Heat transport and nonlinear mixed convective nanomaterial slip flow of Walter-B fluid containing gyrotactic microorganisms

Abstract

Here nonlinear mixed convective nanoliquid slip flow of Walter-B fluid is addressed subject to stretched surface with gyrotactic microorganisms. The flow is generated via nonlinear stretched surface. Important slip mechanisms i.e., Brownian and thermophoresis diffusions are considered for the modeling of energy equation. Flow behavior is examined subject to nanofluid with gyrotactic microorganisms. Chemical reaction with activation energy is considered for the analysis of concentration. Suitable transformations leads to nonlinear ordinary differential system. Analytical solutions are made via built-in-Shooting and plotted graphically. The impacts of pertinent variables like viscoelastic parameter, Prandtl number, thermophoresis diffusion, Brownian motion, Chemical reaction, Schmidt number, bio-convection Lewis number, microorganisms concentration difference variable and bio-convection Peclet number on the velocity, temperature, concentration, motile density, skin friction coefficient, Nusselt number and Sherwood number. It is observed that temperature is more subject to higher estimations of Brownian motion and thermophoresis diffusion while decays versus higher values of Prandtl number. Concentration field decays versus higher values of Schmidt number and enhances by increasing the values of activation energy parameter.