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本文根据细长体理论推导出旋转体边界条件由物面转移到柱面的简化处理公式和物面扰动速度的插值公式。采用跨音速小扰动(TSD)方程计算了有迎角的旋转体无分离流动,以及均匀进气假设下机头进气道的外流场。物体前方为纵向线松驰求解,侧方则为径向线松驰,同时引入人工时间阻尼改善了流场的收敛情况。数值计算与实验结果吻合良好,并为某气动补偿空速管设计进行了理论与数值分析,取得了令人满意的结果。附录在局部线化条下,分析了人工时间阻尼在超音速点的作用。
According to the theory of slender body, this paper deduces the simplified formula and the interpolating formula of object surface turbulence velocity from object surface to cylinder surface. The transonic small perturbation (TSD) equation is used to calculate the undivided flow of the rotating body with angle of attack and the outward flow field of the nose intake under the assumption of uniform intake. The longitudinal relaxation of the object in front of the object is solved, while the lateral relaxation of the radial line, while the introduction of artificial time damping to improve the convergence of the flow field. The numerical results are in good agreement with the experimental results. Theoretical and numerical analyzes of the design of a pneumatic compensation tube were made, and satisfactory results were obtained. Appendix Under the local linearization, the effect of artificial time damping at the supersonic point is analyzed.