微流体对中心开孔圆盘的阻尼特性

由缝隙流和挤压流动控制方程得到了滑流边界条件下的粘性修正的流动解．分析了圆盘的运动阻尼与缝隙大小、中心孔径以及圆盘厚度的关系，给出了设计滑膜和压膜合成阻尼的解析表达式．微流体对圆盘的阻尼与圆盘面的表面特性相关．通过修正动量协调系数可得到合适的等效粘度，以计算微流体对运动物体的阻尼力．算例表明，用本文中提出的解析方法得到的结果与有限元方法的数值解吻合．

Damping Characteristics of Microfluid on Perforated Disks with a Centre Hole

Based on the equations of gap flow and squeezed flow, the viscous-modified solution under the slip boundary condition was obtained to calculate the damping characteristic of microfluid acting on a perforated disk with a centre hole. The correlation between the kinetic damping and dimensions of the perforated disk, such as the gap and the radius of the centre hole and the thickness of the disk, was obtained. An analytical expression of damping composed of slide film damping and squeeze film damping was presented. It was found that the damping of microfluid acting on the disk is correlative with surface characteristics of the disk. Suitable equivalent viscosity can be obtained by introducing a momentum accommodation coefficient to calculate the damping forces of microfluid acting on moving objects. A calculation example shows that the analytical solutions accord well with the numerical results obtained with finite element method.