Suction and Injection Impacts on Casson Nanofluid With Gyrotactic Micro-organisms Over a Moving Wedge

Abstract

This work deals with the effects of suction and injection on Casson nanofluid around a moving wedge under the influence of gyrotactic micro-organisms along with viscous and ohmic dissipation. The governing system of highly coupled nonlinear partial differential equations together with assisting boundary conditions is converted by applying suitable similarity transformations, into a set of nonlinear ordinary differential equations. The obtained flow model is solved numerically by bvp4c (matlab) procedure. The accuracy of the flow model under consideration is validated by employing another well-known mathematical technique Runge–Kutta-Fehlberg (RKF) having good agreement while comparing the numerical results obtained by bvp4c for both suction and injection cases. Impacts of various pertinent parameters active in the flow model such as thermophoresis and Brownian motion, moving wedge, magnetic field, viscous and ohmic dissipation are numerically calculated for both suction and injection flow situations and also presented graphically. It is observed that the increase in casson parameter enhances the velocity but declines the density of motile organism, concentration and temperature for suction as well as injection flow case. The impacts of mass transfer rate of gyrotactic micro-organisms, Nusselt and Sherwood numbers for various fluid parameters are numerically presented in tabular form, separately for both suction and injection. One of the important observations of this study is that the suction or injection plays a key role in controlling boundary layer flow and brings stability in the flow. Moreover, rate of heat and mass transfer get enhanced in the existence of gyrotactic micro-organisms. Further, it would be worth mentioning that physical behavior of this flow problem coincides very well with already published literature either graphically or in tabular representation.