Abstract:
The boundary-value problem of waves on the surface of a two-phase medium with a nonuniform (exponential) distribution of the disperse phase is formulated. An asymptotic solution of the linear problem in the form of damped progressive waves is obtained. The phase velocity, frequency, and damping decrement for the waves are found. The perturbation of the admixture concentration is determined, which, unlike in the case of a uniform distribution, is manifested even in a linear approximation. Numerical calculations were performed for concrete media.
Keywords:
two-phase medium, wave, free surface, linear problem.
Citation:
V. A. Barinov, N. N. Butakova, “Wave propagation over the free surface of a two-phase medium with a nonuniform concentration of the disperse phase”, Prikl. Mekh. Tekh. Fiz., 45:4 (2004), 26–35; J. Appl. Mech. Tech. Phys., 45:4 (2004), 477–485
\Bibitem{BarBut04}
\by V.~A.~Barinov, N.~N.~Butakova
\paper Wave propagation over the free surface of a two-phase medium with a nonuniform concentration of the disperse phase
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 4
\pages 26--35
\mathnet{http://mi.mathnet.ru/pmtf2395}
\elib{https://elibrary.ru/item.asp?id=17249213}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 4
\pages 477--485
\crossref{https://doi.org/10.1023/B:JAMT.0000030323.51660.c5}
Linking options:
https://www.mathnet.ru/eng/pmtf2395
https://www.mathnet.ru/eng/pmtf/v45/i4/p26
This publication is cited in the following 1 articles:
Ernazar Nysanov, Zhanar Kemelbekova, Anar Makhatova, Aiman Kozhabekova, Sabyr Kozhabayev, D. Nazarov, A. Juraeva, “The features of mathematical and computer modeling of the flow of three-phase media in open channels”, E3S Web Conf., 474 (2024), 02014
Citation in format AMSBIB
Contact us: