Volume 2, Issue 1, September 2016, Page: 8-12
Thermal Instability in a Horizontal Layer of Ferrofluid Confined Within Hele-Shaw Cell
Ankuj Bala, Department of Mathematics, Dravidian University Srinivasavanam Kuppam, Chittoor, Andhra Pradesh, India
Ramesh Chand, Department of Mathematics, Government Arya Degree College Nurpur, Himachal Pradesh, India
Received: Sep. 26, 2016;       Accepted: Oct. 19, 2016;       Published: Nov. 2, 2016
DOI: 10.11648/j.fm.20160201.12      View  2365      Downloads  50
Abstract
Linear thermal instability analysis of a ferrofluid layer confined between in Hele-Shaw cell is investigated. The stability theory is based upon perturbation method and normal mode technique and the resulting equations are solved by using Galerkin weighted residuals method to find expressions for Rayleigh number and critical Rayleigh number. ‘Principle of Exchange of Stabilities’ hold and the oscillatory modes are not allowed in the problem. It is found that Hele-Shaw number delays the onset of convection while magnetization parameter and buoyancy magnetization parameter hasten the onset of convection.
Keywords
Ferrofluid, Perturbation Method, Galerkin Method, Hele-Shaw Number, Magnetization Parameter
To cite this article
Ankuj Bala, Ramesh Chand, Thermal Instability in a Horizontal Layer of Ferrofluid Confined Within Hele-Shaw Cell, Fluid Mechanics. Vol. 2, No. 1, 2016, pp. 8-12. doi: 10.11648/j.fm.20160201.12
Copyright
Copyright © 2016 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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