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Research Journal of Science and Technology
Year : 2013, Volume : 5, Issue : 1
First page : ( 51) Last page : ( 54)
Print ISSN : 0975-4393.

On the Characterization of Nonoscillatory Motions in Maxwell Fluid in a Porous Medium Heated from Below

Prakash Jyoti*, Bala Renu

Department of Mathematics and Statistics, Himachal Pradesh University, Shimla – 171005, India

*Corresponding Author: jpsmaths67@gmail.com

Online published on 5 February, 2014.

Abstract

In the present paper condition for characterizing nonoscillatory motions which may be neutral or unstable in a horizontal layer of Maxwell fluid in a porous medium (modified Darcy-Brinkman-Maxwell Model) heated from below is obtained. It is proved that for a horizontal layer of Maxwell fluid in a porous medium heated from below an arbitrary neutral or unstable mode of the system is definitely nonoscillatory in character and in particular the ‘ principle of the exchange of stabilities’ is (RλP_r)/#x005B;(4π)#x005D; ^2 ≤1. The result is uniformly valid for all combinations of free and rigid boundaries.

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Keywords

Maxwell fluid, Oscillatory motions, Thermal Convection, Porous Media, Modified – Darcy -Brinkman – Maxwell Model.

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