基于边界层相似性解的放大因子输运模型

doi:10.7527/S1000-6893.2016.0019

流体力学与飞行力学

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基于边界层相似性解的放大因子输运模型

徐家宽, 白俊强

西北工业大学航空学院, 西安 710072

收稿日期:2015-04-29 修回日期:2016-01-14 出版日期:2016-04-15 发布日期:2016-01-15
通讯作者: 白俊强,Tel.:029-88492694 E-mail:junqiang@nwpu.edu.cn E-mail:junqiang@nwpu.edu.cn
作者简介:徐家宽,男,博士研究生。主要研究方向:飞行器气动设计,计算流体力学。Tel:029-88492694 E-mail:xujiakuanbond@163.com;白俊强,男,博士,教授,博士生导师。主要研究方向:飞行器总体及气动设计,飞行力学,计算流体力学。Tel:029-88492694 E-mail:junqiang@nwpu.edu.cn
基金资助:
国家"973"计划(2014CB744804)

Amplification factor transport model based on boundary layer similarity solution

XU Jiakuan, BAI Junqiang

School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received:2015-04-29 Revised:2016-01-14 Online:2016-04-15 Published:2016-01-15
Supported by:
National Basic Research Program of China (2014CB744804)

摘要/Abstract

摘要：

为了使二维线性稳定性理论能够适应现代CFD求解技术,通过求解Falkner-Skan边界层相似性方程获得各个形状因子下的相似速度型。基于线性稳定性理论,对各个速度型进行稳定性分析从而获得对应不同速度型的扰动放大因子包络线。最后使用标量输运方程的形式实现包络近似方法中放大因子的当地化求解,并结合原始γ-Re_θt转捩模型中的间歇因子输运方程,实现了自然转捩和分离泡转捩的建模。使用该输运模型对S&K平板、S809翼型、NLR7301翼型和DLR-F5机翼进行转捩预测,结果均与试验结果吻合较好,验证了该模型构建的合理性和可行性。

关键词: 线性稳定性理论, 边界层转捩, Falkner-Skan, 边界层相似性解, 放大因子, 间歇因子

Abstract:

In order to make the linear stability theory adapt to the modern CFD solver technology, the similarity velocity profiles corresponding to various shape factors is obtained through solving the Falkner-Skan similarity equation. Then the approximate envelope lines of amplification factor can be achieved by analyzing different velocity profiles based on the linear stability theory. Finally, the amplification factor of envelope approximation method is solved locally in the form of scalar transport equation and the transport equation of intermittency factor in the original γ-Re_θt transition model is combined to model the prediction of natural transition and separation bubble transition. The transport model has been applied to conducting the transition prediction on the S&K plate flat, S809 airfoil, NLR7301 airfoil and DLR-F5 wing. The successful results verify the rationality and feasibility of the established transport transition model.

Key words: linear stability theory, boundary layer transition, Falkner-Skan, boundary layer similar solution, amplification factor, intermittency factor

中图分类号:

V221

徐家宽, 白俊强. 基于边界层相似性解的放大因子输运模型[J]. 航空学报, 2016, 37(4): 1103-1113.

XU Jiakuan, BAI Junqiang. Amplification factor transport model based on boundary layer similarity solution[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(4): 1103-1113.

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于边界层相似性解的放大因子输运模型

Amplification factor transport model based on boundary layer similarity solution

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