Stokeslet arrays in a pipe and their application to ciliary transport
Stokeslet arrays in a pipe and their application to ciliary transport
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管道中的斯托克斯莱特阵列及其在纤毛运输中的应用
DOI：
10.1017/s0022112084001300
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发表时间：
1984
影响因子：
3.7
通讯作者：
N. Liron
中科院分区：
文献类型：
--
作者：
N. Liron
研究了圆柱体中纤毛的流体输送问题。离散纤毛的方法是用于建立模型，使用绿色函数，由于在管道中的无限周期性Stokeslet阵列。两个不同的表达式得到的绿色函数，一个通过留数法和其他使用泊松求和公式，每个适合于计算在不同的区域。的Stokeslets的相互作用的研究，看看如何，随着距离的减小，相互作用的变化，从最初分离的封闭涡的连续流。在这个模型中的奇异积分方程的力量，现在被取代的非奇异方程，从而克服了数值困难，在早期的作品。结果发现，在管芯的流动是与时间无关的，并在活塞流和负抛物线剖面之间变化，在泵的范围内。这些结果被认为是由于近场的局部结果。亚层中的流线显示纤毛基部附近的漩涡混合成纤毛尖端附近的均匀流动。
The problem of fluid transport by cilia in a circular cylinder is investigated. The discrete-cilia approach is used in building the model, using the Green function due to an infinite periodic Stokeslet array in a pipe. Two different expressions are obtained for the Green function, one via a residue method and the other using the Poisson summation formula each amenable for computation in a different region. Interaction of the Stokeslets is investigated to see how, as distance decreases, interaction changes from initially separated closed vortices to a continuous flow. The singular integral equations for the forces in this model are now replaced by non-singular equations, thus overcoming the numerical difficulties in earlier works. It is found that in the pipe core the flow is time-independent and varies between a plug flow and a negative parabolic profile, in the pumping range. These results are seen to be local results due to the near field. Streamlines in the sublayer show eddies near the cilia bases blending into a uniform flow near the cilia tips.