Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 4, Issue 2


Published
on

December 26, 2019


Pages

575-590


DOI

Article

Entropy Generation in Couette Flow Through a Deformable Porous Channel

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Authors

G. Gopi Krishna Affiliation:
Department of Mathematics, Marri Laxman Reddy Institute of Technology and Management, Hyderabad, 500 043, T.S, India
, S. Sreenadh Affiliation:
Department of Mathematics, SriVenkateswara University, Tirupati, 517 502, A.P, India
and A.N.S. Srinivas Affiliation:
Department of Mathematics, School of Advanced Sciences, VIT, Vellore, 632 014, Tamilnadu, India


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.


Keywords

Couette flow, deformable porous layer, suction/injection, entropy generation, Bejan number, 76S05


Citation

Krishna, G. G., Sreenadh, S., & Srinivas, A. (2019). Entropy generation in couette flow through a deformable porous channel. Applied Mathematics and Nonlinear Sciences, 4(2), 575–590. https://doi.org/10.2478/AMNS.2019.2.00054

Published by: Engineering Journals

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