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Effect of Hall current on the velocity and temperature distributions of Couette flow with variable properties
Institution:1. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran;2. Modern Manufacturing Technologies Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran;1. Institute of Biomedical Engineering and Informatics, Technische Universität Ilmenau, Germany;2. Advanced Electromagnetics Group, Technische Universität Ilmenau, Germany;3. IMMS Institut für Mikroelektronik- und Mechatronik-Systeme gemeinnützige GmbH, 98693 Ilmenau, Germany;1. School of Mechanical, Materials and Mechatronic Engineering, University of Wollongong, NSW 2522, Australia;2. Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 0C3;1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt;3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;4. Department of Mathematics, College of Science and Arts, University of Aljouf, El-Qurayat, Saudi Arabia
Abstract:The unsteady hydromagnetic Couette flow and heat transfer between two parallel porous plates is studied with the Hall effect and temperature dependent properties. The fluid is acted upon by a constant pressure gradient and an external uniform magnetic field as well as uniform suction and injection applied perpendicular to the parallel plates. A numerical solution for the governing non-linear equations of motion and the energy equation are obtained. The effect of the Hall term and the temperature-dependent viscosity and thermal conductivity on both velocity and temperature distributions is examined.
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