Onset for Active Swimming of Microorganisms to Shape Their Transport in Turbulent Open Channel Flows

Abstract Research on active particles has primarily focused on transport in relatively weak flows, during which their active swimming plays a significant role. However, in natural or manmade waterways, the ambient flow velocity and water depth can be on the order of approximately 1 m/s and 1 m, resp...

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Main Authors: Zi Wu, Li Zeng, Guangmiao Li, Zheng Gong, Jie Zhan, Weiquan Jiang, Mengzhen Xu, Xudong Fu
Format: Article
Language:English
Published: Wiley 2024-09-01
Series:Water Resources Research
Subjects:
Online Access:https://doi.org/10.1029/2024WR037586
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author Zi Wu
Li Zeng
Guangmiao Li
Zheng Gong
Jie Zhan
Weiquan Jiang
Mengzhen Xu
Xudong Fu
author_facet Zi Wu
Li Zeng
Guangmiao Li
Zheng Gong
Jie Zhan
Weiquan Jiang
Mengzhen Xu
Xudong Fu
author_sort Zi Wu
collection DOAJ
description Abstract Research on active particles has primarily focused on transport in relatively weak flows, during which their active swimming plays a significant role. However, in natural or manmade waterways, the ambient flow velocity and water depth can be on the order of approximately 1 m/s and 1 m, respectively, generating turbulent diffusion that may be strong enough to potentially dominate the transport process, so that the active swimming might be negligible. In this paper, we propose a theoretical framework aiming at identifying the threshold at which the effects of active swimming become significant, under conditions of insufficient data for motion statistics of swimmers. While deriving the governing equation, we find that only the vertical component of the mean swimming has the potential to significantly influence the transport process. This manifests as the characteristic of inducing a non‐uniform vertical concentration distribution, in competition with the mechanism of turbulent diffusion, which leads to a uniform distribution. We obtain the analytical solution for the vertical concentration distribution, with the key dimensionless parameter α representing the interplay between the active swimming and turbulent diffusion. The threshold is found to be approximately at the order of magnitude of α ∼ 0.1, below which active swimming is considered negligible. The theoretical predictions are validated by numerical simulations employing Direct Numerical Simulation and particle tracking methods. Applying the theory to two types of microorganisms transported under different flow conditions suggests that there are typical scenarios where the active swimming is negligible, and the swimmers can be treated as passive particles.
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spelling doaj-art-35fb83c8e2404ef5a512c0c6a27f69722025-08-20T02:09:29ZengWileyWater Resources Research0043-13971944-79732024-09-01609n/an/a10.1029/2024WR037586Onset for Active Swimming of Microorganisms to Shape Their Transport in Turbulent Open Channel FlowsZi Wu0Li Zeng1Guangmiao Li2Zheng Gong3Jie Zhan4Weiquan Jiang5Mengzhen Xu6Xudong Fu7State Key Laboratory of Hydroscience and Engineering Tsinghua University Beijing ChinaState Key Laboratory of Simulation and Regulation of Water Cycle in River Basin China Institute of Water Resources and Hydropower Research Beijing ChinaState Key Laboratory of Hydroscience and Engineering Tsinghua University Beijing ChinaState Key Laboratory of Hydroscience and Engineering Tsinghua University Beijing ChinaState Key Laboratory of Hydroscience and Engineering Tsinghua University Beijing ChinaFaculty of Innovation Engineering National Observation and Research Station of Coastal Ecological Environments in Macao; Macao Environmental Research Institute Macau University of Science and Technology Macao ChinaState Key Laboratory of Hydroscience and Engineering Tsinghua University Beijing ChinaState Key Laboratory of Hydroscience and Engineering Tsinghua University Beijing ChinaAbstract Research on active particles has primarily focused on transport in relatively weak flows, during which their active swimming plays a significant role. However, in natural or manmade waterways, the ambient flow velocity and water depth can be on the order of approximately 1 m/s and 1 m, respectively, generating turbulent diffusion that may be strong enough to potentially dominate the transport process, so that the active swimming might be negligible. In this paper, we propose a theoretical framework aiming at identifying the threshold at which the effects of active swimming become significant, under conditions of insufficient data for motion statistics of swimmers. While deriving the governing equation, we find that only the vertical component of the mean swimming has the potential to significantly influence the transport process. This manifests as the characteristic of inducing a non‐uniform vertical concentration distribution, in competition with the mechanism of turbulent diffusion, which leads to a uniform distribution. We obtain the analytical solution for the vertical concentration distribution, with the key dimensionless parameter α representing the interplay between the active swimming and turbulent diffusion. The threshold is found to be approximately at the order of magnitude of α ∼ 0.1, below which active swimming is considered negligible. The theoretical predictions are validated by numerical simulations employing Direct Numerical Simulation and particle tracking methods. Applying the theory to two types of microorganisms transported under different flow conditions suggests that there are typical scenarios where the active swimming is negligible, and the swimmers can be treated as passive particles.https://doi.org/10.1029/2024WR037586active swimmingmicroorganismTaylor dispersionturbulent flowopen channel
spellingShingle Zi Wu
Li Zeng
Guangmiao Li
Zheng Gong
Jie Zhan
Weiquan Jiang
Mengzhen Xu
Xudong Fu
Onset for Active Swimming of Microorganisms to Shape Their Transport in Turbulent Open Channel Flows
Water Resources Research
active swimming
microorganism
Taylor dispersion
turbulent flow
open channel
title Onset for Active Swimming of Microorganisms to Shape Their Transport in Turbulent Open Channel Flows
title_full Onset for Active Swimming of Microorganisms to Shape Their Transport in Turbulent Open Channel Flows
title_fullStr Onset for Active Swimming of Microorganisms to Shape Their Transport in Turbulent Open Channel Flows
title_full_unstemmed Onset for Active Swimming of Microorganisms to Shape Their Transport in Turbulent Open Channel Flows
title_short Onset for Active Swimming of Microorganisms to Shape Their Transport in Turbulent Open Channel Flows
title_sort onset for active swimming of microorganisms to shape their transport in turbulent open channel flows
topic active swimming
microorganism
Taylor dispersion
turbulent flow
open channel
url https://doi.org/10.1029/2024WR037586
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