Mathematical Analysis of an Approximation Model for a Spherical Cloud of Cavitation Bubbles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73586405" target="_blank" >RIV/61989592:15310/18:73586405 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10440-017-0132-3" target="_blank" >https://link.springer.com/article/10.1007%2Fs10440-017-0132-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10440-017-0132-3" target="_blank" >10.1007/s10440-017-0132-3</a>

Result language
angličtina
Original language name
Mathematical Analysis of an Approximation Model for a Spherical Cloud of Cavitation Bubbles
Original language description
In the paper we introduce a new approximation scheme for modelling a spherical cloud of cavitation bubbles based upon a model developed in (Wang and Brennen in J. Fluids Eng. 121(4):872–880, 1999) which consists of fully nonlinear continuum mixture equations coupled with the Rayleigh-Plesset equation for dynamics of the bubbles. We prove existence of a unique, local-in-time solution to the equations using the Banach fixed-point theorem which also provides us with the convergent scheme for a numerical simulation of the solution. We further demonstrate acquired numerical results.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA13-23550S" target="_blank" >GA13-23550S: Experimental research and mathematical modelling of unsteady phenomena induced by hydrodynamic cavitation</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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