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Numerical study of real gas effects during bubble collapse using a disequilibrium multiphase model

Bidi, S., Koukouvinis, F., Papoutsakis, A. , Shams, A. & Gavaises, M. ORCID: 0000-0003-0874-8534 (2022). Numerical study of real gas effects during bubble collapse using a disequilibrium multiphase model. Ultrasonics Sonochemistry, 90, 106175. doi: 10.1016/j.ultsonch.2022.106175


An explicit density-based solver of the Euler equations for inviscid and immiscible gas-liquid flow media is coupled with real-fluid thermodynamic equations of state supporting mild dissociation and calibrated with shock tube data up to 5000 K and 28 GPa. The present work expands the original 6-equation disequilibrium method by generalising the numerical approach required for estimating the equilibrium pressure in computational cells where both gas and liquid phases co-exist while enforcing energy conservation for all media. An iterative numerical procedure is suggested for taking into account the properties of the gas content as derived from highly non-linear real gas equations of state and implemented in a tabulated form during the numerical solution. The developed method is subsequently used to investigate gaseous bubble collapse cases considering both spherical and 2D asymmetric arrangements as induced by the presence of a rigid wall. It is demonstrated that the predicted maximum temperatures are strongly influenced by the equations of state used; the real gas model predicts a temperature reduction in the bubble interior up to 41% space-averaged and 50% locally during the collapse phase compared to the predictions obtained with the aid of the widely used ideal gas approximation.

Publication Type: Article
Additional Information: Copyright 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (
Publisher Keywords: Bubble collapse, Tabulated EoS, Real gas data, Thermal effect
Subjects: Q Science > QD Chemistry
T Technology > TJ Mechanical engineering and machinery
Departments: School of Science & Technology
School of Science & Technology > Engineering
Text - Published Version
Available under License Creative Commons Attribution.

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