THERMAL SCIENCE

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S. M. Khaled

THE EXACT EFFECTS OF RADIATION AND JOULE HEATING ON MHD MARANGONI CONVECTION OVER A FLAT SURFACE

ABSTRACT
In this paper, we re-investigate the problem describing effects of radiation, Joule heating and viscous dissipation on MHD Marangoni convection boundary layer over a flat surface with suction/injection. The analytical solution obtained for the reduced system of nonlinear-coupled differential equations governing the problem. Laplace transform successfully implemented to get the exact expression for the temperature profile. Furthermore, comparing the current exact results with approximate numerical results obtained using Runge-Kutta-Fehlberg method is introduced. These comparisons declare that the published numerical results agree with the current exact results. In addition, the effects of various parameters on the temperature profile are discussed graphically.
KEYWORDS
Rradiation, joule heating, Marangoni convection, flat surface, exact solution
PAPER SUBMITTED: 2015-10-05
PAPER REVISED: 2016-02-04
PAPER ACCEPTED: 2016-03-03
PUBLISHED ONLINE: 2016-03-12
DOI REFERENCE: https://doi.org/10.2298/TSCI151005050K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 1, PAGES [63 - 72]
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The exact effects of radiation and joule heating on MHD Marangoni convection over a flat surface

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