Oblique Magneto-Thermal Flow with Non-Fourier Heat Transfer over a Radiative Rotating Disk

Flows over rotating disks are central to numerous engineering applications, including turbines, rotating sensors, and advanced cooling devices, where the incoming fluid often strikes the disk at an angle. This study examines magnetohydrodynamic (MHD) oblique slip flow toward a rotating disk, accounting for critical effects such as velocity slip, thermal slip and thermal radiation. In particular, the Cattaneo–Christov heat flux model is used to capture thermal relaxation phenomena, frequently overlooked in prior analyses, while employing a uniform transverse magnetic field to regulate both momentum and heat transfer. Using similarity transformations, the governing nonlinear equations are reduced to ordinary differential equations and solved through a shooting method combined with a robust finite-difference scheme. Three-dimensional streamline visualizations are exploited to elucidate the influence of slip and oblique incidence on the near-disk flow structure. The results reveal three principal effects: the rotational flow intensifies near the disk surface, the stagnation point shifts with velocity slip, and the main-flow velocity increases while cross-flow velocity diminishes as slip rises. Thermal analysis indicates that the boundary-layer temperature decreases under thermal slip and radiation, whereas local heat transfer is significantly enhanced. Furthermore, the skin-friction coefficient grows with disk rotation speed but declines with higher velocity slip, highlighting the coupled influence of rotational and slip effects on overall momentum and heat transfer.