Mathematical model of interaction between finite amplitude wave and the liquid particles

Anatoli Vakhguelt

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

This work outlines a mathematical model of the pressure wave propagation in the gas media containing different liquid particles such as water droplets and offers the method to estimate the influence of the energy exchange between phases on the evolution of the wave under different conditions of the interphase interactions. Conservation equations describing the propagation and structure of finite amplitude perturbations in such a medium, with correction for heat transfer and momentum exchange between the phases have been employed to obtain an evolution of the wave profile during of the pressure wave propagation. Such a media is dispersive due to the finite rate of the above exchange processes. The resultant equations in general incorporate integral terms containing the amplitude of the perturbation. The derived equations are capable of describing the evolution of waves at any ratio between time of the internal process and the characteristic period of the pressure wave. The solutions can be used for determining the dissipation of energy of a wave passing through a medium containing liquid droplets. The proposed approach neglects the effect of droplets' temperature influence on the gas bulk. Two extreme cases have been considered, one for long-wave and the other one for short-wave interaction. Final results show that there are analytical solutions for some of the specific cases of the interaction between phases. The finding could be used for estimation of wave dissipation in medium containing different liquid particles.

Original languageEnglish
Title of host publication18th Australasian Coastal and Ocean Engineering Conference 2007 and the 11th Australasian Port and Harbour Conference 2007, COASTS and PORTS 2007
Pages791-796
Number of pages6
Publication statusPublished - 2007
Externally publishedYes
Event18th Australasian Coastal and Ocean Engineering Conference 2007, COASTS 2007 and the 11th Australasian Port and Harbour Conference 2007, PORTS 2007 - Melbourne, VIC, Australia
Duration: Jul 18 2007Jul 20 2007

Other

Other18th Australasian Coastal and Ocean Engineering Conference 2007, COASTS 2007 and the 11th Australasian Port and Harbour Conference 2007, PORTS 2007
CountryAustralia
CityMelbourne, VIC
Period7/18/077/20/07

Fingerprint

Mathematical models
Liquids
Wave propagation
Gases
Conservation
Momentum
Heat transfer
Water
Temperature

ASJC Scopus subject areas

  • Ocean Engineering

Cite this

Vakhguelt, A. (2007). Mathematical model of interaction between finite amplitude wave and the liquid particles. In 18th Australasian Coastal and Ocean Engineering Conference 2007 and the 11th Australasian Port and Harbour Conference 2007, COASTS and PORTS 2007 (pp. 791-796)

Mathematical model of interaction between finite amplitude wave and the liquid particles. / Vakhguelt, Anatoli.

18th Australasian Coastal and Ocean Engineering Conference 2007 and the 11th Australasian Port and Harbour Conference 2007, COASTS and PORTS 2007. 2007. p. 791-796.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Vakhguelt, A 2007, Mathematical model of interaction between finite amplitude wave and the liquid particles. in 18th Australasian Coastal and Ocean Engineering Conference 2007 and the 11th Australasian Port and Harbour Conference 2007, COASTS and PORTS 2007. pp. 791-796, 18th Australasian Coastal and Ocean Engineering Conference 2007, COASTS 2007 and the 11th Australasian Port and Harbour Conference 2007, PORTS 2007, Melbourne, VIC, Australia, 7/18/07.
Vakhguelt A. Mathematical model of interaction between finite amplitude wave and the liquid particles. In 18th Australasian Coastal and Ocean Engineering Conference 2007 and the 11th Australasian Port and Harbour Conference 2007, COASTS and PORTS 2007. 2007. p. 791-796
Vakhguelt, Anatoli. / Mathematical model of interaction between finite amplitude wave and the liquid particles. 18th Australasian Coastal and Ocean Engineering Conference 2007 and the 11th Australasian Port and Harbour Conference 2007, COASTS and PORTS 2007. 2007. pp. 791-796
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