Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore 560012, India.
Phys Chem Chem Phys. 2013 Jul 14;15(26):10817-23. doi: 10.1039/c3cp50701g. Epub 2013 May 22.
We consider the rotational motion of an elongated nanoscale object in a fluid under an external torque. The experimentally observed dynamics could be understood from analytical solutions of the Stokes equation, with explicit formulae derived for the dynamical states as a function of the object dimensions and the parameters defining the external torque. Under certain conditions, multiple analytical solutions to the Stokes equations exist, which have been investigated through numerical analysis of their stability against small perturbations and their sensitivity towards initial conditions. These experimental results and analytical formulae are general enough to be applicable to the rotational motion of any isolated elongated object at low Reynolds numbers, and could be useful in the design of non-spherical nanostructures for diverse applications pertaining to microfluidics and nanoscale propulsion technologies.
我们研究了在外部扭矩作用下，流体中细长纳米物体的旋转运动。通过对 Stokes 方程的解析解，可以理解实验观测到的动力学，并且推导出了作为物体尺寸和外部扭矩参数函数的动力学状态的显式公式。在某些条件下，Stokes 方程存在多个解析解，通过对其稳定性进行数值分析以及对初始条件的敏感性分析，对这些解析解进行了研究。这些实验结果和解析公式具有足够的通用性，适用于低雷诺数下任何孤立细长物体的旋转运动，对于涉及微流控和纳米推进技术的各种应用的非球形纳米结构的设计可能是有用的。
