A BIOCONVECTION MODEL FOR MHD FLOW AND HEAT TRANSFER OVER A POROUS WEDGE CONTAINING BOTH NANOPARTICLES AND GYROTATIC MICROORGANISMS

Abstract

This paper is dedicated to analyze the flow of a nanofluid over a porous moving wedge in the presence of gyrotactic microorganisms. Magnetohydrodynamic (MHD) effects coupled with the viscous dissipation are taken into consideration. The passive control model is used to formulate the problem. Suitable similarity transforms are employed to transform the equations governing the flow into a set of ordinary differential equations. Solution of the transformed system is obtained numerically using a well-known Runge–Kutta–Fehlberg (RKF) method coupled with shooting technique. Influence of parameters involved on velocity, temperature, concentration and the motile microorganisms density profiles are highlighted using a graphical aid. Expressions for skin friction coefficient, Nusselt number, Sherwood number and the motile microorganisms density number are obtained and presented graphically. For the validity of results obtained, a comparison is also presented with the existing results.