论文标题

在薄机翼标准气氛案例周围的冲击波线边界层的改进的分析/统计模型改进

Improved Analytical/Statistical Modelling of the Shock Wave-Laminar Boundary Layer Around a Thin Airfoil Standard Atmosphere Case

论文作者

Eddegdag, N., El-Aajine, O., Naamane, A., Radouani, M.

论文摘要

本工作的目的是开发对稳定的无层层状冲击波边界层相互作用的改进,更精确的分析建模,以在标准气氛中低入射率下薄式机翼周围弱冲击波。这项研究适应了先前由研究团队处理的问题的渐近建模,并通过整合经验参数m来改善分析分辨率过程。然后,我们的分析模型与通过超音速风隧道AF300实验获得的实验结果对抗。最后,为了验证我们的模型,进行了ANSYS流利R13中的CFD数值模拟,然后考虑到分析和数值结果,在SPSS中进行了统计研究,以确定每个机翼的确切分析表达,并根据上游的MACH的比较,并在数字上得到了分析的比较。在我们以前的研究中获得的近似错误。

The aim of this present work is to develop an improved and more precise analytical modelling of a steady irrotational laminar Shock Wave- Boundary Layer Interaction for weak shockwaves around a thin airfoil at a low incidence in the standard atmosphere. This study adapts the asymptotical modelling of our problem treated by our research team previously and improves the analytical resolution process by integrating the empirical parameter m. Then, confrontation of our analytical model to experimental results obtained through experimentation in Supersonic Wind Tunnel AF300. And finally, a CFD numerical simulation in ANSYS Fluent R13 was conducted in order to validate our model, followed up by a statistical study in SPSS taking into consideration analytical and numerical results in order to establish the exact analytical expression of m for each airfoil depending on upstream Mach numbers .The comparison of results obtained from the numerical, experimental and analytical confrontations of our improved and previous models showed promising results and greatly decreased the approximation errors obtained in our previous studies.

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