Title

Bem Solution To Transient Free Convective Heat Transfer In A Viscous, Electrically Conducting, And Heat Generating Fluid

Authors

Authors

K. Vajravelu; A. Kassab;A. Hadjinicolaou

Comments

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Abbreviated Journal Title

Numer. Heat Tranf. A-Appl.

Keywords

FLOWS; Thermodynamics; Mechanics

Abstract

The nonlinear partial differential equations for the transient free convective heat transfer in a viscous, electrically conducting, and heat-generating fluid past a vertical porous plate in the presence of free stream oscillations are solved by the boundary element method (BEM). Time-dependent fundamental solutions are employed in a time marching scheme to resolve the field variables. Numerical results are compared with previously reported analytical solutions in order to validate the developed BEM algorithm. These previous studies reported results for simpler versions of our problem, in which the convective effects in the momentum and energy equations were neglected in order to obtain analytical numerical solutions. Our BEM results ore shown to be in close agreement with the reported data. The effects of convection currents, the temperatue-dependent heat sources (or sinks), the magnetic currents, and the viscous dissipation on the flow and heat transfer characteristics are assessed in a parametric study, which considers a variety of the dimensionless parameters Gr, Ec, Pr, M, and gamma. It is observed that gamma plays an important role in delaying the fluid flow reversal, present in the case of air, and acts to enhance the effect of Gr in augmenting the rate of heat transfer at the wad. The shin friction is observed to be an increasing function of Gr, Ec, and gamma and a decreasing function of M and Pr. However, the rate of heat transfer (in an absolute sense) is an increasing function of M, gamma, Gr and Ec and a decreasing function of Pr. Of all the parameters, the Prandtl number has the strongest effect on the flow and heat transfer characteristics.

Journal Title

Numerical Heat Transfer Part a-Applications

Volume

30

Issue/Number

6

Publication Date

1-1-1996

Document Type

Article

Language

English

First Page

555

Last Page

574

WOS Identifier

WOS:A1996VV37500002

ISSN

1040-7782

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