Thermal Instability in a Horizontal Layer of Ferrofluid Confined Within Hele-Shaw Cell
Volume 2, Issue 1, September 2016, Pages: 8-12
Received: Sep. 26, 2016;
Accepted: Oct. 19, 2016;
Published: Nov. 2, 2016
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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
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.
Thermal Instability in a Horizontal Layer of Ferrofluid Confined Within Hele-Shaw Cell, Fluid Mechanics.
Vol. 2, No. 1,
2016, pp. 8-12.
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/
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