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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 2, Pages 33–43
(Mi pmtf2242)
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This article is cited in 1 scientific paper (total in 1 paper)
Special class of solutions of the kinetic equation of a bubbly fluid
G. Russoa, V. M. Teshukovb, A. A. Chesnokovb a 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.
Received: 25.08.2004
Citation:
G. Russo, V. M. Teshukov, A. A. Chesnokov, “Special class of solutions of the kinetic equation of a bubbly fluid”, Prikl. Mekh. Tekh. Fiz., 46:2 (2005), 33–43; J. Appl. Mech. Tech. Phys., 46:2 (2005), 176–184
Linking options:
https://www.mathnet.ru/eng/pmtf2242 https://www.mathnet.ru/eng/pmtf/v46/i2/p33
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