: In this article, rotational flow across a permeable medium with a variable free stream angular velocity is considered. Main interest is to solve the associated heat/mass transport equations under different situations. Firstly, heat transport phenomena occurring in generalized vortex flow is analyzed under two altered heating approaches, (i) the prescribed surface temperature and (ii) the prescribed heat flux. The vortex motion imposed at infinity is expected to follow a power-law form where denotes the radial coordinate, the disk radius and is a power-law parameter. Assuming similarity solutions, the governing Navier-Stokes equations transform into a series of coupled ODEs which are treated numerically for the aforementioned thermal conditions. Secondly, mass transport phenomena accompanied with activation energy is incorporated for the generalized vortex flow situation. After finding self-similar equations, a numerical solution is furnished by using MATLAB built-in function bvp4c. The results reveal that viscous dissipation significantly enhances thermal fields, while activation energy strongly influences concentration distribution; moreover, physically meaningful solutions require sufficient wall suction, and the power-law index exhibits only a marginal effect on transport characteristics.
Faraz et al. (2026) studied this question.