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Waves in liquids with vapour bubbles

Published online by Cambridge University Press:  21 April 2006

R. I. Nigmatulin ,
N. S. Khabeev  and
Zuong Ngok Hai
R. I. Nigmatulin
Affiliation:
Institute for North Development Problems, Siberian Branch of the USSR Academy of Sciences, 625003, Tyumen, box. 2774, USSR
N. S. Khabeev
Affiliation:
Institute of Mechanics, M.V. Lomonosov Moscow University, Moscow V-234, USSR
Zuong Ngok Hai
Affiliation:
Institute of Mechanics, The National Centre for Scientific Research of the Socialist Republic of Vietnam, Hanoi
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Abstract

An investigation of wave processes in liquids with vapour bubbles with interphase heat and mass transfer is presented. A single-velocity two-pressure model is used which takes into account both the liquid radial inertia due to medium volume changes, and the temperature distribution around the bubbles. An analysis of the microscopic fields of physical parameters is aimed at closing the system of equations for averaged characteristics. The original system of differential equations of the model is modified to a form suitable for numerical integration. An elliptic equation is obtained to determine the field of the mixture average pressure at an arbitrary time through the known fields of the remaining quantities. The existence of the steady structure of shock waves, either monotonic or oscillatory, is proved. The effect of the initial conditions, shock strength, volume fraction, and dispersity of the vapour phase and of the thermophysical properties of the phases on shock-wave structure and relaxation time is studied. The influence of nonlinear, dispersion and dissipative effects on the wave evolution is also investigated. The shock adiabat for reflected waves is analysed. The results obtained have proved that the interphase heat and mass transfer determined by the thermal diffusivity of the liquid greatly influences the wave structure. The possible enhancement of disturbances in the region of their initiation is shown. The model has been tested for suitability and the results of calculations have been compared with experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 186 , January 1988 , pp. 85 - 117
Copyright
© 1988 Cambridge University Press

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