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