A Study of Effects of H–H Quartic Auto Catalytic Reaction with Equal Diffusivity in the Swirling Flow Exterior to a Rotating Cylinder

In this study, we investigate the influence of quartic auto catalysis with equal diffusivity in the flow past a rotating cylinder. The flow-thermal fields are modeled using partial differential equations (PDEs), assuming a homogeneous–heterogeneous reaction. The resulting flow-thermal equations are appropriately ordered and solved using the BVP4c function in MATLAB. Our analysis focuses on examining the effects of varying the Reynolds number, magnetic field, radiation, and homogeneous–heterogeneous reaction parameters on the velocity, temperature, and concentration of the bulk fluid. Through extensive simulations, we find that the concentration, temperature, and velocity of the homogeneous bulk fluid are predominantly determined by the Reynolds number. We observe that higher Reynolds numbers lead to increased mixing and enhanced fluid motion, resulting in higher concentrations and temperatures. Moreover, the strength parameters associated with the homogeneous–heterogeneous reaction significantly favor the auto catalysis reaction at the surface of the rotating cylinder, indicating a self-catalytic process. To validate our findings, we compare our results with earlier studies that investigated reduced cases. Remarkably, our obtained results exhibit excellent agreement with these prior studies, further bolstering the reliability and accuracy of our research.