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

L. Stricker; Laura Stricker; Andrea Prosperetti; Detlef Lohse

doi:10.1121/1.3626132

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

L. Stricker, Laura Stricker, Andrea Prosperetti, Detlef Lohse

Research output: Contribution to journal › Article › Academic › peer-review

55 Citations (Scopus)

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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.

Original language	Undefined
Pages (from-to)	3243-3251
Number of pages	9
Journal	The Journal of the Acoustical Society of America
Volume	30
Issue number	5
DOIs	https://doi.org/10.1121/1.3626132
Publication status	Published - 2011

Keywords

IR-79057
METIS-279953

Access to Document

10.1121/1.3626132

http://asadl.org/jasa/resource/1/jasman/v130/i5/p3243_s1

Cite this

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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.",

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AU - Prosperetti, Andrea

AU - Lohse, Detlef

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N2 - 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.

AB - 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.

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