抛物化稳定性方程在曲面边界层中的应用

李佳; 罗纪生

doi:10.13224/j.cnki.jasp.2015.12.022

抛物化稳定性方程在曲面边界层中的应用

doi: 10.13224/j.cnki.jasp.2015.12.022

李佳¹,
罗纪生²

1. 唐山学院基础教学部, 河北唐山 063000;
2. 天津大学机械工程学院, 天津 300072

基金项目:

国家重点基础研究发展计划(2009CB724103)

河北省自然科学基金(A2015105073)

唐山学院博士创新基金(tsxybc201305)

唐山学院院级市属重点实验室项目(tsxyzdsys020)

详细信息

作者简介:
李佳(1984-),女,河北晋州人,讲师,博士,主要从事流动稳定性和转捩预测研究.

中图分类号: V211.3
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- 文章访问数: 721
- HTML浏览量: 5
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- 被引次数: 0
出版历程
- 收稿日期: 2014-07-26
- 刊出日期: 2015-12-28

Application of the parabolized stability equation in curved surfaces boundary layers

LI Jia¹,
LUO Ji-sheng²

1. Department of Basic Teaching, Tangshan University, Tangshan Hebei 063000, China;
2. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China

摘要

摘要: 为了研究抛物化稳定性方程在曲面边界层中的应用,选取了等曲率圆环管道、等曲率板和NACA0012翼型3种典型的曲面边界层.通过计算小幅值扰动波的演化,抛物化稳定性方程的计算结果和线性稳定性理论、数值模拟扰动方程结果相符,说明可以使用抛物化稳定性方程研究曲面边界层的小幅值扰动波的演化和稳定性分析;通过计算有限幅值扰动波的演化,线性阶段抛物化稳定性方程计算结果和扰动方程相符,在非线性很强的阶段,抛物化稳定性方程计算发散,发散的位置可作为转捩位置.
- 扰动演化 /
- 抛物化稳定性方程 /
- 等曲率圆环管道 /
- 等曲率板 /
- NACA0012翼型 /
- 线性稳定性理论 /
- 扰动方程
Abstract: In order to research the application of the parabolized stability equation in curved surfaces boundary layers, three typical curved surface boundary layers of identical curvature circle pipelines, identical curvature plates and NACA0012 wing were calculated.Through calculation of the evolution of small amplitude disturbance waves, the results of the parabolized stability equation were compared with the linear stability theory and numerical simulation of disturbance equations.The consistency indicates the evolution and stability analysis of small amplitude disturbance waves could be studied by the parabolized stability equation in curved surfaces boundary layers. For the evolution of finite amplitude disturbance wave, the result by the parabolized stability equation is accordant with disturbance equations in linear stage.Using the parabolized stability equation, computational divergence will appear in the strong nonlinear stage and the divergence position can be used as the transition position.
- disturbance evolution /
- parabolized stability equation /
- identical curvature circle pipeline /
- identical curvature plate /
- NACA0012 wing /
- linear stability theory /
- disturbance equation

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参考文献(19)

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