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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 149–162 (Mi znsl267)  

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
References:
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
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2605–2612
DOI: https://doi.org/10.1007/s10958-007-0148-8
Bibliographic databases:
UDC: 550.34
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Mol06}
\by L.~A.~Molotkov
\paper Investigation of wave propagation velocities in fluid mixtures
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 149--162
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2252992}
\zmath{https://zbmath.org/?q=an:1188.76245}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2605--2612
\crossref{https://doi.org/10.1007/s10958-007-0148-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247261575}
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  • https://www.mathnet.ru/eng/znsl/v332/p149
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