Mathematical model of performance prediction of axisymmetric vectoring nozzle based on numerical simulations
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摘要: 基于三维数值模拟,对不同轴对称矢量喷管在多种工作状态下的内外流场进行了研究,分析了扩张角及扩张段长度对喷管有效矢量角的影响.基于最小二乘曲面拟合理论,建立了自变量包括扩张角、扩张段长度/喉道直径、落压比/设计落压比、几何偏转矢量角的多变量轴对称矢量喷管性能预测数学模型,并根据已有实验数据,对该模型进行了验证结果表明:推力系数误差最大为0.41%,流量系数误差最大为1.58%,矢量角误差最大为1.76°.建立的数学模型通用性较强,实现了用统一的模型对不同喷管性能参数进行预测和分析,具有一定的工程意义.Abstract: A series of axisymmetric vectoring nozzles with different divergent geometrical parameters were studied based on 3D numerical simulations, and each nozzle's flow field was simulated under different working conditions. The effects of divergent angle and divergent wall length on nozzle performance were analyzed. Through the method of least square surface fitting, a mathematical model taking divergent angle, divergent length/throat height, nozzle pressure ratio/designed nozzle pressure ratio and vector angle as its independent variables was established. Through comparison of performance predictions with the experimental data, result showed that, the error of thrust coefficient was under 0.41%, the error of flow coefficient was under 1.58% and the error of vectoring angle was under 1.76°. The mathematical model was built to predict performances of nozzle with different geometrical parameters, presenting strong commonality and engineering significance.
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