Role of bioconvection and activation energy on MHD flow of Maxwell’s nanofluid with gyrotactic microorganisms in porous media: The Cattaneo–Christov model

This study examines and analyzes the impact of MHD and bioconvection on Maxwell’s nanofluid flow in a porous medium that contains gyrotactic microorganisms. In addition, more study on chemically reactive activation energy and Cattaneo–Christov heat flux is conducted, and the conclusions from this research are presented. The bioconvection flow of Maxwell nanofluids over a stretched sheet is presented by highly nonlinear partial differential equations, which are reduced to ordinary differential equations using suitable similarity transformations. A shooting method based on the Runge–Kutta technique is used to overcome the issue. The outcomes are graphically represented and explored numerically in detail for the relevant parameters’ impact on the velocity, temperature, concentration, and motile microorganisms profiles. Results reveal that the velocity profile is decreased by increasing the magnetic parameter, while those enhanced by the mixed convection parameters. The thermal boundary thickness and temperature profile negatively correlate with the thermal relaxation time and Prandtl number and are proportional to the magnetic parameter. Boosting the Brownian motion parameter, Deborah number, and thermophoresis parameter improves heat transport. The activation energy and Prandtl parameters show an upward trend in concentration profiles. The density of the motile microorganisms is a decreasing function of Lewis and Peclet numbers.