Numerical Investigation of Heat and Mass Transfer in Magnetized Bio-Convective Maxwell Nanofluid Stagnation-Point Flow with Activation Energy and Cattaneo–Christov Heat Flux

Thermal management, targeted nano-drug delivery mechanisms, and environmental biosystems are more important for magnetized bio-convective flows of non-Newtonian fluids. Although the transport processes have been studied extensively, the effects of Cattaneo-Christov heat/mass fluxes, Arrhenius activation energy and gyrotactic microorganisms on magnetohydrodynamic (MHD) mixed convective stagnation-point flow of a Maxwell nanofluid thru a porous medium have not been studied until now. To fill this gap, the present study develops a complete mathematical model with Joule heating, thermal radiation, internal heat generation and convective boundary conditions. The similarity transformations are used to convert the governing nonlinear partial differential equations to ordinary differential equations which are then solved numerically by the fourth-order Runge-Kutta method with the MATLAB bvp4c solver. The increase in M from 1.0 to 3.0 decreases the skin friction by 32.6%; The increase in R from 0.5 to 1.5 increases the Nusselt number by 68.6%; The increase in E from 0.2 to 0.6 decreases the Sherwood number by 4.65%; The increase in Lb from 0.5 to 1.5 increases the microbe density gradient by 81.9%. The results provide precise theoretical guidelines for the optimization of heat and mass transport in bio-nanotechnology, advanced cooling systems and pharmaceutical delivery devices.