A wave equation model for retrograde media with a bubble structure

V. G. Gasenko, V. E. Nakoryakov

Research output: Contribution to journalArticlepeer-review


A nonlinear wave equation is obtained for liquid-vapor mixtures with regard to arbitrary change of equilibrium sound speed in a mixture with growth and condensation of vapor bubbles, which has a limit transition to a wave equation for pure liquid at full collapse of vapor cavities. A particular case of a collapsing wave equation (CWE) of retrograde media is considered, e.g., liquid-vapor media with low vaporization heat and low dissipation, observed near the critical liquid-vapor point, where the main effect is variable sound speed. Based on the CWE numerical solutions it is shown that in such liquid-vapor media, one can observe previously unknown nonlinear wave structures with depression waves.

Original languageEnglish
Pages (from-to)264-269
Number of pages6
JournalJournal of Engineering Thermophysics
Issue number4
Publication statusPublished - 2014
Externally publishedYes

ASJC Scopus subject areas

  • Environmental Engineering
  • Modelling and Simulation
  • Condensed Matter Physics
  • Energy Engineering and Power Technology

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