Volume 3, Issue 4, August 2017, Page: 41-45
Combined Effect of Magnetic field and Internal Heat Generation on the Onset of Marangoni Convection
Gangadharaiah, Department of Mathematics, Sir M Visvesvaraya Institute of Technology, Bangalore, India
Received: Apr. 21, 2017;       Accepted: Sep. 15, 2017;       Published: Oct. 23, 2017
DOI: 10.11648/j.ijfmts.20170304.12      View  1485      Downloads  63
Abstract
Marangoni convection in a horizontal layer with a uniform internal heat source and vertical magnetic field is analyzed. The boundaries are considered to be rigid, however permeable, and insulated to temperature perturbations. The upper surface of a fluid layer is deformably free. The eigen value equations of the perturbed state obtained from the normal mode analysis are solved by using regular perturbation method with as wave number. The results show that the critical Marangoni number Mc become larger as the Chandrasekhar number Q increases, internal heat source and the Crispation number Cr decreases.
Keywords
Internal Heat Source, Magnetic Field, Marangoni Convection
To cite this article
Gangadharaiah, Combined Effect of Magnetic field and Internal Heat Generation on the Onset of Marangoni Convection, International Journal of Fluid Mechanics & Thermal Sciences. Vol. 3, No. 4, 2017, pp. 41-45. doi: 10.11648/j.ijfmts.20170304.12
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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