静态水银液滴建模仿真研究  

Modeling and simulation of static mercury droplets

作　　者：王秀蕾[1] 刘双峰[1] 马铁华[1] 

机构地区：[1]中北大学仪器科学与动态测试教育部重点实验室,山西太原030051

出　　处：《应用科技》2008年第1期1-3,共3页Applied Science and Technology

基　　金：国家自然科学基金资助项目(60274029)

摘　　要：根据流体力学Young-Lap lace公式和微分几何学主曲率方程,利用液体自由面的对称性质建立数学模型,并导出静态水银液滴自由面函数方程,然后对只有重力作用下的水银液滴建模,利用MATLAB求解出自由面函数方程,并仿真、绘制出了水银液滴在只有重力加速度下的自由面函数曲线,最后分析了影响仿真的因素.对静态水银液滴在重力加速度下的建模仿真,将对水银电容式加速度传感器的研究有重大意义.The mathematical model and the function equation of free surface of mercury droplets are established in accordance with Young-Laplace function, principal curvature equation in differential geometry and the symmetry of free surface of liquid droplet configuration. Then a model for mercury droplets with only action of gravitation is setup. The function equation of free surface is solved with MATLAB. With the simulation results, the curves for free surface functions are plotted in case of only acceleration of gravity. Finally the factors affecting the simulation is analyzed. Modeling and simulating for mercury droplets under the action of gravitational acceleration will he helpful to study of accelerometer using mercury.

关 键 词：水银液滴 建模 仿真 自由面函数方程 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]