基于流线的正弦粗糙度流体润滑模型

IF 2.3 4区 工程技术 Q2 INSTRUMENTS & INSTRUMENTATION Microfluidics and Nanofluidics Pub Date : 2024-04-15 DOI:10.1007/s10404-024-02721-3
Haruki Okazaki, Shintaro Takeuchi
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引用次数: 0

摘要

本文提出了一种方法,用于确定性地获得在以平壁和以正弦波表示的粗糙表面为边界的通道中斯托克斯流的稳定润滑压力。利用离粗糙表面足够远的流线来计算基于流线的润滑方程,并将流线上的速度作为边界条件。在润滑方程的求解过程中,通过虚拟地将流线移向平壁,可以得到平壁上的压力,然后通过考虑高阶项的润滑模型从壁压中恢复压力的壁面法向变化。所提出的方法适用于粗糙度由单个正弦波和多个正弦波叠加表示的通道中的润滑流。通过与分析解的比较,确定了所提方法的有效性,并解释了波叠加的适用范围,即表面轮廓中的最低波数分量与较高波数分量充分隔离。虽然问题设置本质上禁止应用传统的雷诺润滑方程,但本研究为服从雷诺润滑方程的压力和高阶项的作用提供了新的理解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Fluid lubrication model over sinusoidal roughness with streamline-based approach

A method is proposed to deterministically obtain steady lubrication pressure for the Stokes flow in a channel bounded by a flat wall and a surface with roughness represented by sinusoidal waves. A streamline sufficiently far away from the rough surface is used to formulate a streamline-based lubrication equation with the velocity on the streamline, and the velocities on the streamline is imposed as a boundary condition. In the solution of the lubrication equation, by virtually moving the streamline towards the flat wall, the pressure on the flat wall is obtained, and then the wall-normal variation of the pressure is recovered from the wall pressure by a lubrication model that considers higher order terms. The proposed method is applied to lubrication flows in channels with roughness represented by a single sinusoidal wave and a superposition of several sinusoidal waves. Through comparison with analytical solutions, the validity of the proposed method is established, and the applicable range of superposition of waves is explained that lowest-wavenumber component in surface profile is sufficiently isolated from higher-wavenumber components. Although the problem setting intrinsically prohibits the application of the conventional Reynolds lubrication equation, this study provides new understandings for the pressure obeying the Reynolds lubrication equation and the role of the higher-order terms.

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来源期刊
Microfluidics and Nanofluidics
Microfluidics and Nanofluidics 工程技术-纳米科技
CiteScore
4.80
自引率
3.60%
发文量
97
审稿时长
2 months
期刊介绍: Microfluidics and Nanofluidics is an international peer-reviewed journal that aims to publish papers in all aspects of microfluidics, nanofluidics and lab-on-a-chip science and technology. The objectives of the journal are to (1) provide an overview of the current state of the research and development in microfluidics, nanofluidics and lab-on-a-chip devices, (2) improve the fundamental understanding of microfluidic and nanofluidic phenomena, and (3) discuss applications of microfluidics, nanofluidics and lab-on-a-chip devices. Topics covered in this journal include: 1.000 Fundamental principles of micro- and nanoscale phenomena like, flow, mass transport and reactions 3.000 Theoretical models and numerical simulation with experimental and/or analytical proof 4.000 Novel measurement & characterization technologies 5.000 Devices (actuators and sensors) 6.000 New unit-operations for dedicated microfluidic platforms 7.000 Lab-on-a-Chip applications 8.000 Microfabrication technologies and materials Please note, Microfluidics and Nanofluidics does not publish manuscripts studying pure microscale heat transfer since there are many journals that cover this field of research (Journal of Heat Transfer, Journal of Heat and Mass Transfer, Journal of Heat and Fluid Flow, etc.).
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