Zhao Shunliu, Povitsky Alex
Department of Mechanical Engineering, The University of Akron, Akron, OH 44325-3903, USA.
J Nanosci Nanotechnol. 2008 Jul;8(7):3790-801.
A boundary singularity method with submerged Stokeslets is applied to the low Reynolds number flows about a set of spheres. Newtonian fluid is considered with no slip or partial slip boundary conditions at the wall. The validity of the method for Stokes flows about representative sets of spheres is investigated. The considered cases include (i) a uniform flow about a stationary set of particles typical for filtration and chemical vapor deposition, (ii) a flow induced by particles moving toward each other typical for self-assembly processes and (iii) a flow induced by spinning particles typical for micro-pump applications. The dependence of the flowfield on the number of Stokeslets is investigated in order to establish the needed number of Stokeslets. Comparison of flow field for the no-slip (Kn = 0) and partial-slip boundary conditions (Kn = 0.1) shows that the partial slip at the particles' surface significantly affect the velocity field and pressure distribution.
一种带有浸没式斯托克斯元的边界奇点方法被应用于一组球体周围的低雷诺数流动。考虑牛顿流体，在壁面处采用无滑移或部分滑移边界条件。研究了该方法对于围绕代表性球体集合的斯托克斯流动的有效性。所考虑的情况包括：(i) 围绕一组用于过滤和化学气相沉积的典型静止颗粒的均匀流动；(ii) 由颗粒相向运动引起的流动，这在自组装过程中很典型；(iii) 由旋转颗粒引起的流动，这在微泵应用中很典型。研究了流场对斯托克斯元数量的依赖性，以确定所需的斯托克斯元数量。无滑移（Kn = 0）和部分滑移边界条件（Kn = 0.1）下的流场比较表明，颗粒表面的部分滑移显著影响速度场和压力分布。
