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Effect of porous lining on the MHD flow between two concentric rotating cylinders under the influence of a uniform magnetic field

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In this paper we have studied the viscous incompressible and slightly conducting fluid flow between two concentric rotating cylinders with non-erodable and non-conducting porous lining on the inner wall of the outer cylinder under the influence of a uniform radial magnetic field of the formB r =A/r (Hughes and Young). We have solved the equations using the method given in Hughes and Young. We have evaluated the velocity and temperature distributions, shearing stress and the rates of heat transfer coefficients. We have investigated the effects of the magnetic parameter, the non-dimensional measure of the thickness of the porous lining, the ratio of the velocities of the cylinders, the slip parameter, the porosity parameter, the Biot number and the productP r E on the physical quantities evaluated.

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Bathaiah, D., Venugopal, R. Effect of porous lining on the MHD flow between two concentric rotating cylinders under the influence of a uniform magnetic field. Acta Mechanica 44, 141–158 (1982). https://doi.org/10.1007/BF01303333

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  • DOI: https://doi.org/10.1007/BF01303333

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