Modes of self-organization of diluted bubbly liquids in acoustic fields: One-dimensional theory

Nail A. Gumerov, Iskander S. Akhatov

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)

    Abstract

    The paper is dedicated to mathematical modeling of self-organization of bubbly liquids in acoustic fields. A continuum model describing the two-way interaction of diluted polydisperse bubbly liquids and acoustic fields in weakly-nonlinear approximation is studied analytically and numerically in the one-dimensional case. It is shown that the regimes of self-organization of monodisperse bubbly liquids can be controlled by only a few dimensionless parameters. Two basic modes, clustering and propagating shock waves of void fraction (acoustically induced transparency), are identified and criteria for their realization in the space of parameters are proposed. A numerical method for solving of one-dimensional self-organization problems is developed. Computational results for mono- and polydisperse systems are discussed.

    Original languageEnglish
    Pages (from-to)1190-1202
    Number of pages13
    JournalJournal of the Acoustical Society of America
    Volume141
    Issue number2
    DOIs
    Publication statusPublished - 1 Feb 2017

    Fingerprint

    Dive into the research topics of 'Modes of self-organization of diluted bubbly liquids in acoustic fields: One-dimensional theory'. Together they form a unique fingerprint.

    Cite this