Oblique Magneto-Thermal Flow with Non-Fourier Heat Transfer over a Radiative Rotating Disk
Abdou Alzubaidi1, Khalid Mahmud2, Rashid Mehmood2,*, Siddra Rana3, Mohammed Alkinidri4
1 Department of Mathematics, College of Sciences, King Khalid University, Abha, Saudi Arabia
2 Department of Mathematics, Faculty of Natural Sciences, HITEC University, Taxila Cantt, Taxila, Pakistan
3 Department of Mathematics, Faculty of Basic Sciences, University of Wah, Wah Cantt, Pakistan
4 Department of Mathematics, College of Science & Arts, King Abdulaziz University, Rabigh, Saudi Arabia
* Corresponding Author: Rashid Mehmood. Email: 
Fluid Dynamics & Materials Processing https://doi.org/10.32604/fdmp.2026.075928
Received 11 November 2025; Accepted 06 March 2026; Published online 29 April 2026
Abstract
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.
Keywords
Slip oblique flow; rotating disk; Cattaneo-Christov: magneto hydrodynamics; heat transfer; 3D stream patterns
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