Non-Darcy hydromagnetic free convection from a cone and a wedge in porous media |
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| Affiliation: | 1. KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut''s University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand;2. Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut''s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand;3. Department of Pure and Applied Mathematics, University of Haripur, Haripur, KPK, Haripur, Pakistan;4. Department of mathematics and statistics, University of Lahore, Pakistan;5. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan;1. Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, India;2. Department of Mathematics, Christ University, Bangalore 560058, India;1. Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Bellary 583105, India;2. Department of Mathematics, Central University of Karnataka, Kalaburagi 585367, India |
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| Abstract: | Continuum equations governing non-Darcy hydromagnetic free convection flow of an electrically conducting and heat-generating fluid over a vertical cone and a wedge adjacent to a porous medium are developed. These equations account for such effects as buoyancy, boundary and inertia effects of porous media, Hartmann effects of magnetohydrodynamics, and heat generation or absorption of fluid. Similarity variables were employed for the case of variable surface temperature and the resulting ordinary differential equations are solved numerically by an implicit, iterative, finite-difference method. Flow and heat transfer numerical results are obtained for various combinations of physical parameters. Graphical results illustrating interesting features of the physics of the problem are presented and discussed. |
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