Darcy-Forchheimer radiative flow of micropolar nanofluid with Cattaneo-Christov heat flux featuring gyrotactic microorganisms

This manuscript delves into the comprehensive study of the Buongiorno model-based dynamic stretched flow of Micropolar nanofluid embedded in Darcy-Forchheimer structure with gyrotactic microorganisms. The Cattaneo-Christov heat flux model incorporating the impact radiation and heat source is also considered that provide novel features to the flow geometry. The key attention is to investigate the conjoining impacts of these factors over the temperature, mass and motile diffusion rate as these play a critical role in the industrial procedure that encompasses coatings, and polymer processing besides improving the cooling ability in heat radiator, chemical reactors and heat exchanger. The prescribed study on the micropolar nanofluid flow is framed mathematically as a set of coupled partial, and then ordinary differential equations to obtain the findings via MATLAB-based bvp5c approach. The key results revels that an increasing magnetic field parameter enhances the microrotation profile while a higher micropolar fluid factor suppresses it. Inaddition, the thermal distribution improves with higher porosity, radiation, Brownian motion and thermophoresis effect, while it declines with higher thermal relaxation and temperature difference. Furthermore, the mass distribution profile increases with elevated thermophoresis impact but decreases with higher Brownian motion and chemical reaction. In addition to this, the motile microorganism profile drops with increased bioconvection constant, bioconvection Lewis number, and Peclet factor. Moreover, the heat transport rate is enhanced by higher radiation, thermal relaxation and surface suction/injection. The present findings provide significant insights into optimizing heat and fluid flow in engineering and biomedical applications, where controlling microrotation and thermal behavior is crucial for efficiency and performance.