The impulsive swirl of a gas

The motion of a sphere in a viscous gas has been studied since the time of Sir George Gabriel Stokes who explored linear, steady and unsteady flows. While the unsteady Stokes equation is often used to calculate these flows, this continuum treatment cannot capture some key physical phenomena. This includes propulsion of a sphere by temperature gradients on its surface, without convection. Taguchi et al. (J. Fluid Mech., 2021) now calculate the flow generated by the impulsive rotation of a sphere in a gas, a problem first proposed by Stokes, using the linearised Boltzmann-BGK (Bhatnagar, Gross, Krook) equation. This statistical mechanical approach naturally captures continuum through to collisionless flows; the latter occurs even when the gas mean free path is small. The heat flow generated by the sphere is also determined - a non-continuum effect - showing its direction reverses as the flow evolves. The predicted phenomena are yet to be observed in experiment.

Automated summary

The study of a sphere's motion in a viscous gas using the linearised Boltzmann-BGK equation provides a comprehensive understanding of flows, including continuum and collisionless flows. The research also shows that impulsive rotation of a sphere in a gas generates heat flow, with its direction reversing as the flow evolves.