Cattaneo-Christov diffusion flux and homogeneous/heterogeneous reactions on exploration of heat transport between stretched coaxial cylinder: A Taguchi optimization technique approach

The distinction between homogeneous and heterogeneous processes is essential for comprehending their influence on heat diffusion flow within the framework of Cattaneo-Christov heat flux (CC-HF) models. Motivated by the limitations of classical Fourier heat flux model, the present work aims to examine the flow of circulation of liquid across stretched coaxial cylinders, utilizing the CC-HF model and both homogeneous and heterogeneous reactions (H-H). Furthermore, the momentum equation takes a magnetic field, and the temperature equation takes a heat source/sink (H-SS) effect. The two-dimensional flow equations are transformed into ordinary differential equations (ODEs) by comparable transformations. The converted ODEs are subsequently explored through numerical solutions adopting the Runge-Kutta-Fehlberg (RKF-45) method. To optimize the rate of thermal distribution in a system, Taguchi optimization technique was introduced. The results indicate a decrease in velocity for the magnetic parameter and a rise in velocity for the curvature parameter. Without a thermal relaxation parameter, the heat source/sink and magnetic parameters improve thermal dispersion. Both homogeneous and heterogeneous factors result in a decrease in mass transfer. Further, the Taguchi analysis reveal that magnetic parameter influence on rate of heat transfer with delta value of 21.238. The combined parametric values M = 1.5 , γ = 0.1 , Q 1 = 0.3 & λ * = 0.07 contributes majorly in the rate of heat transfer with SNR value 29.7100. The outcomes of the work are help in polymer extraction, catalytic reactors, thermal insulation operators and improved thermal management systems.