Abstract:
Stokes problem for a free convective flow past a vertical semi-infinite plate in a rotating system field taking
into account the effect of viscous dissipation and joule heating in the presence of variable inclined magnetic field. An
induced electric current known as Hall current exists due to the presence of both electric field and magnetic field. The
fluid is subjected to a variable magnetic field inclined at an angle
with positive direction of x axis in the xz- plane.
The central finite difference is used to discretisize space variables and Gauss Siedel iteration is used to advance time
variable. The aim of the present investigation is to study the effects of variable inclined magnetic field on the velocity and
Temperature profiles. Further the effect of angle of inclination, Prandtl number and Magnetic Reynolds number on the
flow variables has been investigated. The effects of external cooling (Gr>0) of the plate by the free convection are studied.
The skin friction and the rate of heat transfer are calculated using Newton’s interpolation formula. The results obtained
here are useful in applications on heat exchanger designs, wire and glass fiber drawing and in nuclear engineering in
connection with the cooling of reactors.
