Entropy Generation in Couette Flow Through a Deformable Porous Channel

Author:

Krishna G. Gopi1,Sreenadh S.2,Srinivas A.N.S.3

Affiliation:

1. Department of Mathematics , Marri Laxman Reddy Institute of Technology and Management , Hyderabad , 500 043, T.S , India

2. Department of Mathematics , SriVenkateswara University , Tirupati , 517 502, A.P , India

3. Department of Mathematics, School of Advanced Sciences , VIT , Vellore , 632 014, Tamilnadu , India

Abstract

Abstract The present study examines the entropy generation on Couette flow of a viscous fluid in parallel plates filled with deformable porous medium. The fluid is injected into the porous channel perpendicular to the lower wall with a constant velocity and is sucked out of the upper wall with same velocity .The coupled phenomenon of the fluid flow and solid deformation in the porous medium is taken in to consideration. The exact expressions for the velocity of fluid, solid displacement and temperature distribution are found analytically. The effect of pertinent parameters on the fluid velocity, solid displacement and temperature profiles are discussed in detail. In the deformable porous layer, it is noticed that the velocity of fluid, solid displacement and temperature distribution are decreases with increasing the suction/injection velocity parameter. The results obtained for the present flow characteristic reveal several interesting behaviors that warrant further study on the deformable porous media. Furthermore, the significance of drag and the volume fraction on entropy generation number and Bejan number are discussed with the help of graphs.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

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