Volume No. :   9

Issue No. :  1

Year :  2017

ISSN Print :  0975-4393

ISSN Online :  2349-2988


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Validity of Principle of Exchange of Stabilities of Rivilin- Ericksen Fluid Permeated with Suspended Particles in Porous Medium Under the effect of Rotation with Variable Gravity Field by using Operator Method


Pushap Lata Sharma

pl_maths@yahoo.in

Address:   Pushap Lata Sharma
Department of Mathematics, R.G. Govt. Degree College, Chaura Maidan, Shimla-4 (H.P.)
*Corresponding Author
DOI No: 10.5958/2349-2988.2017.00023.7

ABSTRACT:
The Thermosolutal Convection in Rivilin-Ericksen elastico-viscous fluid in porous medium is considered to include the effect of suspended particles and rotation under variable gravity. In the present, to establish the Principle of Exchange of Stabilities (PES) by using a method of a Positive Operator, a generalization of a positive matrix Wherein, the resolvent of the linearized stability operator is analyzed which is in the form of a composition of certain integral operators. Motivated by the analysis of Weinberger and the works of Herron, our objective here is to extend this analysis of positive operator to establish the PES. It is established by the method of positive operator of Weinberger that PES is valid for this problem under sufficient conditions and g (z) is nonnegative throughout the fluid layer.
KEYWORDS:
Rivilin-Ericksen, Positive Operator, Principle of Exchange of Stabilities, linearized Stability Operator, Suspended Particles.
Cite:
Pushap Lata Sharma. Validity of Principle of Exchange of Stabilities of Rivilin- Ericksen Fluid Permeated with Suspended Particles in Porous Medium Under the effect of Rotation with Variable Gravity Field by using Operator Method. Research J. Science and Tech. 2017; 9(1):143-149.
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