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arXiv 1407.5239cond-mat.soft
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边界曲率对薄膜排水和滑移长度测量的影响

Boundary Curvature Effect on Thin-film Drainage and Slip Length Measurements

Angbo Fang

摘要:

两个曲面之间的薄液膜排水是许多流体动力学测量的基本过程,其中Vinogradova的公式在流体-固体界面处发生流动滑移时发挥了核心作用。通过严格的数量级分析,我们揭示了曲率对边界流的贡献的重要性,忽略了曲率。维诺格拉多娃的结果被发现大大低估了滑动引起的流体动力排水力的减少。我们的理论可以发挥至关重要的作用,区分有限滑移和无滑移和量化的流动滑移的程度在流固表面,这是一个基本的,但有争议的问题,在流体动力学。此外,定性不同于以前的理论,我们的理论预测一个有限的流体动力学排斥力的两个疏水颗粒接触,从而使粒子碰撞发生在有限的时间内没有任何额外的吸引力的表面力。这一发现对与许多工业技术以及地球上的自然现象相关的颗粒凝聚、吸附和沉降过程具有深刻而直接的影响。

英文摘要:

The thin-liquid film drainage between two curved surfaces is a fundamental process for many hydrodynamic measurements, for which Vinogradova's formula has played a central role when flow slip occurs at fluid-solid interfaces. By performing a rigorous order-of-magnitude analysis, we reveal the importance of the curvature contribution to boundary flow, neglected sofar. Vinogradova's result is found to considerably underestimate the slip-induced reduction of the hydrodynamic drainage force. Our theory can play a crucial role in distinguishing finite-slip from no-slip and quantifying the degree of flow slip at fluid-solid surfaces, which is a fundamental but controversial issue in fluid dynamics. Moreover, qualitatively different from previous theories, our theory predicts a finite hydrodynamic repulsive force for two hydrophobic particles in touch, thus allowing particle collision to occur in a finite time without any additional attractive surface forces. This finding has deep and immediate implications on particle coagulation, adsorption and sedimentation processes relevant for numerous industrial technologies as well as natural phenomena on the earth.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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