Stagnation Point Flow of Bioconvective MHD Nanofluids over Darcy Forchheimer Porous Medium with Thermal Radiation and Buoyancy Effect

This article inspects the quantitative aspects of stagnation point flow of MHD nanofluid. The novelty of the present numerical investigation is to consider bioconvective MHD stagnation point flow of nanofluid in non-Darcy porous ambience. The mathematical model comprehends bioconvection phenomenon caused by motile gyrotactic micro-organisms, thermal radiation and buoyancy effects, and fluid flow is encased in Darcy Forchheimer porous environment. The governing non-linear partial differential equations of the fluid flow are established in accordance with aforesaid presumptions and are reduced into ordinary differential equations with significant similarity transformation. Numerical solutions of the mathematical model are solved using Fifth order Runge–Kutta-Felhberg method with shooting technique and exhibited with graphical description for pertinent parameters on velocity, temperature, nanoparticle concentration and density of micro-organisms. Major outcome of present study shows velocity profiles decline for porous parameter and inertia co-efficient whereas bioconvection Lewis number, Peclet number and micro-organism difference parameter exhibits a weakening response for density of micro-organism profile. Comparison of numerical outcomes for Nusselt number with erstwhile published research results are attempted and presented.