Significance of non-Fourier heat flux on the maxwell fluid flow over an inclined vertical plate: A multiple linear regression analysis

This study numerically investigates the significance of non-Fourier heat conduction on the magnetohydrodynamic (MHD) flow of a Maxwell fluid over an inclined vertical plate, incorporating the effects of thermal radiation and couple stresses. The Cattaneo-Christov heat flux model is employed to account for finite thermal relaxation time, moving beyond the classical Fourier's law. The governing equations are transformed into a system of ordinary differential equations and solved using the bvp4c solver in MATLAB. The results indicate that the fluid velocity declines with increasing Weissenberg and couple stress parameters, while the temperature profile is enhanced by thermal radiation but diminished by the thermal relaxation parameter. Furthermore, a multiple linear regression analysis yields predictive models, revealing that the skin friction coefficient increases with the magnetic field and couple stress parameters, and the Nusselt number is augmented by the Prandtl number and thermal radiation.