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Initial flow field over an impulsively started circular cylinder

Published online by Cambridge University Press:  29 March 2006

M. Bar-Lev  and
H. T. Yang
M. Bar-Lev
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles
H. T. Yang
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles
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Abstract

The initial flow field of an incompressible, viscous fluid around a circular cylinder, set impulsively to move normal to its axis, is studied in detail. The nonlinear vorticity equation is solved by the method of matched asymptotic expansions. Analytic solutions for the stream function in terms of exponential and error functions for the inner flow field, and of circular functions for the outer, are obtained to the third order, from which a uniformly valid composite solution is found. Also presented are the vorticity, pressure, separation point and drag. These quantities agree with the numerical computations of Collins & Dennis. Extended solutions developed by Padé approximants indicate that higher than third-order approximations will yield only minor improvements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 4 , 23 December 1975 , pp. 625 - 647
Copyright
© 1975 Cambridge University Press

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