Unsteady MHD squeezing viscous Casson fluid flow in upright channel with cross-diffusion and thermal radiactive effects

Abstract

The purpose of the present work is to analyse two-dimensional unsteady squeezing Casson fluid flow between porous channel along with cross-diffusion, viscous dissipation, radiation, and chemical reaction effects. To get the results of governing equations which are partial differential equations in nature, we have converted them into ordinary differential equations by utilizing suitable similarity transformation and then applied the optimal homotopy analysis method. The effects of various dimensionless parameters ascended in the velocity, temperature and concentration fields are discussed through graphs. Values of skin friction coefficient, Nusselt number, and Sherwood coefficients are derived and presented in tabular form. Results indicate that with enhancement in the values of the Casson parameter and magnetic parameter, the velocity decreases near the lower plate while it shows reverse behaviour near the upper one. The temperature of the fluid increases with an increase in both radiation parameter as well as with Eckert number while it decreases by augmenting values of the Casson parameter. Soret and Dufour number affect mass and heat transfer rate in reverse manner. Also, concentration decreases when chemical reaction parameter increases.