Computational study of thermal radiation and magnetic field effects on Casson fluid flow using Hermite wavelets

This study presents a numerical investigation of steady two-dimensional magnetohydrodynamic (MHD) boundary-layer flow and radiative heat transfer of an incompressible Casson fluid over an exponentially stretching sheet with velocity slip, thermal slip, and wall suction/blowing. Thermal radiation is incorporated using the Rosseland diffusion approximation, and similarity transformations reduce the governing nonlinear partial differential equations to a coupled system of ordinary differential equations. The resulting boundary-value problem is solved using the Hermite Wavelet Method (HWM) after transforming the computational domain to a finite interval. The accuracy and convergence of the method are verified through convergence analysis and comparison with benchmark results. The effects of the Casson, magnetic, thermal radiation, Prandtl, velocity slip, thermal slip, and suction/blowing parameters on the velocity and temperature fields are examined. Increasing the Casson, magnetic, velocity slip, and suction parameters suppresses the velocity, whereas thermal radiation enhances the temperature distribution. Higher Prandtl numbers and stronger suction reduce the thermal boundary-layer thickness and improve heat transfer. An increase in the Casson parameter also enhances wall shear stress and slightly increases the local Nusselt number. The HWM demonstrates good accuracy, stability, and computational efficiency for nonlinear boundary-value problems, with potential applications in polymer extrusion, coating, fiber drawing, metallurgical processing, and thermal management.