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Finite State Inflow Flow Model for Coaxial Rotor Configuration

机译：同轴转子配置有限状态流入流量模型

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摘要

An analytical coaxial rotor inflow model has been developed from potential flow theory using the pressure potential superposition approach. The coaxial rotor pressure potential superposition inflow model (PPSIM) is formulated in state-space form with structure similar to the Peters-He model, except that additional off-diagonal blocks are included in the apparent mass (M-matrix) and influence coefficient matrices (L-matrix). These off-diagonal blocks take into account mutual interference effects present in a coaxial rotor system by relating the rotor's inflows due to other rotor's pressure loadings. Induced inflow distributions on both upper and lower rotors are computed using PPSIM for comparison against predictions from high-fidelity models such as GT-Hybrid and the viscous vortex particle method (VVPM). Good agreement between PPSIM-induced inflow results and GT-hybrid as well as VVPM data has been shown for hover flight condition. At low advance ratio, there are differences in fore-to-aft inflow states between PPSIM and the high-fidelity models. This is because PPSIM assumed rigid, skewed cylindrical wake geometries for both upper and lower rotors during forward flight. But in GT-Hybrid and VVPM, wake structures are allowed to move freely in space and are mainly affected by rotor-induced velocities at low advance ratios. Owing to the close proximity between upper and lower rotors, mutual interference-induced velocities significantly distorted the rotors' wake geometries. The rigid rotor wake geometry assumptions in PPSIM and the distortion captured in higher fidelity models are the reasons behind differences in rotor-induced inflows. At higher advance ratios, wake distortion effects are less prominent since free-stream inflows are significantly larger than rotor-induced velocities. Hence, smaller differences between PPSIM inflow states and those extracted from GT-Hybrid as well as VVPM are observed at high advance ratios.
机译：利用压力电位叠加方法从潜在的流动理论开发了一个分析同轴转子流入模型。同轴转子压力电位叠加流入模型（PPSIM）以与彼此模型类似的状态的状态形式配制，不同之处在于表观质量（M-MATRIX）和影响系数矩阵之外包括额外的偏差块和影响系数矩阵（L-矩阵）。这些偏离对角线块通过与其他转子的压力载荷引起的转子流入相关，考虑到同轴转子系统中存在的相互干扰效果。使用PPSIM计算上层和下转子的引起的流入分布，以与来自高保真模型（如GT-杂交和粘性涡流颗粒）（VVPM）的预测进行比较。 PPPSIM诱导的流入结果和GT-杂种的良好一致性以及VVPM数据已显示用于悬停飞行条件。在低预算比率下，PPSIM和高保真模型之间存在前后流入状态存在差异。这是因为在向前飞行期间PPSIM假设上部和下转子的刚性，倾斜的圆柱形唤醒几何形状。但在GT - 杂交和VVPM中，允许唤醒结构在空间中自由移动，主要受转子诱导的速度在低预远比率的影响。由于上转子和下转子之间的近距离接近，相互干扰诱导的速度显着扭曲了转子的唤醒几何形状。 PPSIM中的刚性转子唤醒几何假设和更高保真模型中捕获的失真是转子引起的流入差异背后的原因。在提高比率下，由于自由流流入显着大于转子诱导的速度，因此唤醒失真效应不太突出。因此，在高预远比率下观察到PPSIM流入状态和从GT-杂交种和VVPM提取的那些较小的差异。

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  • 来源
    《Journal of the American Helicopter Society》 |2020年第3期|032002.1-032002.11|共11页
  • 作者

    Yong-Boon Kong; J.V.R. Prasad; Lakshmi N. Sankar; Chengjian He;

  • 作者单位

    School of Aerospace Engineering Georgia Institute of Technology Atlanta GA;

    School of Aerospace Engineering Georgia Institute of Technology Atlanta GA;

    School of Aerospace Engineering Georgia Institute of Technology Atlanta GA;

    Advanced Rotorcraft Technology Inc Sunnyvale CA;

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