Effects of Chemical Reaction and free convection on MHD Flow of a non-Newtonian (Rivlin Ericksen) Two-Phase Fluid Through Porous Medium with Time-Dependent Exponentially Reduced Velocities of the channel plates

Abstract

The present investigation is a theoretical analysis of chemical reaction and MHD free convection effects on flow of a non-Newtonian (Rivlin Erickson type) duty gas through a porous medium induced in the motion of a semi-infinite flat plate moving with velocity decreasing exponentially with time. The magnetic field is applied normally to the system of flow. The dust particles in the mixed flow are chemically non-reactive but fluid species are reacting and the homogeneous chemical reaction of the first order is under the consideration.  The two-phase flow model is governed by coupled partial differential equations. The governing PDEs are reduced to ODEs using assumed solutions. The results are carried out for the velocity profiles for the duty fluid, dust particles, concentration profile, and temperature distribution. The effect of various parameters like magnetic field parameter M, permeability parameter K, Prandtl number Pr, visco-elastic parameter, and Schmidt number Sc on the velocity profiles for both the phase the dusty fluid as well as dust particles, temperature distribution, and concentration profile are investigated analytically  and graphical representation is used to explain.