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This paper investigates unsteady two-dimensional MHD flow past a rotating semi-infinite plate with an inclined magnetic field with viscous dissipation, Ohmic and Joule heating. The fluid is assumed to be electrically conducting. The governing non-linear partial differential equations for mass, momentum, energy, concentration and magnetic field are transformed into a couple system by using appropriate dimensionless parameters and quantities. The coupled systems are then coded in MATLAB and solved simultaneously using the Gauss Seidel iteration technique. Various flow parameters and quantities are varied and their effects on velocity, temperature, and concentration profiles are investigated and discussed. It is observed that the transient velocity profiles increase with the increment of the Prandtl number, Grashof number, Hall parameter and Eckert number, while they decrease with the increase of the angle of inclination of the magnetic field and Hartman number. The temperature profiles rise with increasing the Grashof number, Hall parameter, Eckert number and Joule heating parameter while they decrease with increasing the Prandtl number, angle of inclination of magnetic field and Hartman number. The concentration profiles decline with increasing the Schmidt number and, the magnetic induction profiles decrease with increasing the magnetic Reynolds number and angle of inclination. The concept behind MHD is that the magnetic field induces current in a moving conductive fluid, which in turn generates a force on the fluid. This research is of great interest in applications such as MHD boats, pumps and magnetic material processing.

The aim of this paper is to analyse thermal elastohydrodynamic lubrication (TEHL) line contact of rolling a bearing using a non-Newtonian uid that is described by the power law model. The performance characteristics of the rolling bearing are determined for various index for dilatant, Newtonian and pseudo plastic uids. The one-dimensional Reynolds and energy equations are both modied to incorporate the non-Newtonian nature of the lubricant. The coupled system of governing equations are discretized using the finite difference method and solved simultaneously. The results show that the pressure, film thickness and temperature for dilatant uids increased with increase in the ow index as compared to pseudo plastic uids. The in uence of thermal effects on pressure and lm thickness is more significant compared with that under isothermal elastohydrodynamic lubrication especially on the case of dilatant uids. The viscosity of the lubricant increases with increase in pressure and reduces with increment in temperature. The surface roughness in the bearing surface increases the lm thickness of the lubricant. The uid pressure, film thickness and temperature increases with increase in the bearing speed. To truly re ect the characteristics of EHL models, thermal effects should be considered.