Numerical investigation of magnetohydrodynamic bioconvection peristalsis of Powell–Eyring nanofluid

Abstract

The present study focuses on the numerical investigation of the magnetohydrodynamic (MHD) peristaltic movement of Powell- Eyring nanofluid, including traveling gyrotactic microorganisms. The examination of nanofluid flow under the impacts of an applied magnetic field, heat generation, viscous dissipation, and Ohmic heating is a notable aspect of this research. Heat and mass transfer for MHD Powell-Eyring nanofluid with Brownian motion and thermophoresis effects is explored theoretically. Mathematical modeling is facilitated by lubrication theory and resulting system is numerically solved using NDSolve in Mathematica based on the shooting algorithm. Effects of flow parameters on the temperature profile, velocity, gyrotactic microorganisms, mass, and thermal transfer rates are studied and explained through tables and graphs. Results show that temperature distribution is significantly increased due to the enhancement of Hartmann number, Brinkmann number, thermophoresis parameter, and thermal generation parameter. Tabular interpretations of heat and mass transfer rates are provided for variations in different flow quantities.