of Mathematics,
Department of Mathematics,
COMSATS Institute of Information Technology
,Chak Shahzad
,Islamabad, 44000
Pakistan
Suvash C. Saha
School of Chemistry,
Physics & Mechanical Engineering,
e-mail: s_c_saha@yahoo.com; suvash.saha@qut.edu.au
Physics & Mechanical Engineering,
Queensland University of Technology
,GPO Box 2434
,Brisbane, QLD 4001
, Australia
e-mail: s_c_saha@yahoo.com; suvash.saha@qut.edu.au
1Former Professor of Mathematics, University of Dhaka, Bangladesh.
2Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received September 2, 2011; final manuscript received June 3, 2012; published online September 28, 2012. Assoc. Editor: Ali Ebadian.
J. Heat Transfer. Nov 2012, 134(11): 114506 (9 pages)
Published Online: September 28, 2012
Article history
Received:
September 2, 2011
Revision Received:
June 3, 2012
Citation
Siddiqa, S., Hossain, M. A., and Saha, S. C. (September 28, 2012). "Double Diffusive Magneto-Convection Fluid Flow in a Strong Cross Magnetic Field With Uniform Surface Heat and Mass Flux." ASME. J. Heat Transfer. November 2012; 134(11): 114506. https://doi.org/10.1115/1.4007130
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