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arXiv 2608.20951physics.flu-dyn

适用于曲线叶片运动学的翼型形状优化的低保真方法

A Low-Fidelity Method for Aerofoil Shape Optimisation for Curvilinear Blade Kinematics

Benjamin Irwin, David Toal, Swathi Krishna

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中文总结 AI 辅助

该研究以悬停环翼为案例,开发了曲线叶片运动学下翼型优化的低保真框架,其计算成本远低于高保真优化,可有效提升悬停效率且实用性优于叶片桨距优化。

中文摘要 AI 辅助

本研究以悬停环翼为代表性案例,开发了一种适用于曲线叶片运动学的翼型形状优化的低保真框架。翼型优化可通过抑制动态失速期间的前缘涡分离来提高环翼效率,但传统方法依赖计算成本高昂的基于CFD的优化。所提方法采用单流管模型估算转子通流,并通过独立的前缘和后缘准则优化翼型弯度线。在叶片数量和弦长不同的构型中评估该框架时,其始终能识别出可提高悬停效率(以优值系数量化)的翼型。对于基准四叶片构型,该低保真优化实现了高保真优化所获优值系数提升的77%,而计算成本仅为后者的一小部分。分析还揭示了弦长增加时的另一组扭矩最小化设计,凸显了后缘载荷的影响。此外,将翼型优化与叶片桨距运动学优化进行了比较,后者通过类似的前缘涡控制来提高效率。尽管两种方法均产生相当的效率提升,但优化后的运动学显著降低了推力。因此,翼型优化可能更具实用性,因为采用优化桨距运动学维持目标推力需要更高的转速,可能引发结构和噪声问题。

英文摘要

This study develops a low-fidelity framework for aerofoil shape optimisation under curvilinear blade kinematics, using a hovering cyclorotor as a representative case. Aerofoil optimisation can improve cyclorotor efficiency by suppressing leading-edge vortex separation during dynamic stall, but conventional approaches rely on computationally expensive CFD-based optimisation. The proposed method uses a single-streamtube model to estimate the rotor throughflow and optimises the aerofoil camberline using separate leading- and trailing-edge criteria. Assessed across configurations with varying blade counts and chord lengths, the framework consistently identifies aerofoils that improve hover efficiency, quantified by Figure of Merit. For the baseline four-bladed configuration, the low-fidelity optimum achieves 77% of the Figure of Merit improvement obtained using high-fidelity optimisation at a fraction of the computational cost. The analysis also reveals an additional torque-minimising design family at increased chord lengths, highlighting the influence of trailing-edge loading. Aerofoil optimisation is also compared to blade-pitch kinematics optimisation, which improves the efficiency through similar control of the leading-edge vortex separation. While both approaches produce comparable improvements in efficiency, the optimised kinematics substantially reduces thrust. Aerofoil optimisation may therefore be more practical, as maintaining a target thrust with optimised pitch kinematics would require higher rotational speeds, potentially introducing structural and noise issues.

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