Investigation of Entropy in Two-Dimensional Peristaltic Flow with Temperature Dependent Viscosity, Thermal and Electrical Conductivity
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Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China
2
Department of Mathematics, COMSATS University Islamabad (CUI), 455000, Park Road, Tarlai Kalan, Islamabad 44000, Pakistan
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(2), 200; https://doi.org/10.3390/e22020200
Received: 1 December 2019
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Revised: 23 December 2019
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Accepted: 8 January 2020
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Published: 10 February 2020
This study comprehensively explores the generalized form of two-dimensional peristaltic motions of incompressible fluid through temperature-dependent physical properties in a non-symmetric channel. Generation of entropy in the system, carrying Joule heat and Lorentz force is also examined. Viscous dissipation is not ignored, for viewing in-depth, effects of heat transmission and entropy production. The modeling of equations is tracked first in fixed and then in wave frame. The resultant set of coupled non-linear equations are solved numerically by utilizing NDSolve in Mathematica. Comparison between NDSolve and the numerical results obtained through bvp4c MATLAB is made for the validation of our numerical codes. The attained results are found to be in excellent agreement. The impact of control parameters on the velocity profiles, pressure gradient, heat transfer, streamlines and entropy production are studied and discussed graphically. It is witnessed that entropy production and heat transfer are increased significantly subject to the enhancement of Hartman number, Brinkman number and electrical conductivity parameter. Hence, choosing appropriate values of physical parameters, performance and efficiency of flow structure and system can be improved. The results reported provide a virtuous insight into bio energy systems providing a useful standard for experimental and extra progressive computational multiphysics simulations.
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Keywords:
variable fluid properties; magneto-hydrodynamics (MHD); joule dissipation; entropy generation; peristaltic flow
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MDPI and ACS Style
Qasim, M.; Ali, Z.; Farooq, U.; Lu, D. Investigation of Entropy in Two-Dimensional Peristaltic Flow with Temperature Dependent Viscosity, Thermal and Electrical Conductivity. Entropy 2020, 22, 200. https://doi.org/10.3390/e22020200
AMA Style
Qasim M, Ali Z, Farooq U, Lu D. Investigation of Entropy in Two-Dimensional Peristaltic Flow with Temperature Dependent Viscosity, Thermal and Electrical Conductivity. Entropy. 2020; 22(2):200. https://doi.org/10.3390/e22020200
Chicago/Turabian StyleQasim, Muhammad, Zafar Ali, Umer Farooq, and Dianchen Lu. 2020. "Investigation of Entropy in Two-Dimensional Peristaltic Flow with Temperature Dependent Viscosity, Thermal and Electrical Conductivity" Entropy 22, no. 2: 200. https://doi.org/10.3390/e22020200
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