<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Entropy Generation in Couette Flow Through a Deformable Porous Channel

Department of Mathematics, School of Advanced Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

{"article-title":"Entropy Generation in Couette Flow Through a Deformable Porous Channel"}

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...

ϕ	δ	V	U₀	M
0.2	1	0.5	1	0.6214
0.4	1	0.5	1	0.7422
0.6	1	0.5	1	0.8630
0.8	1	0.5	1	0.9837
0.6	1	0.5	1	0.8630
0.6	1.5	0.5	1	0.8295
0.6	2	0.5	1	0.7989
0.6	2.5	0.5	1	0.7706
0.6	1	1	1	0.8223
0.6	1	2	1	0.7388
0.6	1	3	1	0.6581
0.6	1	4	1	0.5849
0.6	1	0.5	1	0.8630
0.6	1	0.5	2	1.2881
0.6	1	0.5	3	1.7132
0.6	1	0.5	4	2.1383

ϕ	δ	U₀	τ₀	τ₁
0.2	1	1	1.7616	0.2830
0.4	1	1	2.4418	-0.5161
0.6	1	1	3.1219	-1.3151
0.8	1	1	3.8021	-2.1141
0.6	1	1	3.1219	-1.3151
0.6	1.5	1	2.9890	-1.0667
0.6	2	1	2.8678	-0.8345
0.6	2.5	1	2.7568	-0.6167
0.6	1	1	3.1219	-1.3151
0.6	1	2	3.7782	0.2663
0.6	1	3	4.4345	1.8477
0.6	1	4	5.0907	3.4290

Entropy Generation in Couette Flow Through a Deformable Porous Channel

Published Online: Dec 26, 2019

Page range: 575 - 590

Received: Sep 15, 2019

Accepted: Oct 28, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00054

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

© 2019 G. Gopi Krishna et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

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Effect of ϕ, δ, V, and U0 on Mass flux for fixed values of P = –8, Re = 1 and Fr = 1.

Effects of ϕ, δ and U0 on skin friction τ0, τ1, for fixed values of P = –8, Re = 1, V = 0.5 and Fr = 1

Entropy Generation in Couette Flow Through a Deformable Porous Channel

Published Online: Dec 26, 2019

Page range: 575 - 590

Received: Sep 15, 2019

Accepted: Oct 28, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00054

KeywordsCouette flow, deformable porous layer, suction/injection, entropy generation, Bejan number

© 2019 G. Gopi Krishna et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Fig. 1

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Fig. 25

Effect of ϕ, δ, V, and U0 on Mass flux for fixed values of P = –8, Re = 1 and Fr = 1.

Effects of ϕ, δ and U0 on skin friction τ0, τ1, for fixed values of P = –8, Re = 1, V = 0.5 and Fr = 1

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