This article is cited in 1 paper

Special class of solutions of the kinetic equation of a bubbly fluid

G. Russo^a, V. M. Teshukov^b, A. A. Chesnokov<sup>b

a</sup> University of Catania, 95125, Catania, Italy
^b Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk

Abstract: A new class of solutions is constructed for the kinetic model of bubble motion in a perfect fluid proposed by Russo and Smereka. These solutions are characterized by a linear relationship between the Riemann integral invariants. Using the expressions following from this relationship, the construction of solutions in the special class is reduced to the integration of a hyperbolic system of two differential equations with two independent variables. Exact solutions in the class of simple waves are obtained, and their physical interpretation is given.

Keywords: bubbly fluid, kinetic equation, hyperbolicity, exact solutions.

UDC: 532.591+517.948

Received: 25.08.2004

 English version: Journal of Applied Mechanics and Technical Physics, 2005, 46:2, 176–184

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