Two layered immiscible flow of viscoelastic liquid in a vertical porous channel with Hall current, thermal radiation and chemical reaction

Abstract

This investigation deals with the combined effects of Hall current, thermal radiation, heat source and chemical reaction on heat and mass characteristics in a vertical porous channel filled with a two layered viscoelastic liquid under the influence of oscillatory pressure gradient. The exact solution of the governing equations for the fluid velocity, temperature, and concentration are obtained by applying the regular perturbation method with appropriate boundary and interface conditions. The numerical values of the shear stress at the plates are shown in tabular form for various values of the relevant parameters, whereas those of the fluid velocity, temperature, concentration, and rate of heat transfer are displayed graphically. Our analysis indicates that with the raise of first-order chemical reaction and ratio of mass diffusion parameters, the temperature and concentration of the liquid raises. With the raise of Hall parameter the skin friction decreases at the walls of the channel. To validate the analytical results, a comparative study of the numerical evaluation of the closed-form results is performed with the results obtained by shooting technique along with the RK-fourth order method. Graphical results demonstrate that the imposed boundary and interface conditions are satisfied by the flow variables.