Steady flow of a simple fluid around a rotating sphere

Autor: Fosdick, R. L., Kao, B. G.
Zdroj: Rheologica Acta; November 1980, Vol. 19 Issue: 6 p675-697, 23p
Abstrakt: Summary We give a solution to the problem of the motion of a homogeneous incompressible simple fluid around a submerged sphere which is in steady rotation about a fixed axis. The solution is complete up to fourth order in the angular velocity. By way of some explicit computations we exhibit, in a series of figures, some possible streamline fields that show secondary flow regions in the shapes of equatorial tori and/or polar caps. The aim of this study is to give support to the view that many of the non-trivial secondary flow regions that are observed in the laboratory for this problem are well within theoretical description. In our computations there are several material constants to be chosen and we make no claim that all of those we have used have any correspondence with a particular fluid substance. However, certain of those in figures 7 and 8 have been taken from the experimental literature. A discussion of our results is contained in Section 5.
Databáze: Supplemental Index