基于连续性方程和N-S方程,建立了油液在10^2μm量级通道中流动的数学模型,利用有限元法求得了速度的数值解,并利用CFD软件Fluent分别数值模拟了进口段效应、几何结构参数和重力效应对光滑矩形截面微通道中油液流动特性的影响。结果表明:油液在微通道横截面上的速度分布近似呈抛物线型分布,最大流速在微通道的中心轴线处;进口段效应对油液微流动的影响在通道长度较大时可以忽略;微通道内油液低雷诺数流动的阻力系数随长径比增大而减小,长径比大于75时趋于稳定,而摩擦阻力常数则随高宽比的增大而呈指数级增大;重力效应对油液的微流动可以忽略不计。
Based on continuity equation and Navier-Stokes equation,the mathematical model of oil flow in microtube was established,and the numerical solution of velocity was obtained. The influence of entrance effect,geometry dimension and gravitational force upon oil flow characteristic in smooth rectangular microtube was simulated. The simulation results indicate that the distribution of oil velocity at the cross-section of microtube approximately looks like a parabolical distribution at certain presurre or flux condition,and the maiximum flow rate appears at the central axis. The influence of entrance effect upon oil microflow can be neglected as the length of microtube is large. The drag coefficient of oil flow at low Reynolds number increases with the slenderness ratio decreasing,and tends to stabilization as the slenderness ratio is more than 75. The friction constants increase with the depth-width ratio increasing. The influence of gravitational effect upon microflow of oil can be neglected.