Semi-empirical model for shape of liquid sheet formed by oblique jet impinging onto wall
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摘要:
通过求解斜射流撞壁形成液膜的厚度和速度分布,并结合能量方程和经验近似,得到预测液膜边界的半经验模型。该模型能直观地描述各因素的影响,无需数值迭代求解复杂方程。为了验证模型的准确性,开展了实验研究,分析了射流速度、撞击角度、黏性和表面张力的影响,然后比较了实验结果和模型结果。结果表明:该模型能很好地预测液膜边界,实验和模型边界曲线的相关系数都在0.99以上,即便对下游流动复杂区域也有很高的预测精度,此时误差约为1%。
Abstract:By solving the thickness and velocity distribution of the liquid sheet formed by an oblique liquid jet impinging onto a wall, in combination with the energy equation and empirical approximation, a semi-empirical model was established to predict the liquid sheet boundary. The model can directly describe the influence of various factors without numerical iteration of the complex equations. To verify the accuracy of the model, experimental studies were carried out, and the influences of the jet velocity, impact angle, viscosity and surface tension were analyzed. Then, the model results were compared with the experimental results. It was found that the model had a good prediction ability for the liquid sheet shape. The correlation coefficients of the experimental and model boundary curves under all working conditions were larger than 0.99. The model also had a high prediction accuracy even for the downstream complex flow area, with the error about 1%.
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Key words:
- oblique jet /
- horizontal plate /
- liquid sheet /
- semi-empirical model /
- liquid sheet cooling
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表 1 实验工况
Table 1. Experimental conditions
工况 $ {u_0} $/
(m/s)$ \theta $/
(°)$ \rho $/
(kg/m3)$ \mu $/
(mPa·s)$ \sigma $/
(mN/m)1 9.8 30 997.6 0.94 72.88 2 13.4 30 997.6 0.94 72.88 3 18.9 30 997.6 0.94 72.88 4 9.8 45 997.6 0.94 72.88 5 9.8 75 997.6 0.94 72.88 6 13.4 30 1109.2 5.48 72.88 7 13.4 30 1134.6 9.57 72.88 8 13.4 30 997.6 0.94 40.62 9 13.4 30 997.6 0.94 36.81 -
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