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Viscous flows past spherical gas bubbles

Published online by Cambridge University Press:  29 March 2006

D. C. Brabston
Affiliation:
Data Systems Department, TRW Systems Group, Redondo Beach, California 90278
H. B. Keller
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena

Abstract

Computations of the steady viscous flow past a fixed spherical gas bubble are reported for Reynolds numbers in the range 0·1 [les ] R [les ] 200. Good agreement with Moore's (1963) asymptotic theory for the drag coefficient is obtained for R [les ] 40 and with the well-known small-R theory for R [les ] ½. The method of series truncation is used to reduce the problem to a nonlinear two-point boundary-value problem, which is then solved by an accurate and efficient finite-difference procedure.

Type
Research Article
Copyright
© 1975 Cambridge University Press

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