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Viscous Streaming from an Oscillating Spherical Bubble
Michael S. Longuet-Higgins
Proceedings: Mathematical, Physical and Engineering Sciences
Vol. 454, No. 1970 (Feb. 8, 1998), pp. 725-742
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/53203
Page Count: 18
You can always find the topics here!Topics: Streaming, Velocity, Bubbles, Sine function, Boundary conditions, Lagrangian function, Boundary layers, Vorticity, Sonoluminescence, Coordinate systems
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Asymmetric patterns of streaming around a single sonoluminescent bubble have been observed by Lepoint-Mullie and co-workers. The present paper considers theoretically the viscous streaming from a spherical bubble undergoing small radial and lateral oscillations simultaneously, using an extension of the method of Davidson & Riley so as to include radial oscillations. On the assumption that the radial and lateral oscillations are of comparable magnitude, it is shown that the presence of the radial oscillations greatly enhances the streaming. The streaming is greatest when the phase difference between the oscillations is ± 90 degrees, and reverses in direction when the phase difference passes through zero or 180 degrees.
Proceedings: Mathematical, Physical and Engineering Sciences © 1998 Royal Society