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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| Format: | Article |
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Elsevier
2016
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| 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. |
| collection | USM |
| 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. |
| first_indexed | 2024-03-06T15:10:41Z |
| format | Article |
| id | usm.eprints-37278 |
| institution | Universiti Sains Malaysia |
| last_indexed | 2024-03-06T15:10:41Z |
| publishDate | 2016 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | usm.eprints-372782017-10-31T01:16:25Z 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 |
| spellingShingle | QA1-939 Mathematics Uddin, M.J. Khan, W.A. Md. Ismail, A.I. Two parameter scaling group for unsteady convective magnetohydrodynamic flow |
| title | 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_short | Two parameter scaling group for unsteady convective magnetohydrodynamic flow |
| title_sort | two parameter scaling group for unsteady convective magnetohydrodynamic flow |
| topic | QA1-939 Mathematics |
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