非线性耦合本构在高空侧向喷流中的数值研究

doi:10.7527/S1000-6893.2022.27700

摘要/Abstract

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摘要：

随着高度攀升，气动舵面对飞行器的控制效率急剧下降，此时侧向喷流作为最常用的反作用控制系统（RCS）在飞行器机动过程中发挥着不可或缺的作用。更多阅读Navier-Stokes （NS）方程虽在低空连续流问题的求解中表现尚可，但在滑移流（0.01<Kn<0.1）乃至过渡流域（0.1<Kn<10）中常常由于连续性假设失效而存在局限性。为了准确捕捉稀薄过渡流中侧向喷流与来流大气的干扰流动特征，运用非线性耦合本构关系（NCCR）模型对不同来流高度下几个典型的侧向喷流问题进行模拟计算，并与NS方程和蒙特卡洛直接模拟（DSMC）方法预测的结果进行对比，以此检验NCCR模型在高空复杂流动情况下的准确性和适用性。研究结果表明：NCCR模型与NS方程在连续流域的模拟结果具有较高的一致性，而在滑移过渡流域NCCR模型更能准确反映喷口前后的分离区大小以及表面流动特征，并且对于引入侧向喷流后造成的激波-激波干扰这一类复杂流动机理的描述，NCCR模型预测结果较NS方程更为贴近DSMC结果。

关键词: 侧向喷流, 多尺度, 高空稀薄, 本构方程, 高超声速流动, 广义流体动力学更多阅读

Abstract:

As the altitude climbs， the aircraft control efficiency by the pneumatic rudder drops sharply with the increase of the Kn number， when the lateral jet， as the most commonly used type of a Reaction Control System （RCS）， plays a key role in the aircraft maneuvering process. Despite the good performance of the Navier-Stokes（NS） equations in low-altitude continuous flow problems， they fail to predict the slip flows （0.01<Kn<0.1） and even the transitional flows （0.1<Kn<10） due to the breakdown of continuity assumptions. To accurately capture the flow interference characteristics of the lateral jet and free stream in the rarefied transitional flow regime， this paper simulated typical lateral jet flow problems at different altitudes using the Nonlinear Coupled Constitutive Relations （NCCR） model and the NS model. The results of Direct Simulation of Monte Carlo （DSMC） were compared to further illustrate the reliability of the NCCR model in these cases. The research showed that the simulation results of the NCCR model and NS model have a high consistency in the continuous flow regime， and the NCCR model can more accurately predict the separation zone size and surface flow characteristics near the nozzle in the slip flow and transitional flow regimes. Moreover， compared with the NS equations， the NCCR model agrees better with the DSMC prediction in describing the complex flow mechanism of shock-shock interaction caused by the lateral jet.

Key words: lateral jet, multi-scale, high-altitude rarefaction, constitutive equations, hypersonic flow, generalized hydrodynamics

中图分类号:

V211.3

黄依峰, 曾舒华, 江中正, 陈伟芳. 非线性耦合本构在高空侧向喷流中的数值研究[J]. 航空学报, 2022, 43(S2): 8.

Yifeng HUANG, Shuhua ZENG, Zhongzheng JIANG, Weifang CHEN. Numerical study on high-altitude lateral jet based on nonlinear coupled constitutive relation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(S2): 8.

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高度/km	速度/（m·s^-1）	温度/K	压力/Pa	来流气体自由程/m	努森数Kn
60	3 150.9	247.02	21.959	0.000 26	0.002 6
70	2 970.9	219.59	5.221	0.001（0.000 98）	0.01
85	2 755	188.84	0.446	0.01（0.009 9）	0.1

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