基于量纲分析的燃料云雾半径计算

Calculation of Fuel Cloud Radius Based on Dimensional Analysis

为获得燃料云雾半径变化规律,通过对几组相似条件下的抛撒数据进行对比,结合守恒定律确定了影响燃料云雾半径的参数,利用量纲分析的手段推导出了相似装药条件下不同质量燃料云雾半径比值的函数关系,通过控制装药参数,将算例数据代入给出了云雾半径拟合公式,通过实验数据对公式进行验证。结果表明,相似装药条件的抛撒云雾速度在相同的t/t0处有相同趋势,说明其处在基本相同的状态。拟合出的公式在计算10 kg装药量下云雾抛撒半径与通过实验得到的数据有很高的吻合度,证明该方法可行。

In order to obtain the change law of fuel cloud radius,through comparing several groups of dispersion data under similar conditions,combined with conservation law,the parameters affecting the cloud dispersion radius were determined.By using the method of dimensional analysis,the function relationship of the ratio of different mass fuel dispersion radius under similar charge conditions was derived.By controlling the charge parameters,the calculation example data was brought into the calculation,and the fitting formula of cloud radius was given.The formula was verified by experimental data.The results show that the speed of cloud and mist dispersion under similar charge conditions is at the same t/t0.The same trend at 0 indicates that it is in the same state.The fitting formula has a high degree of agreement with the experimental data under the calculation of 10 kg charge,which proves that this method is feasible.