Stratified radiative mixed convective couple-stress nanoliquid flows comprised of gyrotactic microbes with magnetic field and heat source

In this work the non-homogeneous model for the nanofluid flow is formulated to examine the consequences of Fick’s and Fourier’s laws on bioconvective MHD couple-stress nanoliquid flows across a stretching surface under the significances of multiple stratified conditions and activation energy. Both the concentrations of motile microbes and solid nanoparticles are unified flow system. Furthermore, the collective effects of the Cattaneo–Christov (CC) heat flux and thermal radiation are also analyzed. To remove the complexity from the mathematical model, the similarity conversions are presented properly to change the resulting system of PDEs into a nonlinear set of ODEs. The transform set of ODEs is then numerically solved through the parametric continuation method (PCM) in MATLAB software. To validate our results, the outcomes are compared with bvp4c package. It can be perceived that the fluid velocity decreases with the impact of mixed convection and magnetic effects. The energy field enriches with the variation of thermophoresis effect, thermal radiation, buoyancy ratio factor, and Rayleigh number. Furthermore, the mass profile diminishes under the consequences of Lewis number, whereas enhanced with the effect of thermophoresis factor and concentration stratification Biot number.