Thermal radiation of Walter-B magneto bioconvection nanofluid due to the stretching surface under convective condition and heat source/sink: A semi-analytical technique for the stagnation point

Abstract

This paper investigates the characteristics of convective magnetized flow towards stagnant point across stretchable sheet. The governing equation of the Walter-B fluid model described the rheology of fluid. Buongiorno's theory is examined to elucidate the consequence of Brownian movement along the thermophoretic effect, and motile microorganisms are used to enhance the strength of nanomaterial. The nonlinear flow of fluid PDEs is transmitted into ODEs through suitable transmission. The converted model equations are tackled through a Homotopic approach The physical quantities like motile density profile, thermal field, velocity, drag friction, Nusselt number, Sherwood number, concentration of nanoparticles and motile microbes are displayed in graphical and tabular form. It is observed that enhancing the fluid parameter mounts the velocity field and drag friction. The heat source/sink, Brownian motion, Biot number, and radiation parameter lead to enhancement in the thermal field while decay in the Prandtl number. The concentration of nanoparticles reduces with greater Scimdth and chemical reaction but increases with thermophoretic number. The motile density field reduces as the Bioconvection Lewis number increases. Moreover, compared with previous published results and achieved an outstanding agreement.