City Research Online

Prediction of shock heating during ultrasound-induced bubble collapse using real-fluid equations of state

Bidi, S., Shams, A., Koukouvinis, P. & Gavaises, M. ORCID: 0000-0003-0874-8534 (2023). Prediction of shock heating during ultrasound-induced bubble collapse using real-fluid equations of state. Ultrasonics Sonochemistry, 101, article number 106663. doi: 10.1016/j.ultsonch.2023.106663


Numerical simulations of collapsing air bubbles considering complex and more accurate equations of state (EoS) for estimating the properties of both the liquid and gas are presented. The necessity for utilising such EoSs in bubble collapse simulations is illustrated by the unphysical (spurious) liquid temperature jump formed in the vicinity of the bubble-air interface when simplified EoSs are used. The solved fluid flow equations follow the mechanical equilibrium multiphase method of Kapila. The solver is coded in the AMReX platform, enabling high-performance computation with parallel processing and Adaptive Mesh Refinement for speeding up simulations. It is initially demonstrated that the frequently used Stiffened Gas (SG) EoS overpredicts the liquid temperature at high compression. More sophisticated EoS models, such as the International Association for the Properties of Water and Steam (IAPWS), the Modified Noble Abel Stiffened Gas (MNASG) and a modified Tait EoS introduced here, are also implemented into the flow solver and their differences are highlighted for bubble collapse cases for the first time. Subsequently, application of the developed model to cases of practical interest is showcased. More specifically, simulations of bubble collapse near a solid wall are presented for conditions simulating shock wave lithotripsy (SWL). It is concluded that for such cases, a maximum increase of 25 K of the liquid temperature in contact along the solid wall is caused during the collapse of the air bubble due to shock wave focusing effects. It is also highlighted that the maximum liquid heating varies depending on the initial bubble-wall stand-off distance.

Publication Type: Article
Additional Information: © 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (
Publisher Keywords: Bubble collapse dynamics, Real-liquid EoS, IAPWS data, MNASG, Tait EoS, Shock wave lithotripsy (SWL)
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Departments: School of Science & Technology > Engineering
SWORD Depositor:
[thumbnail of 1-s2.0-S1350417723003759-main.pdf]
Text - Published Version
Available under License Creative Commons: Attribution International Public License 4.0.

Download (6MB) | Preview


Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email


Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login