Drift mass, multifluid modelling of two-phase bubbly flow and superfluid hydrodynamics

J.A. Geurst

Physica A: Statistical Mechanics and its Applications, 1988, vol. 152, issue 1, 1-28

Abstract: Hamilton's variational principle of least action for the two-fluid hydrodynamics of bubbly liquid/gas mixtures is extended by adding the virtual mass of the gas bubbles as an independent variable. The additional Euler-Lagrange equation, which determines the virtual-mass coefficient, expresses some local internal equilibrium of the two-phase medium. The extended two-fluid model is transformed analytically into a three-fluid model. The drift-mass coefficient, which is defined in a natural way within the frame of the three-fluid model, turns out to be a simple function of the virtual-mass coefficient. In the limit of small void fractions Darwin's thoerem is recovered. Some striking similarities with the two-fluid hydrodynamics of superfluid 4He are pointed out. The new three-fluid model is compared with the models that were proposed recently by Cook and Harlow and by Wallis.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:152:y:1988:i:1:p:1-28

DOI: 10.1016/0378-4371(88)90063-5

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