Effect of temperature on the transitional Reynolds number of high-speed planar boundary layer

LIU Zhiyong; YU Min; YANG Wubin

doi:10.7638/kqdlxxb-2020.0026

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Effect of temperature on the transitional Reynolds number of high-speed planar boundary layer

更新时间：2026-05-28

- Effect of temperature on the transitional Reynolds number of high-speed planar boundary layer
- Vol. 38, Issue 2, Pages: 308-315(2020)
- 作者机构：
  
  中国航天空气动力技术研究院,北京,100074
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2020.0026
  CLC： O357.4
- Published：2020
- 稿件说明：
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刘智勇, 禹旻, 杨武兵. 温度对高速平板边界层转捩雷诺数的影响[J]. 空气动力学学报, 2020, 38(2): 308-315.

LIU Zhiyong, YU Min, YANG Wubin. Effect of temperature on the transitional Reynolds number of high-speed planar boundary layer[J]. 2020, 38(2): 308-315.
刘智勇, 禹旻, 杨武兵. 温度对高速平板边界层转捩雷诺数的影响[J]. 空气动力学学报, 2020, 38(2): 308-315. DOI： 10.7638/kqdlxxb-2020.0026.

LIU Zhiyong, YU Min, YANG Wubin. Effect of temperature on the transitional Reynolds number of high-speed planar boundary layer[J]. 2020, 38(2): 308-315. DOI： 10.7638/kqdlxxb-2020.0026.

摘要

为了深入研究温度对高速边界层稳定性和转捩的影响，并对不同温度条件下的转捩结果进行关联，采用线性稳定性理论和e

方法，对不同壁温、总温条件下的高速平板边界层进行了稳定性分析和转捩预测。温度条件对转捩的影响体现在两方面，一方面会改变快、慢模态的分枝特性，由此改变扰动的线性增长路径；另一方面可以改变边界层本身的不稳定性，引起扰动增长幅值和转捩位置的变化。结果表明，壁温或总温的变化，会产生不同的模态分枝类型，且总温的增加对边界层起稳定作用。另外，发现对于相同马赫数，在不高于1000 K的壁温条件下，扰动的增长与壁温存在一致性的变化规律，结合e

方法，获得了转捩雷诺数与壁温比和

值的函数关系式。利用该公式，可以对不同初始扰动幅值和壁温条件的边界层转捩进行预测和关联。

Abstract

Linear stability theory and e

method are used to investigate the stability and transition of high-speed planar boundary layers subject to different wall temperatures and total temperatures. The present study extends the conventional understanding of the effects of temperature

which is helpful for transition correlation between different conditions. The temperature influences the boundary-layer transition in two aspects. Firstly

varying temperature results in different modal branching between fast and slow modes. This further affects the evolution path of infinitesimal disturbance. Secondly

mperature determines the fundamental instability of boundary layer

which leads to the variation of transition onset. It is revealed that the branching type changes under different wall and total temperatures. And the increase of total temperature is shown to stabilize the boundary layer. Besides

it is also discovered that the growth of disturbance varies exponentially with dimensionless wall temperature when the wall temperature is less than 1000 K. The transitional Reynolds number is formulated as a function of dimensionless wall temperature and

factor with the help of e

method. Based on the formula

it is possible to evaluate the transition of boundary layer subject to specific initial disturbance and wall temperature. It also provides a method to correlate the transition results between different wind tunnels or between ground tests and flight tests.

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Keywords

references

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