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Double diffusive magneto-convection fluid flow in a strong cross magnetic field with uniform surface heat and mass flux

Siddiqa, Sadia, Hossain, M. Anwar, & Saha, Suvash C. (2012) Double diffusive magneto-convection fluid flow in a strong cross magnetic field with uniform surface heat and mass flux. Journal of Heat Transfer, Transaction of ASME, 134, p. 114506.

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Abstract

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. For smooth integrations the boundary layer equations are transformed in to a convenient dimensionless form by using stream function formulation as well as the free variable formulation. The nonsimilar parabolic partial differential equations are integrated numerically for Pr ≪1 that is appropriate for liquid metals against the local Hartmann parameter ξ . Further, asymptotic solutions are obtained near the leading edge using regular perturbation method for smaller values of ξ . Solutions for values of ξ ≫ 1 are also obtained by employing the matched asymptotic technique. 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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3 citations in Web of Science®

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ID Code: 50722
Item Type: Journal Article
Keywords: Magneto-convection, Strong cross magnetic field, Heat Transfer, CFD
ISSN: 1528-8943
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 American Society of Mechanical Engineers
Deposited On: 03 Jun 2012 23:31
Last Modified: 21 Mar 2013 10:52

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