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Abstract Numerical investigation of the collective interaction of bubbles in clusters of different configurations was carried out. The mathematical model was used, which accounted for the compressibility and viscosity of the liquid as well as the hydrodynamic interaction between the bubbles. The heat exchange of gas bubbles with liquid was handled within the framework of a two-temperature scheme. An expression for the heat flux to the bubble unit surface was used, which makes it possible to describe the heat exchange of gaseous bubbles with the liquid in a fairly wide range of the values of the liquid pressures and temperatures. The behavior of an individual bubble in the collective of bubbles at an instantaneous compression and at a periodic disturbance of different frequencies was investigated. It is shown that under certain conditions, considerable compression ratios and, as a consequence, high temperatures and temperatures are reached for some bubbles. The influence of the cluster configuration has been investigated. It is shown by the examples of a cluster of three embedded dodecahedra, linear and stochastic clusters that the configuration of the cluster may affect strongly its dynamics.
Thermophysics and Aeromechanics – Springer Journals
Published: Jul 1, 2015
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