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Reduced-Order Modeling of Diffusive Effects on the Dynamics of Bubbles

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Title Reduced-Order Modeling of Diffusive Effects on the Dynamics of Bubbles
 
Creator Preston, A.
Colonius, T.
Brennen, C. E.
 
Subject Caltech Library Services
 
Description The Rayleigh-Plesset equation and its extensions have been used extensively to model spherical bubble dynamics, yet radial diffusion equations must be solved to correctly capture damping effects due to mass and thermal diffusion. The latter are too computationally intensive to implement into a continuum model for bubbly cavitating flows, since the diffusion equations must be solved at each position in the flow. The goal of the present research is to derive a reduced-order model that accounts for thermal and mass diffusion. Motivated by results of applying the Proper Orthogonal Decomposition to data from full radial computations, we derive a model based upon estimates of the average heat transfer coefficients. The model captures the damping effects of the diffusion processes in two ordinary differential equations, and gives better results than previous models.
 
Date 2003-11
 
Type Conference or Workshop Item
PeerReviewed
 
Format application/pdf
 
Identifier http://authors.library.caltech.edu/140/1/PRE221.pdf
Preston, A. and Colonius, T. and Brennen, C. E. (2003) Reduced-Order Modeling of Diffusive Effects on the Dynamics of Bubbles. In: Fifth International Symposium on Cavitation (CAV2003), 1-4 November 2003, Osaka, Japan. http://resolver.caltech.edu/CaltechAUTHORS:PREcav03 <http://resolver.caltech.edu/CaltechAUTHORS:PREcav03>
 
Relation http://resolver.caltech.edu/CaltechAUTHORS:PREcav03
http://authors.library.caltech.edu/140/