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Analytic solutions for MHD flow in an annulus
Affiliation:1. Department of Mathematics, FBAS, IIU, Islamabad, Pakistan;2. Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan;3. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, South Africa;1. Section of Applied Mathematics, Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia;2. Department of Mathematics, University of Rijeka, Radmile Matejčić 2, Rijeka, 51000 Rijeka, Croatia;1. Institute of Environmental Assessment and Water Research (IDÆA), Spanish National Research Council (CSIC), 08034 Barcelona, Spain;2. Massachusetts Institute of Technology, 77 Massachusetts Ave, Building 48, Cambridge, MA 02139, USA;3. Université de Rennes 1, CNRS, Geosciences Rennes, UMR 6118, Rennes, France;1. University Orléans, INSA Centre Val de Loire, LIFO EA 4022, F-45067 Orléans, France;2. CNRS & UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d’Alembert, Boîte 162, F-75005 Paris, France;3. Antea Géo-Hyd, 101 rue Jacques Charles, 45160 Olivet, France
Abstract:This work aims to determine analytic solutions for a nonlinear problem governing the magnetohydrodynamic (MHD) flow of a third grade fluid in the annulus of rotating concentric cylinders. The influence of the embedded flow parameters on the velocity profile is analyzed.
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