流体力学の未解決問題を研究者が解明 (Researchers solve a fluid mechanics mystery)

ad

2025-02-03 カリフォルニア大学サンタバーバラ校 (UCSB)

カリフォルニア大学サンタバーバラ校(UCSB)の研究チームは、インクと石鹸の混合物が牛乳で満たされた迷路を「解く」現象のメカニズムを解明しました。マランゴニ効果と呼ばれるこの現象は、界面活性剤の添加によって生じるような表面張力の勾配がある場合に発生し、その結果、液体は表面張力の低い領域から表面張力の高い領域に引っ張られる。研究者らは、牛乳中に存在する界面活性剤がインクと石鹸の混合物と相互作用し、迷路内の異なる経路に対して異なる抵抗を生じさせることを発見しました。これにより、インクは最も抵抗の少ない経路、つまり出口に向かって進むことができます。この知見は、複雑なネットワーク内での流体輸送や薬物送達の戦略改善に寄与する可能性があります。

<関連情報>

複雑な分岐ネットワークにおける不均一な広がりをもたらす外因性-内因性界面活性剤相互作用 Exogenous–Endogenous Surfactant Interaction Yields Heterogeneous Spreading in Complex Branching Networks

Richard Mcnair, Fernando Temprano-Coleto, François J. Peaudecerf, Frédéric Gibou, Paolo Luzzatto-Fegiz, Oliver E. Jensen, and Julien R. Landel
Physical Review Letters  Published 23 January, 2025
DOI:https://doi.org/10.1103/PhysRevLett.134.034001

流体力学の未解決問題を研究者が解明 (Researchers solve a fluid mechanics mystery)

Abstract

Experiments have shown that surfactant introduced to a liquid-filled maze can find the solution path. We reveal how the maze-solving dynamics arise from interactions between the added surfactant and endogenous surfactant present at the liquid surface. We simulate the dynamics using a nonlinear model solved with a discrete mimetic scheme on a graph. Endogenous surfactant transforms local spreading into a nonlocal problem with an omniscient view of the maze geometry, key to the maze-solving dynamics. Our results offer insight into surfactant-driven transport in complex networks such as lung airways.

 

微量の界面活性剤が超疎水性表面の抗力低減を著しく制限する可能性 Traces of surfactants can severely limit the drag reduction of superhydrophobic surfaces

François J. Peaudecerf, Julien R. Landel, Raymond E. Goldstein, and Paolo Luzzatto-Fegiz
Proceedings of the National Academy of Sciences  Published:June 27, 2017
DOI:https://doi.org/10.1073/pnas.1702469114

Significance

Whereas superhydrophobic surfaces (SHSs) have long promised large drag reductions, experiments have provided inconsistent results, with many textures yielding little or no benefit. Given the vast potential impact of SHSs on energy utilization, finding an explanation and mitigating strategies is crucially important. A recent hypothesis suggests surfactant-induced Marangoni stresses may be to blame. However, paradoxically, adding surfactants has a barely measurable effect, casting doubt on this hypothesis. By performing surfactant-laden simulations and unsteady experiments we demonstrate the impact of surfactants and how extremely low concentrations, unavoidable in practice, can increase drag up to complete immobilization of the air–liquid interface. Our approach can be used to test other SHS textures for sensitivity to surfactant-induced stresses.

Abstract

Superhydrophobic surfaces (SHSs) have the potential to achieve large drag reduction for internal and external flow applications. However, experiments have shown inconsistent results, with many studies reporting significantly reduced performance. Recently, it has been proposed that surfactants, ubiquitous in flow applications, could be responsible by creating adverse Marangoni stresses. However, testing this hypothesis is challenging. Careful experiments with purified water already show large interfacial stresses and, paradoxically, adding surfactants yields barely measurable drag increases. To test the surfactant hypothesis while controlling surfactant concentrations with precision higher than can be achieved experimentally, we perform simulations inclusive of surfactant kinetics. These reveal that surfactant-induced stresses are significant at extremely low concentrations, potentially yielding a no-slip boundary condition on the air–water interface (the “plastron”) for surfactant concentrations below typical environmental values. These stresses decrease as the stream-wise distance between plastron stagnation points increases. We perform microchannel experiments with SHSs consisting of stream-wise parallel gratings, which confirm this numerical prediction, while showing near-plastron velocities significantly slower than standard surfactant-free predictions. In addition, we introduce an unsteady test of surfactant effects. When we rapidly remove the driving pressure following a loading phase, a backflow develops at the plastron, which can only be explained by surfactant gradients formed in the loading phase. This demonstrates the significance of surfactants in deteriorating drag reduction and thus the importance of including surfactant stresses in SHS models. Our time-dependent protocol can assess the impact of surfactants in SHS testing and guide future mitigating designs.

1700応用理学一般
ad
ad
Follow
ad
タイトルとURLをコピーしました