摘要
为了研究马赫数、雷诺数、后掠角、壁面温度和压力梯度等因素对超声速边界层自然转捩横流模态和Oblique T-S模态的影响,在平板、翼型和无限展长后掠翼等二维或准三维流动中使用线性稳定性理论(LST,linear stability theory)和eN转捩预测方法,通过变参数分析研究了这几类影响因素分别对横流模态和Oblique T-S模态N因子的作用效果。基于文中算例所设置的来流和壁面条件进行计算,计算结果表明,横流模态N因子增长速率分别与来流马赫数、雷诺数呈正相关;随着后掠角从30°增加到60°,横流模态N因子值的增长不断加快,超过60°以后驻波N因子值增长开始减弱,而行波N因子值在60°~75°范围内变化不明显,可以推断行波N因子值开始衰减的临界后掠角更大;Oblique T-S模态N因子值的增长速率分别与来流雷诺数、壁面温度与来流温度的比值呈正相关,当来流马赫数越大或者顺压力梯度越大时增长速率减小。因此,来流马赫数的变化对自然转捩的影响与所分析的不稳定模态类型有关,而来流雷诺数的变化对自然转捩横流模态和Oblique T-S模态N因子的影响趋势是一致的。
In order to investigate the effects of factors such as Mach number,Reynolds number,sweep angle,wall temperature and pressure gradient on the natural transition of supersonic boundary layer in the cross-flow mode and Oblique T-S mode,linear stability theory(LST)and eN transition prediction method are used in two-dimensional or quasi three-dimensional flows such as flat plates,airfoils and infinite swept-back wings.The effects of these influencing factors on the N factor of cross-flow mode and Oblique T-S mode are studied through variable parameter analysis.Based on the inflow and wall conditions set in the cases in this article,the calculation results show that the growth rate of the N factor in the cross-flow mode is positively correlated with the inflow Mach number and Reynolds number,respectively.As the sweep angle increases from 30°to 60°,the N factor growth of the cross-flow mode continues to accelerate.After exceeding 60°,N factor growth in the stationary wave begins to weaken,while the N factor in travelling wave does not change significantly in the range of 60°to 75°.It can be inferred that the critical sweep angle at which the N factor in travelling wave begins to decay is larger.The N factor growth rate of Oblique T-S mode is positively correlated with the inflow Reynolds number,the ratio of wall temperature to inflow temperature,respectively.The N factor growth rate decreases as the inflow Mach number increases or the positive pressure gradient increases.Therefore,the influence of the variation of inflow Mach number on natural transition is related to the type of analyzed instability mode,while the trend of the influence of the variation of inflow Reynolds number on the N factor of natural transition of cross-flow mode and Oblique T-S mode is consistent.
作者
樊佳坤
谢露
徐家宽
乔磊
白俊强
FAN Jiakun;XIE Lu;XU Jiakuan;QIAO Lei;BAI Junqiang(School of Aeronautics,Northwestern Polytechnical University,Xi′an 710072,China;Unmanned System Research Institute,Northwestern Polytechnical University,Xi′an 710072,China;National Key Laboratory of Aircraft Configuration Design,Northwestern Polytechnical University,Xi′an 710072,China;The First Aircraft Institute,AVIC,Xi′an 710089,China)
出处
《中国民航大学学报》
CAS
2024年第5期28-35,51,共9页
Journal of Civil Aviation University of China
基金
翼型、叶栅空气动力学国家级重点实验室稳定支持经费项目(D5050210007)
中央高校基本科研业务费项目(G2021KY05101)。