MHD Darcy-Forchheimer flow due to gyrotactic microorganisms of Casson nanoparticles over a stretched surface with convective boundary conditions

Abstract

Abstract In the current article, the augmentation of heat transmission for non-Newtonian Casson nanoparticles is investigated with motile gyrotactic microorganisms, magnetohydrodynamic (MHD), and thermal radiation upon a stretched sheet. An extended Darcy-Forchheimer model along with convective boundary conditions is also applied to the flow system. To convert these coupled nonlinear fluid flow expressions into ordinary differential expression, the concept of similarity transformation is employed. The modified coupled nonlinear set of differential expression is solved analytically by employing the HAM technique. The mathematical program Mathematica is used to manage the complexities of computations. It is established in this study that the velocity distribution is reducing the function of the inertial, porosity, and magnetic parameters. Additionally, the motile density of microorganisms displays diminishing conduct for developing estimations of bioconvection Lewis and Peclet numbers. It is further established in this study that there is an augmentation in Nusselt number and skin friction coefficient with a corresponding increase in nonlinear radiation and magnetic parameters. In order to ensure the validity of the HAM solution, we have determined numerical solutions for modeled equations with the help of boundary conditions by using ND-Solve in Mathematica-10. It is established that there is pretty fine concurrence between both solutions that ensure the validity of our solution by HAM.