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Self-similar Rayleigh–Taylor mixing with accelerations varying in time and space
As a ubiquitous paradigm of instabilities and mixing that occur in instances as diverse as supernovae, plasma fusion, oil recovery, and nanofabrication, the Rayleigh–Taylor (RT) problem is rightly regarded as important. The acceleration of the fluid medium in these instances often depends on time an...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
National Academy of Sciences
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9704740/ https://www.ncbi.nlm.nih.gov/pubmed/36375067 http://dx.doi.org/10.1073/pnas.2118589119 |
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author | Abarzhi, Snezhana I. Sreenivasan, Katepalli R. |
author_facet | Abarzhi, Snezhana I. Sreenivasan, Katepalli R. |
author_sort | Abarzhi, Snezhana I. |
collection | PubMed |
description | As a ubiquitous paradigm of instabilities and mixing that occur in instances as diverse as supernovae, plasma fusion, oil recovery, and nanofabrication, the Rayleigh–Taylor (RT) problem is rightly regarded as important. The acceleration of the fluid medium in these instances often depends on time and space, whereas most past studies assume it to be constant or impulsive. Here, we analyze the symmetries of RT mixing for variable accelerations and obtain the scaling of correlations and spectra for classes of self-similar dynamics. RT mixing is shown to retain the memory of deterministic conditions for all accelerations, with the dynamics ranging from superballistic to subdiffusive. These results contribute to our understanding and control of the RT phenomena and reveal specific conditions under which Kolmogorov turbulence might be realized in RT mixing. |
format | Online Article Text |
id | pubmed-9704740 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | National Academy of Sciences |
record_format | MEDLINE/PubMed |
spelling | pubmed-97047402022-11-29 Self-similar Rayleigh–Taylor mixing with accelerations varying in time and space Abarzhi, Snezhana I. Sreenivasan, Katepalli R. Proc Natl Acad Sci U S A Physical Sciences As a ubiquitous paradigm of instabilities and mixing that occur in instances as diverse as supernovae, plasma fusion, oil recovery, and nanofabrication, the Rayleigh–Taylor (RT) problem is rightly regarded as important. The acceleration of the fluid medium in these instances often depends on time and space, whereas most past studies assume it to be constant or impulsive. Here, we analyze the symmetries of RT mixing for variable accelerations and obtain the scaling of correlations and spectra for classes of self-similar dynamics. RT mixing is shown to retain the memory of deterministic conditions for all accelerations, with the dynamics ranging from superballistic to subdiffusive. These results contribute to our understanding and control of the RT phenomena and reveal specific conditions under which Kolmogorov turbulence might be realized in RT mixing. National Academy of Sciences 2022-11-14 2022-11-22 /pmc/articles/PMC9704740/ /pubmed/36375067 http://dx.doi.org/10.1073/pnas.2118589119 Text en Copyright © 2022 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by-nc-nd/4.0/This open access article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND) (https://creativecommons.org/licenses/by-nc-nd/4.0/) . |
spellingShingle | Physical Sciences Abarzhi, Snezhana I. Sreenivasan, Katepalli R. Self-similar Rayleigh–Taylor mixing with accelerations varying in time and space |
title | Self-similar Rayleigh–Taylor mixing with accelerations varying in time and space |
title_full | Self-similar Rayleigh–Taylor mixing with accelerations varying in time and space |
title_fullStr | Self-similar Rayleigh–Taylor mixing with accelerations varying in time and space |
title_full_unstemmed | Self-similar Rayleigh–Taylor mixing with accelerations varying in time and space |
title_short | Self-similar Rayleigh–Taylor mixing with accelerations varying in time and space |
title_sort | self-similar rayleigh–taylor mixing with accelerations varying in time and space |
topic | Physical Sciences |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9704740/ https://www.ncbi.nlm.nih.gov/pubmed/36375067 http://dx.doi.org/10.1073/pnas.2118589119 |
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