Volume 4, Number 1, Winter 1996
BOUNDARY LAYER ON A SPHERE IN
AN OSCILLATING VISCOUS FLOW
Abstract. A solution for the boundary-layer flow around
a sphere oscillating along a diameter in a viscous fluid has been
developed in powers of the time from the start of the motion.
The time series is valid past the time when separation occurs
and a number of characteristic flow properties can be calculated
to third order. The surface vorticity and the friction
drag force acting on the sphere are calculated and various estimates
of the time of separation and the distance moved in
this time are obtained. Whenever possible, comparisons with
existing results have been made, and the agreement is excellent.