Filament mechanics in a half-space via regularised Stokeslet segments
Filament mechanics in a half-space via regularised Stokeslet segments
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通过正则化 Stokeslet 段实现半空间中的细丝力学
DOI：
10.1017/jfm.2019.723
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发表时间：
2019
影响因子：
3.7
通讯作者：
Walker B
中科院分区：
文献类型：
--
作者：
Walker B
我们提出了一个概括的有效的数值框架，通过离散化最近开发的，非本地的积分方程制剂，将正则化的Stokeslets与半空间边界条件，在许多应用中的限制几何形状的重要性的动机，建模流体细丝的相互作用。我们继续利用这个框架来研究细长的不可伸展的细丝移动到边界附近的阻力，首先用一个相对简单的例子，评估边界附近的阻力理论的准确性，使用正则化的斯托克斯列片段。这突出表明，阻力理论并不准确地量化细丝动态在一系列的情况下，即使与边界的分析校正。然而，有一个值得注意和重要的例外，即在平行于边界的平面内的运动，在那里保持准确性。特别是，这证明了明智地使用阻力理论，在审查机制的细丝和单鞭毛microswimmer与平面鞭毛图案平行于边界移动。我们继续应用这里开发的数值框架，考虑如何长丝弹性流体动力学可以影响阻力边界附近，详细分析了复杂的响应被动悬臂式长丝的振荡流。特别是，我们的文件中出现的一个不对称的周期性跳动的被动丝在特定的参数制度，这是非常相似的动力和反向中风所表现出的能动纤毛。此外，由流体-结构相互作用引起的细丝跳动的形态的这些变化也引起细丝的流体动力学阻力的显著增加。
We present a generalisation of efficient numerical frameworks for modelling fluid–filament interactions via the discretisation of a recently developed, non-local integral equation formulation to incorporate regularised Stokeslets with half-space boundary conditions, as motivated by the importance of confining geometries in many applications. We proceed to utilise this framework to examine the drag on slender inextensible filaments moving near a boundary, firstly with a relatively simple example, evaluating the accuracy of resistive force theories near boundaries using regularised Stokeslet segments. This highlights that resistive force theories do not accurately quantify filament dynamics in a range of circumstances, even with analytical corrections for the boundary. However, there is the notable and important exception of movement in a plane parallel to the boundary, where accuracy is maintained. In particular, this justifies the judicious use of resistive force theories in examining the mechanics of filaments and monoflagellate microswimmers with planar flagellar patterns moving parallel to boundaries. We proceed to apply the numerical framework developed here to consider how filament elastohydrodynamics can impact drag near a boundary, analysing in detail the complex responses of a passive cantilevered filament to an oscillatory flow. In particular, we document the emergence of an asymmetric periodic beating in passive filaments in particular parameter regimes, which are remarkably similar to the power and reverse strokes exhibited by motile cilia. Furthermore, these changes in the morphology of the filament beating, arising from the fluid–structure interactions, also induce a significant increase in the hydrodynamic drag of the filament.
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纤毛运动
DOI：
--
发表时间：
--
期刊：
The Yale Journal of Biology and Medicine
影响因子：
--
作者：
Problems By;R. Leriche;A. P. Authorized;English Trans;Sh Erwood Moore;J. A. Key;Illustrated;St;Louis;C. V. The;Co Mosby;W. M. Phelps;J. Gray
通讯作者：
J. Gray
影响因子：
4.6
作者：
Schulman, R. D.;Backholm, M.;Dalnoki-Veress, K.
通讯作者：
Dalnoki-Veress, K.
影响因子：
4.6
作者：
Guglielmini, Laura;Kushwaha, Amit;Stone, Howard A.
通讯作者：
Stone, Howard A.
影响因子：
2
作者：
Curtis, M. P.;Kirkman-Brown, J. C.;Gaffney, E. A.
通讯作者：
Gaffney, E. A.
影响因子：
64.8
作者：
Yonekura, K;Maki-Yonekura, S;Namba, K
通讯作者：
Namba, K