腔内平板对空腔自激励振荡的影响及预估振荡频率方程的改进
Influence of the plate on the cavity flow-induced oscillations and the modification of the oscillation frequency equation
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摘要: 运用全隐式无分裂方法,紊流模型采用修正的B-L代数模型,数值模拟了超音速流通过腔内存在平板的空腔流动。研究了腔内有不同长度平板存在的空腔流动的剪切层自持性振荡,并与无平板存在时的现象进行类比。腔内平板将剪切层与空腔隔开,减弱了剪切层振荡与空腔压强脉动的耦合作用;随着腔内平板长度的增加,剪切层振荡的程度有所减小。基于特征长度可变的思想,本文改进了Heller的频率预估方程,改进后的频率方程能更好地预估空腔的振荡频率。与Heller的方程相比,修改后的方程预估所得到的频率值更接近于闭式空腔声学模型方程的预估结果;各个方程预估空腔振荡频率值的比较进一步验证了改进后的方程的正确性及合理性。Abstract: A numerical solution of the three-dimensional URANS equation was presented using the fully implicit unfactored methods,where the turbulent coefficient was calculated based on the revised B-L turbulence model,and numerical simulations were implemented for supersonic three-dimensional open cavities.The self-sustained oscillatory motion of the shear layer was studied for plates with different lengths.The plate in the cavity isolates the shear layer and the cavity,and therefore reduces the coupling between the cavity pressure fluctuations and the shear layer.The oscillation of the shear layer decreases with the increase of the plate length.Based on the different characteristic lengths,Heller’s frequency equation was modified.The frequencies predicted by the modified equation agree with those by the close-box acoustic model;several comparisons demonstrate the validity of the modified equation.
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