Chen Weikang, Zhang Rui, Koplik Joel
Benjamin Levich Institute and Departments of Physics, City College of the City University of New York, New York, New York 10031, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Feb;89(2):023005. doi: 10.1103/PhysRevE.89.023005. Epub 2014 Feb 10.
The Navier boundary condition for velocity slip on flat surfaces, when expressed in tensor form, is readily extended to surfaces of any shape. We test this assertion using molecular dynamics simulations of flow in channels with flat and curved walls and for rotating cylinders and spheres, all for a wide range of solid-liquid interaction strengths. We find that the slip length as conventionally measured at a flat wall in Couette flow is the same as that for all other cases with curved and rotating boundaries, provided the atomic interactions are the same and boundary shape is properly taken into account. These results support the idea that the slip length is a material property, transferable between different flow configurations.
平面上速度滑移的纳维边界条件，以张量形式表示时，很容易扩展到任何形状的表面。我们通过对具有平壁和曲壁的通道内流动以及旋转圆柱体和球体的分子动力学模拟来检验这一论断，所有这些模拟均针对广泛的固液相互作用强度范围。我们发现，在库埃特流中平壁处按常规测量的滑移长度与所有其他具有曲壁和旋转边界的情况相同，前提是原子相互作用相同且边界形状得到恰当考虑。这些结果支持了滑移长度是一种材料属性、可在不同流动构型之间转移的观点。
