Conjugate heat transfer of magnetic mixed convection with radiative and viscous dissipation effects for second-grade viscoelastic fluid past a stretching sheet |
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| Affiliation: | 1. Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta 577 451, Shimoga, Karnataka, India;2. Department of Mathematics, Jawaharlal Nehru National College of Engineering, Shimoga 577201, Karnataka, India;3. Department of Mathematics, Sahyadri Science College (Autonomous), Shimoga 577201, Karnataka, India;1. Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia;3. Department of Mathematics and Statistics, Faculty of Basic & Applied Sciences, International Islamic University, Islamabad, 44000, Pakistan;4. Department of Mathematics, Government College Women University, Sialkot, 51310, Pakistan;1. Department of Mathematics, Faculty of Sciences, South Valley University, Qena, Egypt;2. College of Engineering, Mechanical Engineering Department, Babylon University, Babylon City—Hilla, Iraq;3. Department of Thermofluids, Faculty of Mechanical Engineering, University Teknologi Malaysia (UTM), 81310 UTM Skudai, Johor Bahru, Malaysia;4. Department of Mechanical Engineering, University of Ilorin, Ilorin, Nigeria;5. School of Physics Science and Technology, School of Energy—Soochow University, Suzhou 215006, Jiangsu, People''s Republic of China;6. Unité de Métrologie en Mécanique des Fluides et Thermique, Ecole Nationale d’Ingénieurs, Monastir, Tunisia;7. Department of Mechanical Engineering, Babol University of Technology, PO Box 484, Babol, Iran;8. Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur 50603, Malaysia |
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| Abstract: | A radiative and viscous dissipation effects conjugate heat transfer problem of a second-grade viscoelastic fluid past a stretching sheet has been studied. Governing equations for heat conduction equation of a stretching sheet, and continuity equation, momentum equation and energy equation of a second-grade fluid have been analyzed by a combination of a series expansion method, the similarity transformation and a second-order accurate finite-difference method. These solutions are used to obtain distributions of the local convective heat transfer coefficient and the stretching sheet temperature. The ranges of these dimensionless parameters, the Prandtl number Pr, the elastic number E and the conduction–convection coefficient Ncc are from 0.001 to 10, 0.0001 to 0.01, and 0.5 to 2.0, respectively. A parameter, G, which is used to represent the strength of the buoyancy, is present in the governing equations. A parameter, Mn, which represents the strength of the magnetic filed effect, Nr shows the radiation effect are also present in governing equations. Results indicate that elastic effect in the flow may increase the local heat transfer coefficient and enhance the heat transfer of a stretching sheet. In addition, same as results from Newtonian fluid flow and conduction analysis of a stretching sheet, a better heat transfer has obtained with larger Ncc, G, E, and Pr. It shows that a non-Newtonian flow (E = 0.1, E = 0.01) have a good efficiency to reduce heat for a stretching sheet better than a nearly Newtonian flow (E = 0.001). |
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