Coriolis Force and Inclination Angle Influences of MHD Flow Over a Spinning Plate Using bvp4c and ANN Prediction

Rotating heat-exchanger surfaces, disc-type cooling systems, and inclined rotating machinery in industrial processes require accurate prediction of heat and mass transfer under combined electromagnetic and rotational effects, a problem that has not previously been addressed in a single unified model together with a fast prediction tool. This study investigates the electro-magnetohydrodynamic flow of a rotating Newtonian nanofluid over an inclined, spinning stretching sheet, incorporating Coriolis force, Lorentz force, viscous dissipation, Joule heating, and a heat source/sink, together with Brownian motion and thermophoresis. This combination of effects is directly representative of rotating heat-exchanger and disc-cooling configurations, where inclination and rotation act simultaneously and cannot be modeled independently. Coriolis force and the surface inclination angle are incorporated into the Navier–Stokes equations governing the flow, and the resulting system of partial differential equations is reduced, via a suitable similarity transformation, to a system of ordinary differential equations, which is solved using the bvp4c solver in MATLAB. The adaptability, robustness, and precision of this method make it an effective tool for addressing such fluid-flow problems. The effects of the Coriolis force, surface inclination angle, heat generation, Prandtl number, and Grashof number on the temperature, concentration, and velocity fields are examined in detail. The present results show highly satisfactory agreement with existing published results. The numerical (bvp4c) results are further used to train an artificial neural network (ANN) model, enabling near-instant prediction of key engineering quantities—skin friction, Nusselt number, and Sherwood number without repeated numerical solution of the governing equations; the ANN predictions show excellent agreement with the bvp4c results. The findings of this study are directly applicable to the design of cooling systems for large industrial machinery and consumer electronics such as laptops and cellphones, as well as to rotating heat-exchanger and disc-cleaning applications, food processing, and other rotating-machinery systems where nanofluid-based cooling is employed.