A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field

A theoretical analysis is presented for transient, fully-developed magnetohydrodynamic free and forced convection flow of a viscous, incompressible, newtonian fluid in a rotating horizontal parallel-plate channel subjected to a uniform strength, static, oblique magnetic field acting at an angle ƒá to the positive direction of the axis of rotation. a constant pressure gradient is imposed along the longitudinal axis of the channel. magnetic reynolds number is sufficiently small to negate the effects of magnetic induction. the channel plates are electrically non-conducting. the conservation equations are formulated in an (x,y,z) coordinate system and normalized using appropriate transformations. the resulting non-dimensional coupled ordinary differential equations for primary and secondaryvelocity components and transformed boundary conditions are found to be reciprocal of the ekman number ( k^2 =1/ek), non-dimensional pressure gradient parameter (px), hartmann number ( m^2 ), grashof number (gr), magneticfield inclination (θ) and oscillation frequency ( ω). complex variables are employed to solve the two-point boundaryvalue problem.