Hydrodynamic coupling of a cilia–mucus system in Herschel–Bulkley flows

IF 3.6 2区 工程技术 Q1 MECHANICS
Q. Mao, U. D'Ortona, J. Favier
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引用次数: 0

Abstract

The yield stress and shear thinning properties of mucus are identified as critical for ciliary coordination and mucus transport in human airways. We use here numerical simulations to explore the hydrodynamic coupling of cilia and mucus with these two properties using the Herschel–Bulkley model, in a lattice Boltzmann solver for the fluid flow. Three mucus flow regimes, i.e. a poorly organized regime, a swirly regime, and a fully unidirectional regime, are observed and analysed by parametric studies. We systematically investigate the effects of ciliary density, interaction length, Bingham number and flow index on the mucus flow regime formation. The underlying mechanism of the regime formation is analysed in detail by examining the variation of two physical quantities (polarization and integral length) and the evolution of the flow velocity, viscosity and shear-rate fields. Mucus viscosity is found to be the dominant parameter influencing the regime formation when enhancing the yield stress and shear thinning properties. The present model is able to reproduce the solid body rotation observed in experiments (Loiseau et al., Nat. Phys., vol. 16, 2020, pp. 1158–1164). A more precise prediction can be achieved by incorporating non-Newtonian properties into the modelling of mucus as proposed by Gsell et al. (Sci. Rep., vol. 10, 2020, 8405).
赫歇尔-布尔克利流中纤毛-粘液系统的水动力耦合
粘液的屈服应力和剪切稀化特性被认为是人体气道中纤毛协调和粘液运输的关键。在此,我们使用赫歇尔-布克利模型,在流体流动的晶格玻尔兹曼求解器中进行了数值模拟,以探索具有这两种特性的纤毛和粘液的流体力学耦合。通过参数研究观察和分析了三种粘液流动状态,即组织不良状态、漩涡状态和完全单向状态。我们系统地研究了纤毛密度、相互作用长度、宾汉数和流动指数对粘液流态形成的影响。通过研究两个物理量(极化和积分长度)的变化以及流速、粘度和剪切率场的演变,详细分析了该机制形成的基本机制。研究发现,当屈服应力和剪切稀化特性增强时,粘液粘度是影响流态形成的主要参数。本模型能够再现实验中观察到的固体旋转(Loiseau 等人,《自然物理》,第 16 卷,2020 年,第 1158-1164 页)。根据 Gsell 等人的建议(《科学报告》,第 10 卷,2020 年,第 8405 期),将非牛顿特性纳入粘液模型可以实现更精确的预测。
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来源期刊
CiteScore
6.50
自引率
27.00%
发文量
945
审稿时长
5.1 months
期刊介绍: Journal of Fluid Mechanics is the leading international journal in the field and is essential reading for all those concerned with developments in fluid mechanics. It publishes authoritative articles covering theoretical, computational and experimental investigations of all aspects of the mechanics of fluids. Each issue contains papers on both the fundamental aspects of fluid mechanics, and their applications to other fields such as aeronautics, astrophysics, biology, chemical and mechanical engineering, hydraulics, meteorology, oceanography, geology, acoustics and combustion.
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