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Hydrodynamic interaction between gas bubbles in liquid
Author(s) -
L. van Wijngaarden,
David J. Jeffrey
Publication year - 1976
Publication title -
journal of fluid mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.72
H-Index - 226
eISSN - 1469-7645
pISSN - 0022-1120
DOI - 10.1017/s0022112076001110
Subject(s) - bubble , momentum (technical analysis) , mechanics , physics , flux (metallurgy) , materials science , finance , economics , metallurgy
A calculation is given of the velocity which a cloud of identical gas bubbles acquires when the liquid in which the cloud is immersed is impulsively accelerated. From the results an expression follows for the effective virtual mass of a bubble in a gas-bubble/liquid mixture. Further consideration is given to that part of the momentum flux in the mixture associated with relative motion between liquid and bubbles. An expression for this quantity is derived which appears to differ from the one used in practice. It is shown that qualitative support for the expression obtained here is provided by experimental observations reported in the literature

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