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Hall effect on MHD free convection boundary layer flow past a vertical flat plate

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Abstract

Effects of Hall current on MHD free convection boundary layer flow of a viscous incompressible electrically conducting fluid past a heated vertical flat plate of finite dimension in the presence of a uniform transverse magnetic field have been studied. An exact solution of the governing equations describing the flow has been obtained. The velocity field, induced magnetic field and bulk temperature distributions in the boundary layer flow have been discussed. It is found that the velocity components increase with an increase in Hall parameter. It is noticed that the induced magnetic field components are radically influenced by the Hall parameter. It is also found that the magnitude of bulk temperature in the x-direction decreases with an increase in either Hall parameter or magnetic parameter. On the other hand, the magnitude of the bulk temperature in the z-direction increases with an increase in Hall parameter whereas it decreases with an increase in magnetic parameter.

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Authors and Affiliations

  1. Department of Applied Mathematics, Vidyasagar University, Midnapore, 721 102, India

    S. Das, B. C. Sarkar & R. N. Jana

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  1. S. Das
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  2. B. C. Sarkar
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  3. R. N. Jana
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Correspondence to R. N. Jana.

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Das, S., Sarkar, B.C. & Jana, R.N. Hall effect on MHD free convection boundary layer flow past a vertical flat plate. Meccanica 48, 1387–1398 (2013). https://doi.org/10.1007/s11012-012-9673-8

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  • DOI: https://doi.org/10.1007/s11012-012-9673-8

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