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Fluctuating hydromagnetic natural convection flow past a magnetized vertical surface in the presence of thermal radiation

The effect of radiation on fluctuating hydro-magnetic natural convection flow 
 of viscous, incompressible, electrically conducting fluid past a magnetized 
 vertical plate is studied; when the magnetic field and surface temperature 
 oscillates in magnitude about a constant non zero mean. The numerical 
 solutions have been obtained for different values of radiation parameter (Rd) 
 magnetic Prandtl number (Pm) magnetic force parameter (S) Prandtl number (Pr) 
 and surface temperature ( w q ) in terms of amplitude and phase angle of 
 coefficients of skin friction, rate of heat transfer and current density at 
 the surface of the plate. Moreover, the effects of these parameters on 
 transient coefficients of skin friction, rate of heat transfer and current 
 density have been discussed. The finite difference method for primitive 
 variable transformation and asymptotic series solution for stream function 
 formulation has been used to obtain the numerical solution of the boundary 
 layer flow field.