Natural convection flow in a strong cross magnetic field with radiation

Siddiqa, Sadia, Hossain, M. A., & Saha, Suvash C. (2013) Natural convection flow in a strong cross magnetic field with radiation. Journal of Fluids Engineering - Transactions of the ASME, 135(5), 051202-1.

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The problem of MHD natural convection boundary layer flow of an electrically conducting and optically dense gray viscous fluid along a heated vertical plate is analyzed in the presence of strong cross magnetic field with radiative heat transfer. In the analysis radiative heat flux is considered by adopting optically thick radiation limit. Attempt is made to obtain the solutions valid for liquid metals by taking Pr≪1. Boundary layer equations are transformed in to a convenient dimensionless form by using stream function formulation (SFF) and primitive variable formulation (PVF). Non-similar equations obtained from SFF are then simulated by implicit finite difference (Keller-box) method whereas parabolic partial differential equations obtained from PVF are integrated numerically by hiring direct finite difference method over the entire range of local Hartmann parameter, $xi$ . Further, asymptotic solutions are also obtained for large and small values of local Hartmann parameter $xi$ . A favorable agreement is found between the results for small, large and all values of $xi$ . Numerical results are also demonstrated graphically by showing the effect of various physical parameters on shear stress, rate of heat transfer, velocity and temperature.

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ID Code: 57203
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: Natural Convection, Strong Cross Magnetic Field, Radiation
DOI: 10.1115/1.4023854
ISSN: 1528-901X (online) 0098-2202 (print)
Subjects: 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 > Institutes > Institute for Future Environments
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 Please contact the authors.
Deposited On: 12 Feb 2013 22:08
Last Modified: 01 Jun 2013 13:33

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