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考虑流向曲率和压力梯度的可压缩边界层稳定性分析 被引量:8

Stability Analysis for Compressible Boundry Layers with Streamwise Curvature and Pressure Gradient
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摘要 以圆弧、平板和尖锥为研究对象,基于线性稳定性理论,重点讨论了曲率和压力梯度对可压缩边界层稳定性的影响。在研究中,采用Cebeci-Keler的盒子格式,计算了物体表面的边界层剖面;利用二点四阶的有限差分格式,求解了稳定性方程的特征值问题。研究结果表明:凸凹不同的曲率,会产生不同的稳定机制;顺压梯度对不同物形上边界层的不同模式不稳定波的影响具有较大差异。 Circular arc,flat plate and sharp cone were used as prototypes to investigate the effects of streamwise curvature and gradient on the stability of compressible boundary layers in the frame work of linear stability theory.The boundary layer profiles on the surface are calculated using the Cebeci Keller box scheme.The stability equations are solved to determine the eigenvalues using a two point fourth order accuracy finite difference scheme.It is shown that convex and concave curvature have different effects on the stability of the flow and the effect of favorable pressure gradient on stability is different for different bodied.
作者 袁湘江 周恒
机构地区 天津大学力学系
出处 《空气动力学学报》 CSCD 北大核心 1998年第3期276-281,共6页 Acta Aerodynamica Sinica
关键词 可压缩性 稳定性 边界层 线性 曲率 压力梯度 compressible stability linear theory boundary layer
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参考文献1

  • 1袁湘江,全国第八届计算流体力学会议论文集,1997年,8页

同被引文献58

  • 1LUO Jisheng, WANG Xinjun & ZHOU Heng Department of Mechanics, Tianjin University,Liu-Hui Center of Mathematics, Nankai and Tianjin University, Tianjin 300071, China.Inherent mechanism of breakdown in laminar-turbulent transition of plane channel flows[J].Science China(Physics,Mechanics & Astronomy),2005,48(2):228-236. 被引量:14
  • 2涂国华,袁湘江,陈陆军.适用于超声速的一种通量限制型紧致格式[J].航空学报,2004,25(4):327-332. 被引量:3
  • 3符松,王亮.湍流转捩模式研究进展[J].力学进展,2007,37(3):409-416. 被引量:48
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  • 5HU S, ZHONG X. Nonparallel stability analysis of compres- sible boundary layer using 3-D PSE [ R ]. AIAA 99 - 0813, 1999.
  • 6CHANG C, MALIK M R. Non-parallel stability of compres- sible boundary layers[ R]. AIAA 93 -2912, 1993.
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  • 9MALIK M R, BALAKUMAR P. Linear stability of three-di- mensional boundary layers-effects of curvature and non-paral- lelism[R]. AIAA 93 -0079, 1993.
  • 10CEBECI T, CHEN H H, KAUPS K. Further consideration of the effect of curvature on the stability of three-dimensional flows[J]. Computers & Fluids, 1992, 21(4) : 491 -502.

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