Wake dynamics and force responses of isolated and tandem rotating spheres at moderate Reynolds numbers
Phys. Rev. Fluids 11, 074101 – Published 21 July, 2026
DOI: https://doi.org/10.1103/5nws-mpcc
Abstract
This study investigates the wake dynamics and force responses of transversely rotating spheres in isolated and tandem configurations at moderate Reynolds numbers (, 300, 1000). Using direct numerical simulations of transitional and weakly turbulent flow, we explore how rotation rate () and interbody spacing (; is sphere diameter) influence wake topology, vortex shedding, and fluid forces. At lower , rotation suppresses unsteadiness, inducing double-threaded vortical structures, whereas at higher , centrifugal effects destabilize shear layers, generating multiscale vortices and weakly turbulent wakes. In tandem configurations, wake-body interactions promote instabilities even when rotation stabilizes the isolated sphere wake. The force coefficients exhibit a nonmonotonic dependence on due to competing effects of Magnus-induced pressure asymmetry, shear layer separation, and wake unsteadiness.