Rorai C, Zaitsev M, Karabasov S
School of Engineering and Materials Science, Queen Mary University of London, Mile End Road, London E1 4NS, UK.
Nuclear Safety Institute, ul. Bolshaja Tulskaja, 52, 115191 Moscow, Russia.
R Soc Open Sci. 2019 Jan 16;6(1):180745. doi: 10.1098/rsos.180745. eCollection 2019 Jan.
For a sperm-cell-like flagellated swimmer in an unbounded domain, several numerical models of different fidelity are considered based on the Stokes flow approximation. The models include a regularized Stokeslet method and a three-dimensional finite-element method, which serve as the benchmark solutions for several approximate models considered. The latter include the resistive force theory versions of Lighthill, and Gray and Hancock, as well as a simplified approximation based on computing the hydrodynamic forces exerted on the head and the flagellum separately. It is shown how none of the simplified models is robust enough with regards to predicting the effect of the swimmer head shape change on the swimmer dynamics. For a range of swimmer motions considered, the resulting solutions for the swimmer force and velocities are analysed and the applicability of the Stokes model for the swimmers in question is probed.
对于无界域中类似精子细胞的鞭毛游动体，基于斯托克斯流近似考虑了几种不同精度的数值模型。这些模型包括正则化斯托克斯元法和三维有限元法，它们作为所考虑的几种近似模型的基准解。后者包括莱特希尔、格雷和汉考克的阻力理论版本，以及基于分别计算作用在头部和鞭毛上的流体动力的简化近似。结果表明，就预测游动体头部形状变化对游动体动力学的影响而言，没有一个简化模型足够稳健。对于所考虑的一系列游动体运动，分析了游动体力和速度的所得解，并探讨了斯托克斯模型在所讨论的游动体中的适用性。
