为快速预测微尺度下液柱受惯性力作用时其分界面的运动位移,基于非定常伯努利方程建立了其理论模型.首先,推导了惯性力作用下微液柱的运动方程.然后,利用封闭的环形微通道仿真模型,对微液柱受阶跃型加速度作用时的动态响应进行了数值仿真,利用仿真数据拟合得到了对应的待定系数k值,并进一步确定了k值表达式.最后,制作了微通道实验样机,利用高速摄影机和离心实验平台进行离心加载实验.结果表明,所建立的惯性力驱动微液柱运动模型,可用于预测微尺度下液柱的分界面运动位移,其计算精度满足工程设计要求.
To predict the displacement of the liquid-gas interface of the liquid column driven by inertial force, in micro-channel, the motion mechanism of the liquid column in micro-channel was theoretically ana- lyzed. Its theoretical model was derived based on the unsteady Bernoulli equation. Then, the closed loop micro-channel simulation model was adopted to simulate the dynamic response of liquid column at step ac- celeration. The models were simulated by Fluent 6.3 with the VOF and CSF module. The undetermined coefficient k of the theoretical model was fitted by the displacement-time curves, and its expression was confirmed. Finally, to verify the applicability of the theoretical model, a micro-channel prototype was fab- ricated and tested by using a custom-built centrifugal testing setup with a high speed camera. The average deviation of the experiment and theoretical analysis is 5 %. The displacement-time curves of the experiment and theoretical analysis are in good agreement. The results show that the theoretical model of the liquid column, flow in micro-scale, driven by inertial force, is feasible.