Soret and Thermal Radiation Effects on Oscillatory Magnetohydrodynamic Flow of Viscoelastic Fluid in a Porous Channel

In this paper, we study the impact of thermodiffusion (Soret) and thermal radiation on time-dependent incompressible, electrically conducted magnetohydrodynamic oscillatory flow of viscoelastic fluid in a channel filled with porous medium. The leading equations are converted to ODEs by using the appropriate transformations. These equations are solved analytically by employing MATLAB code, and results are revealed via graphs for velocity, temperature, and concentration boundary layers. Observation highlights that Reynolds number, magnetic parameter, and viscoelastic parameter reduce the fluid velocity. Heat source parameter enhances the fluid temperature, whereas Soret effect lowers the concentration of the fluid. Moreover, the evaluation of skin friction, the Nusselt number, and the Sherwood number is done in tabular form. The novelty of this work lies in expanding the work of Ibrahim et al. by including effect of heat source and Soret effect in MHD viscoelastic fluid flow.