The role of bioconvection and Fourier-Fick dynamics in the reactive fluid flow

The current study examines the unsteady squeezing flow of a magnetized Boger fluid through a porous slider, accounting for heat and mass transfer using Fourier’s and Fick’s laws. Thermophoresis, Brownian motion, activation energy, chemical reaction, and bioconvection effects are included to better explain the fluid's physical behaviour. The overall objective is to assess how these parameters affect velocity, temperature, concentration, and Nmicroorganism profiles. Similarity transformations reduce the governing nonlinear equations to ordinary differential equations, which are then solved numerically using the Runge-Kutta-Fehlberg’s Fourth-Fifth order method and a shooting technique. The results show that the magnetic field reduces fluid flow due to the Lorentz force. Brownian motion and thermophoresis can lead to significant variations in temperature and concentration distributions due to nanoparticle motion. The concentration profile rises with intensification in the activation energy parameter, and the microorganism profile declines as the Peclet and Lewis numbers increase. A Taguchi analysis is also conducted to identify which parameters have the greatest impact on heat transfer, and the findings suggest that Brownian motion is the most affected, followed by thermophoresis and Reynolds number, whereas the magnetic parameter is further influenced. The results can be applied in polymer processing, thermal, and bioengineering flows of non-Newtonian fluids.