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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 149–162
(Mi znsl267)
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Investigation of wave propagation velocities in fluid mixtures
L. A. Molotkov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
In order to determine the wave propagation velocities in the
fluid mixtures, the mixtures are approximated by block
structures. These structures consist of the same cells
containing eight blocks. The pointed out blocks can be filled by
different fluids. In the block structures we carry out the
passage to the limit under conditions that sizes of blocks tend
to zero but relative sizes of blocks remain constant. In common
case the average wave field satisfies equations of anisotropy
fluids. We consider two partial cases of mixtures of two fluids.
In the first case, both fluids are intermixed completely. In the
second case, there are periodic inclusions with one fluid into
other fluid. In both cases, the fluid mixtures are homogeneous
isotropic and the formulas for velocities are obtained. These
formulas determine dependence of the velocities on percentage
composition and on parameters of two mixed fluid. The velocity
of propagation in a fluid mixture cannot be greater than the
greatest velocity but can be less than the least velocity in
mixed fluids.
Received: 16.05.2006
Citation:
L. A. Molotkov, “Investigation of wave propagation velocities in fluid mixtures”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 149–162; J. Math. Sci. (N. Y.), 142:6 (2007), 2605–2612
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https://www.mathnet.ru/eng/znsl267 https://www.mathnet.ru/eng/znsl/v332/p149
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Abstract page: | 215 | Full-text PDF : | 50 | References: | 21 |
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