Novel treatments for the bioconvective radiative Ellis nanofluids wedge flow with viscous dissipation and an activation energy

Abstract

This paper aims to examine time-dependent magnetohydrodynamic Ellis nanofluids flow over a wedge in the presence of the activation energy, thermal radiation and motile oxytactic microorganisms. New techniques are presented to explore this situation that is depending on expressing the stress tensor as an expansion in the velocity gradients for particularly values of the power-index α(α=0,0.5,1,2). Due the importance of the dynamic viscosity in Ellis's case, the viscous dissipation impacts are not neglected and a stagnation-point is taken place in the flow area. At the wedge surface, the Newtonian heating and passively controlling of the nanoparticles are considered. The transformed governing equations are solved using the Finite Difference Method (FDM) with Blottner algorithm and the obtained results are validated by applying Runge-Kutta method. The main outcomes disclosed that for all values of α, the growing in the material parameter A gives a great enhancement in values of RexCfx. Additionally, the increase in the unsteadiness parameter A1 enhances the forced convection process and hence (NnxRex1/2) , RexCfx and (NuxRex1/2) have higher values.