Cattaneo-Christov heat flux in MHD Ree-Eyring nanofluid flow via porous medium including entropy optimization and gyrotactic microorganism

The proposed study aims to perform an extensive numerical analysis of the Cattaneo-Christov heat flux model for the magnetohydrodynamic (MHD) flow of Ree-eyring nanofluid through a Darcy-Forchheimer porous medium. This analysis will integrate the effects of Activation energy, gyrotactic microorganisms, entropy optimization, Brownian motion, and Thermophoresis, with a particular focus on the dynamics of flow over a stretching surface. Utilizing the Buongiorno nanofluid model, the research will explore the complex interactions within fluid flow. This investigation is pioneering in its approach, as it combines intricate factors such as heat flux modelling, non-Newtonian fluid behaviour, entropy generation, microbial dynamics, and nano-model effects into a unified numerical framework. By addressing these multifaceted elements, the study aims to advance the understanding of heat and mass transfer in sophisticated fluid systems. The ongoing investigation is conducted using a numerical approach using the bvp5c MATLAB package. The findings are expected to enhance thermal management strategies across diverse applications, including aerospace engineering, electronic cooling, energy systems, and biomedical technologies. It is observed that The Cattaneo-Christov heat flux model, considering finite thermal relaxation, reduces heat distribution promptly. Furthermore, enhanced Lorentz force, Brownian motion, and radiation diffuse heat significantly, while thermophoresis and activation energy boost mass distribution. Also, Increased Peclet and bioconvection Lewis numbers lead to higher motile density due to stronger convection and thermal diffusion. The entropy generation also looks promising with the enhancement in Lorentz force, diffusion factor, Brinkman number, and temperature difference factor.