Heat Generation and Thermal Radiation Effects on Magneto Hydrodynamics Non Newtonian Casson Nanofluid with Gyro Tactic Microorganisms Over a Plate, Stagnation and Wedge Through Porous Media

Abstract

The numerical interventions of two dimensional steady flow of MHD Non-Newtonian nanofluids containing the gyro-tactic microorganisms through porous media over a plate, wedge, and stagnation point are highlighted in this paper. Mainly the Peclet number, bioconvection, Brownian motion, thermophoresis, and heat generation impacts are addressed to consolidate thermal and nanofluid concentration conservative equations with passively controlled boundary conditions for three different geometrical conditions of flow over a plate, wedge, and stagnation point. By considering the impacts of the varying pertinent parameters, namely thermophoresis, Brownian motion, Prandtl number, heat generation, chemical reaction, bio convectional and magnetic parameters, results are analysed graphically for the momentum, temperature, nanoparticle volume fractions, and the density of motile microorganisms profile, as well as the local Nusselt and motile microorganism numbers. Relevant similarity transformations are used to obtain the system of ordinary differential equations and the equations are solved numerically by using Bvp4c via MATLAB based on the shooting technique.