Dual Solution of Sisko Nanofluid Flow with Gyrotactic Microorganisms Over Stretching/Shrinking Sheet in Non-Darcy Porous Medium

Abstract

The objective of this paper is to determine the dual solution of bioconvection Sisko nanofluid flow comprising gyrotactic micro-organism enclosed in a porous medium. The flow analysis is incorporated with the presence of Darcy–Forchhemier inertia effect, chemical reaction and magnetohydrodynamic flow over a non-linear stretching sheet. With regard to these assumptions the regulating non-linear partial differential equations for the fluid flow are drafted and turned into ordinary differential equations by means of relevant similarity transformation. Fifth order Runge–Kutta Felhberg method with shooting technique is applied to obtain numerical solution of the transformed ordinary differential equations. Graphs are sketched out to observe and interpret variation in velocity, temperature, nanoparticles concentration and density of micro-organism profiles for respective determining factors. Comparison of the obtained results for local Nusselt number with Prandtl number reveals commendable agreement with earlier reported results. Bioconvection Lewis number, Prandtl number, Peclet number and microorganism difference parameter for escalating values discloses a declining behaviour of motile micro-organism density distribution.