Magnetohydrodynamic Flow and Heat Transfer Induced by a Shrinking Sheet

Nor Ain Azeany Mohd Nasir, Anuar Ishak and Ioan Pop
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Nor Ain Azeany Mohd Nasir: Department of Mathematics, Centre for Defence Foundation Studies, Universiti Pertahanan Nasional Malaysia, Kem, Sungai Besi, Kuala Lumpur 57000, Malaysia
Anuar Ishak: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia
Ioan Pop: Department of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

Mathematics, 2020, vol. 8, issue 7, 1-12

Abstract: The magnetohydrodynamic (MHD) stagnation point flow over a shrinking or stretching flat sheet is investigated. The governing partial differential equations (PDEs) are reduced into a set of ordinary differential equations (ODEs) by a similarity transformation and are solved numerically with the help of MATLAB software. The numerical results obtained are for different values of the magnetic parameter M , heat generation parameter Q , Prandtl number Pr and reciprocal of magnetic Prandtl number ε. The influences of these parameters on the flow and heat transfer characteristics are investigated and shown in tables and graphs. Two solutions are found for a certain rate of the shrinking strength. The stability of the solutions in the long run is determined, and shows that only one of them is stable. It is found that the skin friction coefficient f ″ ( 0 ) and the local Nusselt number − θ ′ ( 0 ) decrease as the magnetic parameter M increases. Further, the local Nusselt number increases as the heat generation increases.

Keywords: dual solutions; induced magnetic field; shrinking sheet; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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