Viscous Flow Induced by Slow Rotation of a Sphere

抄録

The steady flow which is induced by the slow rotation of a solid sphere immersed in an infinite incompressible viscous fluid is studied, on the basis of the Navier-Stokes equations. The solution is obtained in the form of power series with respect to the Reynolds number R. By delegating the routine operations to a digital computer, the expansion is proceeded to the order of R¹⁴, in which convergence is found up to about R=12. The vorticity distribution, the pressure and the skin-friction on the sphere surface are displayed, and some flow properties are discussed.