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arXiv 1604.02408cond-mat.soft
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微通道和立方格子障碍物中的Taylor线游动

Taylor line swimming in microchannels and cubic lattices of obstacles

Jan L. Münch, Davod Alizadehrad, Sujin Babu, Holger Stark

摘要:

微生物自然地在微结构流体中移动。利用多粒子碰撞动力学的模拟方法,研究了二维微通道和立方格子障碍物中波动泰勒线的运动,这两种微结构代表了微结构环境的简单形式。在微通道中,泰勒线沿着通道壁以锐角游动,由于与边界壁的流体动力学相互作用,具有明显增强的游动速度。在稀疏障碍网格中,游泳速度也得到提高,而在密集障碍网格中,则出现几何游泳。这种新型游泳的特点是游泳速度大大提高。由于泰勒线必须适合障碍物晶格的自由空间,因此游泳速度接近于沿着泰勒线行进的弯曲波的相速度。当泰勒线在格子中调整其游动运动时,泰勒线选择特定的游动方向,我们通过格子向量对该方向进行分类。当绘制游泳速度与晶格向量大小的关系时,我们所有的数据都在一条主曲线上崩溃。最后,我们还报告了更复杂的轨迹内的障碍格。

英文摘要:

Microorganisms naturally move in microstructured fluids. Using the simulation method of multi-particle collision dynamics, we study an undulatory Taylor line swimming in a two-dimensional microchannel and in a cubic lattice of obstacles, which represent simple forms of a microstructured environment. In the microchannel the Taylor line swims at an acute angle along a channel wall with a clearly enhanced swimming speed due to hydrodynamic interactions with the bounding wall. While in a dilute obstacle lattice swimming speed is also enhanced, a dense obstacle lattice gives rise to geometric swimming. This new type of swimming is characterized by a drastically increased swimming speed. Since the Taylor line has to fit into the free space of the obstacle lattice, the swimming speed is close to the phase velocity of the bending wave traveling along the Taylor line. While adjusting its swimming motion within the lattice, the Taylor line chooses a specific swimming direction, which we classify by a lattice vector. When plotting the swimming velocity versus the magnitude of the lattice vector, all our data collapse on a single master curve. Finally, we also report more complex trajectories within the obstacle lattice.

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