Special class of solutions of the kinetic equation of a bubbly fluid |
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Authors: | G. Russo V. M. Teshukov A. A. Chesnokov |
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Affiliation: | (1) University of Catania, 95125 Catania, Italy;(2) Lavrentev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090 Novosibirsk |
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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.Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 2, pp. 33–43, March–April, 2005. |
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Keywords: | bubbly fluid kinetic equation hyperbolicity exact solutions |
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