2013 1(12)

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Gubaydullin A.A.1,2, Gubkin A.S.1,2

1 Khristianovich Institute Of Theoretical And Applied Mechanics SB RAS, Tyumen Branch, Tyumen, Russia
2 Tyumen State University, Tyumen, Russia


Gubaydullin, A.A. and Gubkin, A.S., (2013) Behavior of bubbles in a cluster under acoustic influence, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 363 - 367.


bubble cluster; compression wave; model of dynamic for bubble system; heat exchange of bubble with liquid


Behavior a single bubble in the compression waves into the group of bubbles may differ from the behavior of a single bubble in the infinite liquid due to the collective hydrodynamic interaction. The mathematical model describing the dynamics of the system of bubbles changing radii in the infinite fluid with accounting compressibility and viscosity is given. Heat exchange between gas bubbles and liquid include by two-temperature scheme. The expression for the heat fl ux which allows to describe a heat exchange between the gas bubbles and liquid in a sufficiently wide range of values of the pressure and temperature of the liquid is presented. A numeric simulation of the nonlinear dynamics is done for various confi gurations of bubble clusters by effect of compression wave and harmonic perturbations various frequency. Behavior of the single bubble into the group of bubbles under effect of compression waves is investigated. It is shown that in certain conditions for some bubbles are achieved significant degree of compression and, as a consequence, a significant increase in pressure and temperature. Investigation of the behavior in the compression waves of a single bubble in the team bubbles is done. The example of clusters with three nested dodecahedrons and linear cluster shown that the cluster configuration can have a strong impact on its dynamics.


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