In this paper, the geometric models of microfluidics NON-AND and AND-OR droplet logic gate devices are designed, and the operations of NON-AND and AND-OR logic are implemented in the designed models. Based on the color-gradient model (R-K model) of lattice Boltzmann method (LBM), the two-phase flow pattern in microchannel is simulated. Based on the “equivalent length method”, the Laplace resistance at the droplet phase interface and the local resistance at the right-angle bend are equivalent to the additional pipe length required for continuous phase flow in the channel to generate the same on-way resistance increment, and the resistance characteristics when slug flow droplets exist in the microchannel are quantitatively analyzed. The method is further applied to the analysis of the resistance characteristics of the droplet logic gate, and the quantitative explanation of the droplet path-choosing behavior is obtained. Compared with the “hydroelectricity analogism method”, the “equivalent length method” is more concise and easy to understand. The research results in this paper provide theoretical basis for the design of other forms of droplet logic gate devices.

本文设计了微流体非与和与或与液滴逻辑门器件的几何模型，并在设计模型中实现了非与和与与或逻辑的运算。基于格子玻尔兹曼法（LBM）的颜色梯度模型（RK模型），模拟了微通道中的两相流模式。基于“等效长度法”，液滴相界面处的拉普拉斯电阻和直角弯曲处的局部电阻等于通道中连续相流产生相同的通行阻力所需的额外管道长度增量，并定量分析了微流中存在团状液滴时的阻力特性。该方法进一步应用于液滴逻辑门的电阻特性分析，得到了液滴路径选择行为的定量解释。与“水电类比法”相比，“等效长度法”更加简洁易懂。本文的研究结果为其他形式的液滴逻辑门器件的设计提供了理论依据。