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Volume 4,     Number 1,     Winter 1996

 

BOUNDARY LAYER ON A SPHERE IN
AN OSCILLATING VISCOUS FLOW
SERPIL KOCABIYIK

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.

 

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