Thermal Performance of Cattaneo-Christov Heat Flux Model on 3D Micropolar Fluid with Motile Microbes Across a Permeable Surface

Micropolar fluids are a specialized class of fluids exhibiting microstructural behavior. Their unique characteristics make them suitable for various applications like biomedical engineering, coating technology, and oil and gas exploration, and production. Also, these fluids provide new possibilities. Their microstructural properties enable precise control over flow and transport phenomena at extremely small dimensions, allowing us for advancements in areas such as nanofluidic sensing and lab-on-a-chip devices. The present article aims to develop a mathematical model to explore the three-dimensional characteristics of micropolar nanofluids flow over a porous stretchable surface. The energy equation is formulated using the Cattaneo-Christov heat flux model rather than the traditional Fourier’s law. Buongiorno fluid model is implemented to examine the thermophoresis and Brownian diffusion effects. The influence of thermal relaxation time on the boundary layer can be predicted using this model; chemical reaction and bio-convection phenomena also incorporated in the concentration and motile organism equations. Utilizing the suitable similarity approach reduces the classical governing equations into system of highly nonlinear differential equations, which are then tackled numerically by implementing the shooting technique and MATLAB software. The novelty of the current study reveals that fluid mobility is slowed down by the magnetic field. Thermophoresis diffusion raises the temperature and concentration of dimensionless fluids, resulting in thicker thermal and concentration boundary layers, while thermal and mass buoyancy forces accelerate it. The concentration exponent, chemical reaction parameter, and Brownian motion parameter all exhibit the opposite trend with respect to temperature and concentration. A comparison of our numerical method with the current results confirms its validity and accuracy.