Validation of an approximate model for the thermal behavior in acoustically driven bubbles

Date

11/16/2011

Journal Title

Journal ISSN

Volume Title

Publisher

The Journal of the Acoustical Society of America

Abstract

The chemical production of radicals inside acoustically driven bubbles is determined by the local temperature inside the bubbles. Therefore, modeling of chemical reaction rates in bubbles requires an accurate evaluation of the temperature field and the heat exchange with the liquid. The aim of the present work is to compare a detailed partial differential equation model in which the temperature field is spatially resolved with an ordinary differential equation model in which the bubble contents are assumed to have a uniform average temperature and the heat exchanges are modeled by means of a boundary layer approximation. The two models show good agreement in the range of pressure amplitudes in which the bubble is spherically stable.

Description

Keywords

Partial differential equations, Stellar structure and properties, Bubble dynamics, Chemical reaction dynamics, Frequency measurement, Sonochemistry

Citation

Copyright 2011 The Journal of the Acoustal Society of America. Recommended citation: Stricker, Laura, Andrea Prosperetti, and Detlef Lohse. "Validation of an approximate model for the thermal behavior in acoustically driven bubbles." The Journal of the Acoustical Society of America 130, no. 5 (2011): 3243-3251. DOI: 10.1121/1.3626132 URL: https://asa.scitation.org/doi/abs/10.1121/1.3626132 Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).