Stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming
Protoplasmic streaming in plant cells is directly visible in the cases of Chara corallina and Nitella flexilis, and this streaming is understood to play a role in the transport of biological materials. For this reason, related studies have focused on molecular transportation from a fluid mechanics v...
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craippubl:10.1063/5.0019225 2024-06-23T07:54:49+00:00 Stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming Egorov, Vladislav Maksimova, Olga Andreeva, Irina Koibuchi, Hiroshi Hongo, Satoshi Nagahiro, Shinichiro Ikai, Toshiyuki Nakayama, Madoka Noro, Shuta Uchimoto, Tetsuya Rieu, Jean-Paul National Institute of Technology, Sendai College Institute of Fluid Science, Tohoku University 2020 http://dx.doi.org/10.1063/5.0019225 https://pubs.aip.org/aip/pof/article-pdf/doi/10.1063/5.0019225/13769195/121902_1_online.pdf en eng AIP Publishing Physics of Fluids volume 32, issue 12 ISSN 1070-6631 1089-7666 journal-article 2020 craippubl https://doi.org/10.1063/5.0019225 2024-06-13T04:04:41Z Protoplasmic streaming in plant cells is directly visible in the cases of Chara corallina and Nitella flexilis, and this streaming is understood to play a role in the transport of biological materials. For this reason, related studies have focused on molecular transportation from a fluid mechanics viewpoint. However, the experimentally observed distribution of the velocity along the flow direction x, which exhibits two peaks at Vx = 0 and at a finite Vx(≠0), remains to be studied. In this paper, we numerically study whether this behavior of the flow field can be simulated by a 2D stochastic Navier–Stokes (NS) equation for Couette flow in which a random Brownian force is assumed. We present the first numerical evidence that these peaks are reproduced by the stochastic NS equation, which implies that the Brownian motion of the fluid particles plays an essential role in the emergence of these peaks in the velocity distribution. We also find that the position of the peak at Vx(≠0) moves with the variation in the strength D of the random Brownian force, which also changes depending on physical parameters such as the kinematic viscosity, boundary velocity, and diameter of the plant cells. Article in Journal/Newspaper Nitella flexilis AIP Publishing Physics of Fluids 32 12 |
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English |
description |
Protoplasmic streaming in plant cells is directly visible in the cases of Chara corallina and Nitella flexilis, and this streaming is understood to play a role in the transport of biological materials. For this reason, related studies have focused on molecular transportation from a fluid mechanics viewpoint. However, the experimentally observed distribution of the velocity along the flow direction x, which exhibits two peaks at Vx = 0 and at a finite Vx(≠0), remains to be studied. In this paper, we numerically study whether this behavior of the flow field can be simulated by a 2D stochastic Navier–Stokes (NS) equation for Couette flow in which a random Brownian force is assumed. We present the first numerical evidence that these peaks are reproduced by the stochastic NS equation, which implies that the Brownian motion of the fluid particles plays an essential role in the emergence of these peaks in the velocity distribution. We also find that the position of the peak at Vx(≠0) moves with the variation in the strength D of the random Brownian force, which also changes depending on physical parameters such as the kinematic viscosity, boundary velocity, and diameter of the plant cells. |
author2 |
National Institute of Technology, Sendai College Institute of Fluid Science, Tohoku University |
format |
Article in Journal/Newspaper |
author |
Egorov, Vladislav Maksimova, Olga Andreeva, Irina Koibuchi, Hiroshi Hongo, Satoshi Nagahiro, Shinichiro Ikai, Toshiyuki Nakayama, Madoka Noro, Shuta Uchimoto, Tetsuya Rieu, Jean-Paul |
spellingShingle |
Egorov, Vladislav Maksimova, Olga Andreeva, Irina Koibuchi, Hiroshi Hongo, Satoshi Nagahiro, Shinichiro Ikai, Toshiyuki Nakayama, Madoka Noro, Shuta Uchimoto, Tetsuya Rieu, Jean-Paul Stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming |
author_facet |
Egorov, Vladislav Maksimova, Olga Andreeva, Irina Koibuchi, Hiroshi Hongo, Satoshi Nagahiro, Shinichiro Ikai, Toshiyuki Nakayama, Madoka Noro, Shuta Uchimoto, Tetsuya Rieu, Jean-Paul |
author_sort |
Egorov, Vladislav |
title |
Stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming |
title_short |
Stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming |
title_full |
Stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming |
title_fullStr |
Stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming |
title_full_unstemmed |
Stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming |
title_sort |
stochastic fluid dynamics simulations of the velocity distribution in protoplasmic streaming |
publisher |
AIP Publishing |
publishDate |
2020 |
url |
http://dx.doi.org/10.1063/5.0019225 https://pubs.aip.org/aip/pof/article-pdf/doi/10.1063/5.0019225/13769195/121902_1_online.pdf |
genre |
Nitella flexilis |
genre_facet |
Nitella flexilis |
op_source |
Physics of Fluids volume 32, issue 12 ISSN 1070-6631 1089-7666 |
op_doi |
https://doi.org/10.1063/5.0019225 |
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Physics of Fluids |
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32 |
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12 |
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1802647093103296512 |