Hydromagnetic non-Darcy flow and heat transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation |
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| Affiliation: | 1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China;2. College of Information and Control Engineering, Shandong Vocational University of Foreign Affairs, Rushan, Shandong, China;3. Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modeling, North-West University, Mafikeng Campus, Mmabatho, South Africa;4. School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China;5. Department of Mathematics, College of Science, Taif University, Taif 21944, Saudi Arabia;1. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;2. Department of Mathematics, Mirpur University of Science & Technology, Mirpur 10250, AJK, Pakistan;1. Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran;2. Mechanical Engineering Department, University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai, People''s Republic of China;3. Department of Mathematics, Sri Ramakrishna Mission Vidhyalaya College of Arts and Science, Coimbatore 641 020, India;4. Department of Mathematics, Providence College for Women, Coonoor 643 104, India |
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| Abstract: | Non-Darcy flow and heat characteristics over a stretching sheet is presented here by taking into account of Ohmic dissipation and thermal radiation effects. The governing fundamental equations are first transformed into system of ordinary differential equations using self-similarity transformation and they are then solved numerically by using the fifth-order Runge–Kutta–Fehlberg method with shooting technique for some values of the physical parameters. Important features of the flow and heat transfer characteristic for different values of thermal radiation, magnetic and electric fields are analyzed and discussed. Favorable comparisons with previously published work on various special cases of the problem are obtained. Numerical results for the velocity and temperature profiles for a prescribed magnetic field and electric field parameter as well as the development of the local skin-friction coefficient and local Nusselt number with radiation parameters are reported graphically for various parametric conditions to show interesting aspects of the numerical solution. |
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