基于边界层理论的盘形转子流体阻力研究
Exploring Fluid Resistance of Disk Rotor Based on Boundary Layer Theory

基于边界层理论分析了盘形转子在液体中旋转运动受到的摩擦阻力,参考Prandtl-Schlichting公式设计了旋转转子的摩擦阻力系数,利用雷诺定律得到了转子单位面积上受到的摩擦阻力,并通过积分得到了转子受到的阻力矩计算公式。设计了盘形转子的流体阻力试验,利用试验数据对阻力矩公式中的待定系数进行了最小二乘法拟合。将拟合结果代入计算公式,得到的阻力矩计算结果与不同直径、不同厚度的转子在不同转速下的试验数据均能很好的吻合,说明所设计的转子摩擦阻力系数公式与获得的待定系数用以计算盘形转子的流体摩擦阻力矩是可行的。
The fluid resistance of a disk rotor rotating in a viscous flow field was analyzed based on the boundary layer theory. The friction resistance coefficient of the rotational rotor was obtained with the Prandtl-Schlichting formulas. The friction resistance per unit area was obtained with the Reynolds law and the formula for calculating the disk rotor's resistance moment was derived by computing its integral. The experiment on the disk rotor's fluid resistance was designed. The fluid resistance coefficients to be undetermined with the least squares method's curve fitting with the data were calculated with the formula, and the friction resistance moment calculation results agree well with the fluid resistance experimental data of all disk rotors that have different diameters, thicknesses and rotational speeds. The experimental results show that the friction resistance coefficient calculated with the formula derived and the fluid resistance coefficients for computing the disk rotor's resistance moment are feasible