Thermally radiative flow of MHD Powell-Eyring nanofluid over an exponential stretching sheet with swimming microorganisms and viscous dissipation: A numerical computation

Abstract

This work deals with the study of mass and heat transmission in nanofluid flow in the Powell-Eyring model over a sheet that is exponentially stretched with motile microorganisms. Additionally, viscous dissipation and radiation sources are considered. The governing flow expressions are remodeled into nonlinear ordinary differential equations by implementing the appropriate transformations. The remodeled equations are numerically computed by using the bvp4c technique via MATLAB. The various flow parameters are used to investigate and explain in depth the nanofluid velocity, thermal, nanoparticle volume fraction, and motile microbe density profiles. It is noted that the nanofluid velocity decreases with enlarging the values of the magnetic field parameter. The fluid thermal profile develops for greater quantities of radiation thermophoresis and Brownian motion parameters. The nanoparticle concentration decays when the Prandtl number and Lewis number are increased. The motile microbe density profiles suppress when heightening the values of the Peclet number, bioconvection Lewis number, and bioconvection parameter. The magnetic field parameter leads to a decrease in local skin friction, heat, and mass transfer rates.

Keywords

• Powell-Eyring fluid
• Nanofluid
• MHD
• Bioconvection
• Exponentially stretching sheet