流场中沿轴向运动圆柱的附加质量计算

分别计算理想流体和黏性流体中沿轴向运动圆柱的附加质量.基于相对运动原理得出在无限流体域中不同长细比圆柱的附加质量,验证附加质量与流体黏性无关的这一结论,并发现长细比越大,附加质量因数越小.利用动网格技术的数值模拟结果表明:圆管中沿轴向运动圆柱的附加质量随管径比减小而增大,且流体的流动形态会对物体的附加质量产生一定的影响.以长细比和管径比为参数给出无限和有限流体域中圆柱附加质量与相应参变量的拟合函数.

Calculation on added mass of cylinder moving along its axis in flow field

The added mass of a cylinder moving along its axis in ideal fluid and viscous fluid is calculated. The added mass of the cylinders with different slenderness ratios in infinite fluid domain is calculated on the basis of the principle of relative motion. It is concluded that, the added mass has nothing to do with fluid viscosity, and the larger slender ratio, the smaller added mass factor. The numerical simulation results obtained by moving mesh technique show that, the added mass of the cylinder moving along its axis in tube increases with the decrease of tube diameter ratio, and the flow pattern of fluid has some effect on the added mass. Taking the slenderness ratio and diameter ratio as the parameters, the fitting function of the cylinder in infinite and finite fluid domain with the corresponding variables is given.