Magnetohydrodynamic Time-Dependent Bio-Nanofluid Flow in a Porous Medium with Variable Thermophysical Properties

In this work, a theoretical model with numerical solution is brought forward for bio-nanofluid varying fluid features over slippery sheet. The partial differential equations (PDEs) involving temperature-dependent quantities have been translated into ordinary (ODEs) by using similarity variables. Numerical verifications done in three different methods: finite difference method, shooting and bvp4c. To figure out the influence of parameters on flows, graphs are plotted velocity, temperature, concentration, microorganism curves. boundary layer thickness profile reduces Schmidt number Peclet number. addition to adding radiative heat flux, we added generation, rate chemical reaction, first-order slip. Adding these new aspects underlying profiles. Moreover, obtained data skin friction coefficient, local Nusselt number, Sherwood density motile microorganisms tabulated against various physical parameters. From results, it apparent that decreases Brownian thermophoretic close agreement published data. Finally, slip conditions significantly when comparison drawn no-slip condition.