Influence of Hall and ion-slip currents on unsteady MHD free convective flows

What is it about?

A mathematical analysis of unsteady MHD free convective flow of an incompressible, chemically reacting, electrically and thermally conducting fluid past an oscillating vertical plate embedded in a fluid saturated porous medium in a rotating system taking Hall and ion-slip currents into account is presented. The plate temperature is considered tobe linear function of time for a certain time interval and thereafter it is kept at a constant temperature while species concentration at the surface of the plate is considered to be linear function of time. The governing coupled partial differential equations are solved by using Laplace transform technique. Two particular cases of interest are considered to obtain the solution of velocity field i.e. (i) when the natural frequency due to rotation and Hall current is different from the frequency of oscillations, and (ii) when the natural frequency due to rotation and Hall current is equal to the frequency of oscillations (i.e. the case of resonance). The expressions for skin friction, Nusselt number and Sherwood number are also derived. To analyze the flow features of the present problem the velocity, temperature and concentration distributions are depicted graphically whereas the skin friction at the plate, Nusselt number and Sherwood number are presented in tabular form for various values of different pertinent flow parameters.

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