The effects of Hall parameter on the MHD fluid flow and heat transfer induced by uniform radial electric field due to a shrinking rotating disk

The steady Von Kármán flow and heat transfer of an incompressible electrically conducting fluid, in which Hall impact exists, are studied over an infinite radially shrinking rotating disk in presence of a magnetic field in the present paper as follows, (i) Navier-Stokes equations, Maxwell equation and energy equation have been modified in the presence of the Hall impact, applied the uniform magnetic field, and applied the radial electric field, (ii) Numerical solutions of the partial differential equations which govern the modified Navier-Stokes equations, Maxwell equation and energy equation are obtained by using the Chebyshev collocation technique for different values of the Hall parameters, magnetic interaction, radial electric parameters, Eckert and rotation numbers, (iii) The accuracy of the method is verified by comparing with the results in the literature, (iv) The influences of these parameters in these equations system are depicted graphically and analyzed.

Abstract licence: CC BY-NC

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