Approximate Solution for the Heat-Transfer-Controlled Growth of a Steadily Translating Vapor Bubble

The existing analytical solution for the problem of the heat-transfer-controlled growth of a spherical vapor bubble moving with a constant velocity under the assumptions of a thin thermal boundary layer and potential flow results in a complicated integral equation for the bubble radius and is too un...

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Bibliographic Details
Published inHeat transfer engineering Vol. 31; no. 7; pp. 592 - 596
Main Author Shusser, Michael
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Taylor & Francis Group 01.06.2010
Taylor & Francis
Taylor & Francis Ltd
Subjects
Applied sciences
Approximation
Asymptotic properties
Bubbles
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Exact solutions
Flow velocity
Heat transfer
Mathematical analysis
Mathematical models
Multiphase flow
Temperature
Theoretical studies. Data and constants. Metering
Thermal boundary layer
Approximation
Liquid vapor interface
Bubble growth
Superheated liquid
Boiling
Analytical solution
Heat transfer
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Summary:The existing analytical solution for the problem of the heat-transfer-controlled growth of a spherical vapor bubble moving with a constant velocity under the assumptions of a thin thermal boundary layer and potential flow results in a complicated integral equation for the bubble radius and is too unwieldy to be used in multiphase flow models. The goal of this work is to suggest for this problem an approximate solution that gives correct asymptotic behavior and yields a simpler expression for the bubble growth rate. Comparison with the exact solution showed that this way a good approximation can be obtained.
Bibliography:ObjectType-Article-1
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ISSN:0145-7632
1521-0537
DOI:10.1080/01457630903425809