Foam drainage equation in fractal dimensions: breaking and instabilities

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F23%3A00616587" target="_blank" >RIV/60077344:_____/23:00616587 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1140/epje/s10189-023-00368-6" target="_blank" >https://doi.org/10.1140/epje/s10189-023-00368-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epje/s10189-023-00368-6" target="_blank" >10.1140/epje/s10189-023-00368-6</a>

Result language
angličtina
Original language name
Foam drainage equation in fractal dimensions: breaking and instabilities
Original language description
This paper is concerned with the construction of a phenomenological model for drainage of a liquid in foam in fractal dimensions. Our model is based on the concepts of 'product-like fractal measure' introduced to model dynamics in porous media and 'complex fractional transform' which converts a fractal space on a small scale to a smooth space with a large scale. The solution of the fractal foam drainage equation has been approximated using the He's homotopy perturbation method. Qualitative analysis shows that the behavior of the solitonic wave in fractal dimensions differ from the behavior in integer dimensions. This deformation generates instabilities in the foam dynamics, dispersion and spontaneous breaking of the solitonic wave.
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
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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