Radiative flow of Casson fluid over a moving wedge filled with gyrotactic microorganisms

Abstract

The present study investigates the effects of thermophoresis and Brownian motion on two-dimensional magnetohydrodynamics (MHD) radiative Casson fluid past a moving wedge filled with gyrotactic microorganisms. Numerical results are presented graphically as well as in tabular form with the aid of Runge-Kutta and Newton’s methods. Effects of pertinent parameters on velocity, temperature, concentration and density of motile organism distributions are presented and discussed for two flow cases namely suction and injection. The obtained results are validated by comparing with the available previous studies and found good agreement. The thermal and concentration boundary layer are significantly modulated with the rise of thermophoresis and Brownian motion parameters for both suction and injection flow cases. The increasing values of thermophoresis parameter boost up the temperature and concentration field while thermal boundary layer decreased for increasing the Brownian motion parameter. With the rise of Casson fluid parameter, the velocity increases but the temperature, concentration and density of motile organism is found to decrease in both suction and injection flow cases. The influence of the pertinent parameters on the local shear stress coefficient, local Nusselt and local Sherwood numbers are discussed with the assistance of the table for two flow cases separately (suction and injection). The thermal radiation parameter boost up the local Sherwood number, gyrotactic microorganisms mass transfer rate and depreciates the local Nusselt number for the suction and injection flow cases. An important finding of the present investigation is that the gyrotactic microorganisms can enhance the heat and mass transfer rate.