Abstract
In this paper biomagnetic fluid flow in a rectangular enclosure is studied under the influence of applied magnetic field and temperature-dependent viscosity. An electrically conducting magnetic fluid (blood) is considered here which also exhibits magnetization. It is assumed that the magnetization M¯ of the fluid is varying linearly with temperature T¯ and magnetic field intensity H¯. The viscosity μ¯ of biofluid is taken to be an exponential function of temperature. The mathematical model for the present problem results in a nonlinear and coupled system of equations and is given in stream function-vorticity-temperature formulation for the purpose of numerical treatment. Solutions are obtained iteratively by employing upwind scheme together with successive over relaxation method. Numerical results are presented in terms of average Nusselt number, streamlines, isotherms and vorticity function contours indicating that presence of magnetic source and viscosity variations influences the flow field considerably. It is found that the strength of the vortices and the temperature increases by magnifying the magnetic intensity and circular contours are generated extensively for the blood having variable viscosity.
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