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An analytical and numerical study of axisymmetric flow around spheroids

Published online by Cambridge University Press:  26 April 2006

Chien-Cheng Chang ,
Biing-Horng Liou  and
Ruey-Ling Chern
Chien-Cheng Chang
Affiliation:
Institute of Applied Mechanics, College of Engineering, National Taiwan University, Taipei 10764, Taiwan, R.O.C.
Biing-Horng Liou
Affiliation:
Institute of Applied Mechanics, College of Engineering, National Taiwan University, Taipei 10764, Taiwan, R.O.C.
Ruey-Ling Chern
Affiliation:
Institute of Applied Mechanics, College of Engineering, National Taiwan University, Taipei 10764, Taiwan, R.O.C.
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Abstract

Axisymmetric viscous flow around ellipsoids of circular section is studied in detail by the method of matched asymptotic expansion and a deterministic hybrid vortex method. The main feature of the hybrid vortex method consists in solving the viscous vorticity equation by interlacing a finite-difference method for diffusion and a vortex-in-cell method for convection and stretching. Numerical results are presented for an ellipsoid of axis ratio 2:1 and the limiting case of a sphere at various Reynolds numbers between 100 and 3000. Special consideration is given to the evaluation of the drag coefficient which is computed with three different approaches, denoted by S, P and V respectively. Particular emphasis is placed on the numerical implications and physical significance of each of these different approaches. Comparisons between numerical and analytical results at small times show very close agreement in each case. Separation angles, wake lengths and stationary drag coefficients for the sphere are also found to be in good agreement with previous results by a finite-difference method and with the standard drag curve.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 219 - 246
Copyright
© 1992 Cambridge University Press

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