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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v21.i6.30
pages 523-538

ENTROPY GENERATION ANALYSIS FOR MHD FLOW THROUGH A VERTICAL DEFORMABLE POROUS LAYER

S. Sreenadh
Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh, India-517502
G. Gopi Krishna
Department of Mathematics, Sri Venkateswara University, Tirupati, A.P., India
A. N. S. Srinivas
Department of Mathematics, School of Advanced Sciences, VIT University, Vellore, India
E. Sudhakara
Department of BS and H, Siddhartha Institute of Engineering and Technology, Puttur, India

RÉSUMÉ

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.


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