Singular viscoelastic perturbation to soft lubrication

Bharti BhartiUiO, LOMA, Quentin FerreiraLOMA, Aditya JhaLOMA, Andreas CarlsonUiO, David S. DeanLOMA, Yacine AmaroucheneLOMA, Tak Shing ChanUiO, Thomas SalezLOMA
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Abstract

Soft lubrication has been shown to drastically affect the mobility of an object immersed in a viscous fluid in the vicinity of a purely elastic wall. In this theoretical study, we develop a minimal model incorporating viscoelasticity, carrying out a perturbation analysis in both the elastic deformation of the wall and its viscous damping. Our approach reveals the singular-perturbation nature of viscoelasticity to soft lubrication. Numerical resolution of the resulting non-linear, singular and coupled equations of motion reveals peculiar effects of viscoelasticity on confined colloidal mobility, opening the way towards the description of complex migration scenarios near realistic polymeric substrates and biological membranes.
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软润滑的奇异粘弹性扰动
研究表明,软润滑会极大地影响浸没在粘性流体中的物体在纯弹性壁附近的移动性。在这项理论研究中,我们建立了一个包含粘性弹性的最小模型,对壁的弹性变形及其粘性阻尼进行了扰动分析。我们的方法揭示了粘弹性对软润滑的扰动性质。对由此产生的非线性、奇异和耦合运动方程的数值解析揭示了粘弹性对封闭胶体流动性的奇特影响,为描述现实聚合物基底和生物膜附近的复杂迁移情况开辟了道路。
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