Unsteady MHD-boundary-layer of a source and vortex flow adjacent to a stationary surface

Takhar, Harmindar S., Nath, Girishwar and Singh, Ashok K. (2001) Unsteady MHD-boundary-layer of a source and vortex flow adjacent to a stationary surface. Acta Mechanica, 146 (1-2). pp. 9-20. ISSN 0001-5970

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Abstract

The steady laminar incompressible flow of an electrically conducting fluid over an infinite permeable disk in the presence of an axial magnetic field has been investigated, and a self-similar solution of the boundary-layer equations is obtained numerically. For large values of the suction parameter, a closed form solution is obtained. Also, an asymptotic solution is found for large values of the independent variable. The surface-shear stresses in the radial and tangential directions and the surface heat transfer strongly depend on the suction parameter, the ratio of the source and vortex flow and the magnetic field except the surface heat transfer which weakly depends on the magnetic field. The similarity solution of the boundary-layer equations exists only when a certain minimum suction or magnetic field is applied. The results of the analytical solution are in good agreement with those of the numerical solution for the suction parameterfw≥3.