湍流边界层底层相干结构的一个理论模型<sup>*</sup>

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

湍流边界层底层相干结构的一个理论模型^*

基金项目: * 国家自然科学基金;教委优秀青年教师基金资助项目

摘要: 本文采用非线性稳定性分析方法,研究了湍流边界层底层相干结干结构的成因.计算得到的增长最快的不稳定波的展向尺度与纵向尺度都与实验相符.这一分析的特点是采用了不同于湍流平均速度剖面的更合理的速度剖面作为稳定性分析的基础,并采用了新的非线性理论.文中结果有助于理解湍流边界层底层相干结构的拟有序现象.
- 相干结构 /
- 共振三波 /
- 幅值演化
Abstract: In this paper, the formation of the coherent structures in the wall region of a turbulent boundary layer was studied, using the nonlinear theory of the hydrodynamic stability. The spanwise and streamwise wavelengths of the most amplified unstable wave obtained by this study were found in good agreement with the experiments, which makes the distinct feature of this study in the present paper, as the basis of the stability analysis, a more rational velocity profile has been used, which is different from that of the turbulent mean flow. And also, the new nonlinear theory was used. The result is useful in understanding of the quasi-periodicity of the coherent structure in the turbulent boundary layer.
- coherent structure /
- resonant tried /
- amplitude evolution

[1]	Black welder,R.F.,Ph ys.Fluids 28(1986),2807.
[2]	Jang,P,,S,,D,J.Benney and R.L,Gran,J.Fluid Mech,,(1986),169,109.
[3]	Benney,D.J,and,L,H.Gustavsson,Stud,Appl.M ath,64(1981),185.
[4]	周恒,力学学报,20(1988),481.
[5]	周恒,流动稳定性弱非线性理论的重新考虑,应用故学相力学,12(3)(1991),3.
[6]	Blackw.,lder,R,F.and R,E.Kaplan,J.Fluid Mech.78(1976),89.
[7]	White,F.M,,Tliscous Fluid Flow,Mc GRAW-Hill Brook Company(1974).