Simulations are carried out to elucidate the mixed convection analysis from a swirling hot spherical object suspended in power-law fluids within laminar regime. Governing equations are solved computationally under the following criteria: Grashof number \(\left(10\le Gr\le {10}^{3}\right)\) , Prandtl number \(\left(0.72\le Pr\le 50\right)\) , power-law index \(\left(0.2\le n\le 1.8\right)\) and dimensionless swirling speed \(\left(0\le S\le 4\right)\) . Firstly, a thorough dynamic behaviour of the temperature and flow fields is illustrated in terms of thermal plumes. The plume experiences a perfectly vertically upward movement closer to the hot wall when the sphere is stationary \(\left(S=0\right)\) . Concomitantly, the heated plume is thrown radially due to the presence of swirling motion \(\left(S\ne 0\right)\) . A large, thick plume is observed as the working fluid traverses from shear-thinning \((n<1)\) to shear-thickening \((n>1)\) fluids. We have also reported the typical behaviour of local Nusselt number \(\left({Nu}_{\theta }\right)\) on sphere for different combinations of \(Gr\) and \(Pr\) . We have predicted the typical pattern of \({Nu}_{\theta }\) from front \(\left(\theta =0^\circ \right)\) to rear \(\left(\theta =180^\circ \right)\) stagnation point of the stationary/revolving sphere. The average Nusselt number \((Nu)\) rising gradient is comparatively larger at greater \(S\) than lower \(S\) for a constant \(Pr\) , \(n\) and \({D}^{*}\) . Additionally, it is crucial to note herein that a decreasing average Nusselt number trend is anticipated at a greater value of diameter ratio. Lastly, \(Nu\) is suitably correlated as a function of the abovementioned pertinent parameters using computed data points. The proposed correlation works satisfactorily within ±6% of considered data points.
