Darcy–Forchheimer model of auto-catalytic involving rotating micropolar fluid with hall current effect: Backpropagation of Taguchi methodology approach

This study investigates the optimization of auto-catalytic heat transfer in micropolar fluid flows between two rotating plates under the influence of a transverse magnetic field. The main goal is to improve heat transfer by carefully studying how micro-rotation, Hall currents, chemical reactions, and effects of porous materials interact, using the Taguchi method. We develop a comprehensive mathematical model based on Partial Differential Equations (PDEs) to describe the coupled momentum, angular momentum, and energy transport phenomena. The model incorporates non-Newtonian fluid behavior, micro-rotational dynamics, and auto-catalytic reactions within a Darcy–Forchheimer porous medium. Using the Taguchi optimization technique, the study identifies optimal combinations of dimensionless parameters that maximize heat transfer efficiency. Graphical and numerical analyses are conducted to evaluate the individual and combined effects of physical parameters on flow and thermal characteristics. The results demonstrate excellent agreement with established theoretical models, validating the reliability of the proposed approach. Finally, the results show that the Taguchi method improves thermal performance, providing useful information for designing and managing engineering systems that use micropolar fluids in biomedical, industrial, and energy-related fields.