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Type: Journal article
Title: Vortical flow. Part 2. Flow past a sphere in a constant-diameter pipe
Author: Mattner, T.
Joubert, P.
Chong, M.
Citation: Journal of Fluid Mechanics, 2003; 481(481):1-36
Publisher: Cambridge Univ Press
Issue Date: 2003
ISSN: 0022-1120
Statement of
T. W. Mattner, P. N. Joubert and M. S. Chong
Abstract: This paper describes an experimental and numerical investigation of concentrated vortex flow past a sphere in a constant-diameter pipe. As the swirl was increased at a fixed sphere Reynolds number of approximately 1100, the length of the mean downstream separation bubble decreased. For a small range of swirl intensity, an almost stagnant separation bubble formed on the upstream hemisphere. A further increase in swirl caused the bubble to become unstable and develop into an unsteady spiral disturbance. At very high swirl the downstream separation bubble was eliminated and an unsteady separation zone extended far upstream. Calculations of the vorticity field from surface fits to azimuthal and axial velocity data suggest that upstream separation is caused by the distortion of vortex filaments in the diverging flow approaching the sphere. Numerical solutions of steady inviscid axisymmetric flow past a sphere exhibit a fold in the vicinity of upstream separation. It is suggested that this accounts for the extreme sensitivity encountered in the experiments.
Rights: © 2003 Cambridge University Press
RMID: 0020063952
DOI: 10.1017/S0022112003003811
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Appears in Collections:Mathematical Sciences publications

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