Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis w
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APPLIED MATHEMATICS AND MECHANICS (ENGLISH EDITION) https://doi.org/10.1007/s10483-021-2677-9
Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis with irreversibility∗ M. NAZEER1 , M. I. KHAN2 , S. KADRY3 , Yuming CHU4,5,∗ , F. AHMAD6 , W. ALI7 , M. IRFAN2 , M. SHAHEEN8 1. Department of Mathematics, Institute of Arts and Sciences, Government College University, Chiniot Campus, Faisalabad 35400, Pakistan; 2. Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan; 3. Department of Mathematics and Computer Science, Beirut Arab University, Beirut 11-5020, Lebanon; 4. Department of Mathematics, Huzhou University, Huzhou 313000, Zhejiang Province, China; 5. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China; 6. Department of Applied Sciences, National Textile University, Faisalabad 38000, Pakistan; 7. Chair of Production Technology, Faculty of Engineering Technology, University of Twente, Enschede 7500 AE, The Netherlands; 8. Department of Mathematics, Riphah Inernational Lniversity, Faisalabad Campus, Faiselabad 38000, Pakistan (Received May 26, 2020 / Revised Aug. 6, 2020) Abstract The unavailability of wasted energy due to the irreversibility in the process is called the entropy generation. An irreversible process is a process in which the entropy of the system is increased. The second law of thermodynamics is used to define whether the given system is reversible or irreversible. Here, our focus is how to reduce the entropy of the system and maximize the capability of the system. There are many methods for maximizing the capacity of heat transport. The constant pressure gradient or motion of the wall can be used to increase the heat transfer rate and minimize the entropy. The objective of this study is to analyze the heat and mass transfer of an Eyring-Powell fluid in a porous channel. For this, we choose two different fluid models, namely, the plane and generalized Couette flows. The flow is generated in the channel due to a pressure gradient or with the moving of the upper lid. The present analysis shows the effects of ∗ Citation: NAZEER, M., KHAN, M. I., KADRY, S., CHU, Y. M., AHMAD, F., ALI, W., IRFAN, M., and SHAHEEN, M. Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis with irreversibility. Applied Mathematics and Mechanics (English Edition) (2021) https://doi.org/10.1007/s10483-021-2677-9 † Corresponding author, E-mail: [email protected] Project supported by the National Natural Science Foundation of China (Nos. 11971142, 11871202, 61673169, 11701176, 11626101, and 11601485) c The Author(s) 2021
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M. NAZEER et al. the fluid parameters on the velocity, the temperature, the entropy generation, and the Bejan number. The nonlinear boundary value problem of the flow problem is solved with the help of the regular perturbation method.
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