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Two parameter scaling group for unsteady convective magnetohydrodynamic flow

A mathematical model for two dimensional unsteady magneto-convective flows with heat and mass transfer in the presence of a time dependent magnetic field is presented. The system of partial differential equations governing the transport problem is converted to a system of ordinary differential eq...

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Main Authors: Uddin, M.J., Khan, W.A., Md. Ismail, A.I.
Format: Article
Published: Elsevier 2016
Subjects:
QA1-939 Mathematics
Online Access:http://eprints.usm.my/37278/
https://doi.org/10.1016/j.aej.2016.02.004
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spelling my.usm.eprints.37278 http://eprints.usm.my/37278/ Two parameter scaling group for unsteady convective magnetohydrodynamic flow Uddin, M.J. Khan, W.A. Md. Ismail, A.I. QA1-939 Mathematics A mathematical model for two dimensional unsteady magneto-convective flows with heat and mass transfer in the presence of a time dependent magnetic field is presented. The system of partial differential equations governing the transport problem is converted to a system of ordinary differential equations via two parameter scaling group transformations, before being solved using an implicit finite difference method. Computed results for non-dimensional velocity, temperature and concentration distributions as well as skin friction factor, local Nusselt number and Sherwood number are discussed for various values of the controlling parameters (Prandtl number, Schmidt number, Richardson number, magnetic field and buoyancy ratio). It is found that the magnetic field causes an increase in the rate of the heat and mass transfers. The buoyancy ratio increases the heat transfer rates and decreases the mass transfer rates. Elsevier 2016-06 Article PeerReviewed Uddin, M.J. and Khan, W.A. and Md. Ismail, A.I. (2016) Two parameter scaling group for unsteady convective magnetohydrodynamic flow. Alexandria Engineering Journal, 55 (2). pp. 829-835. ISSN 1110-0168 https://doi.org/10.1016/j.aej.2016.02.004
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
topic QA1-939 Mathematics
spellingShingle QA1-939 Mathematics
Uddin, M.J.
Khan, W.A.
Md. Ismail, A.I.
Two parameter scaling group for unsteady convective magnetohydrodynamic flow
description A mathematical model for two dimensional unsteady magneto-convective flows with heat and mass transfer in the presence of a time dependent magnetic field is presented. The system of partial differential equations governing the transport problem is converted to a system of ordinary differential equations via two parameter scaling group transformations, before being solved using an implicit finite difference method. Computed results for non-dimensional velocity, temperature and concentration distributions as well as skin friction factor, local Nusselt number and Sherwood number are discussed for various values of the controlling parameters (Prandtl number, Schmidt number, Richardson number, magnetic field and buoyancy ratio). It is found that the magnetic field causes an increase in the rate of the heat and mass transfers. The buoyancy ratio increases the heat transfer rates and decreases the mass transfer rates.
format Article
author Uddin, M.J.
Khan, W.A.
Md. Ismail, A.I.
author_facet Uddin, M.J.
Khan, W.A.
Md. Ismail, A.I.
author_sort Uddin, M.J.
title Two parameter scaling group for unsteady convective magnetohydrodynamic flow
title_short Two parameter scaling group for unsteady convective magnetohydrodynamic flow
title_full Two parameter scaling group for unsteady convective magnetohydrodynamic flow
title_fullStr Two parameter scaling group for unsteady convective magnetohydrodynamic flow
title_full_unstemmed Two parameter scaling group for unsteady convective magnetohydrodynamic flow
title_sort two parameter scaling group for unsteady convective magnetohydrodynamic flow
publisher Elsevier
publishDate 2016
url http://eprints.usm.my/37278/
https://doi.org/10.1016/j.aej.2016.02.004
_version_ 1643709024339755008
score 13.251813

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