MHD flow of a visco-elastic fluid in a rotating porous channel with radiative heat

As the phenomenon of flow and heat transfer in channels has many engineering and biological applications like blood flow through arteries, flow in blood oxygenators and design filters, etc. The aim of this investigation is to discuss with heat transfer in the MHD flow of a visco-elastic fluid in a rotating porous channel with radiative heat. The constitutive equations of continuity and energy have been developed taking the above physical conditions into account. The flow phenomenon has been characterized by the fluid parameters like Hartmann number (M), rotation parameter (Ω), Reynolds number (λ), thermal Gransof number (G_r), mass diffusion Grashof number (G_c), non-Newtonian parameter (R_c), Prandtl number (Pr), Schmidt number (S_c), Radiative heat (R) and the permeability parameter (K_p). Introducing complex variable terms in the expansion of velocity function and temperature function, solutions of the corresponding equations have been obtained. Then, the expressions for shear stresses and the rate of heat transfer have been derived. Graphs and tables have been drawn to show the various effects of fluid parameters on the MHD flow of non-Newtonian fluid. It is revealed from the characteristic profiles that the steady flow velocity rises with the value of G_r and G_c both. Similar effect is marked for both suction parameter and the magnetic field strength in case of steady flow. Increase in radiation parameter(R) lowers the secondary flow velocity (f₁). The rise in the external magnetic field strength reduces the secondary flow velocity (f₂). These investigations are in good agreement with the earlier findings by the scientists.