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ENTROPY GENERATION ANALYSIS FOR MHD FLOW THROUGH A VERTICAL DEFORMABLE POROUS LAYER
Sreenadh S, Gopi Krishna G, Sudhakara E.,
Published in Begell House
2018
Volume: 21
   
Issue: 6
Pages: 523 - 538
Abstract
The present study investigates the entropy generation analysis for magnetohydrodynamics (MHD) flow of a viscous fluid through a deformable vertical porous layer. The bounding vertical plates y = 0 and y = h are maintained at different constant temperatures T0 and Tw, respectively. The coupled phenomenon of the fluid movement and solid deformation in the porous medium are considered. Governing equations are deduced for the fluid velocity and solid displacement in the vertical deformable porous medium. The solutions in closed form for the fluid velocity, solid displacement, and temperature distribution are derived. Significant results are observed for different values of pertinent parameters, such as magnetic parameter, drag coefficient, and volume fraction of fluid in the porous layer. A table of comparison is made to study the effect of magnetic parameter on three different cases of volume flow rates Q1, Q2, and Q. It is noted that the volume flow rate in the deformable porous medium decreases with increasing magnetic parameter, since magnetic field reduces the fluid velocity. One of the important observations is that the flux is less for a deformable porous layer when compared to the free flow and rigid porous layer. The results coincide with the observations made by Wen et al. (Wen, P.H., Hon, Y.C., and Wang, W., Appl. Math. Modell., vol. 33, no. 1, pp. 423-436, 2009) and Barry et al. (Barry, S.I., Parker, K.H., and Aldis, G.K., J. Appl. Math. Phys., vol. 42, no. 5, pp. 633-648, 1991). The results obtained for the present flow characteristics reveal many interesting behaviors that warrant further study on the deformable porous media. The influence of drag coefficient on the entropy generation number and Bejan number was quite significant. © 2018 by Begell House, Inc.
About the journal
JournalJournal of Porous Media
PublisherBegell House
ISSN1091-028X
Open Access0