Cattaneo–Christov double diffusion and bioconvection in magnetohydrodynamic three-dimensional nanomaterials of non-Newtonian fluid containing microorganisms with variable thermal conductivity and thermal diffusivity

Abstract

Inspired by the latest deeds of nanotechnology and biomedical sciences and their plentiful features in the science and engineering sectors, we developed a mathematical model for the magnetohydrodynamic, steady, incompressible bio-convection flow of micropolar Casson Cross nanofluid (MCCNF) via a nonlinear stretchable surface. Novel attributes regarding heat and mass transport phenomenon are retained including the Brownian motion and thermophoresis dispersion. The impact of nonlinear thermal radiation and Arrhenius activation energy along the chemical reaction is taken into account. The conversion variables are used to alter the system of PDEs coupled with nonlinear differential equations. The Bvp4c built-in function MATLAB is used along with the Lobatto-IIIA formula to equip the reduced set of ordinary differential equations (ODEs). Graphs have been designed to investigate the behavior of flow parameters via velocity components, micro rotation distribution, heat profile, concentration, and microorganism field. It is deceptive that axial velocity is upsurged as the mixed convection parameter augments. The numerical simulation of bio-convective non-Newtonian fluid flow containing nanoparticles and microorganisms with bioconvective applications configured by a linear stretchable surface is scrutinized for the first time.