航空学报 > 1993, Vol. 14 Issue (1): 76-79

机械能方程的耗散积分解析表示式

何龙德   

  1. 中国科学院力学研究所 北京 100080
  • 收稿日期:1991-12-03 修回日期:1992-06-08 出版日期:1993-01-25 发布日期:1993-01-25

ANALYTICAL EXPRESSION OF DISSIPATION INTEGRAL FOR KINETIC ENERGY INTEGRAL EQUATION

He Long-de   

  1. Institute of Mechanics, Academia Sinica, Beijing, 100080
  • Received:1991-12-03 Revised:1992-06-08 Online:1993-01-25 Published:1993-01-25

摘要: 发展了二维可压湍流边界层的耗散积分方法。采用两层涡粘性模型和速度剖面的指数律导出机械能方程的耗散积分解析表示式。它是局部摩阻系数、形状因子,Ma数和基于动量厚度的Re数的函数。该方法运算简捷,使用方便,大大简化了湍流边界层计算。和其他理论结果相比,本文结果更接近于实验数据。

关键词: 可压缩流, 边界层, 涡粘性, 耗散积分

Abstract: A dissipation integral method is developed for calcalating compressible turbulentboundary layers on planar bodies. An analytical expression of dissipation integral for kinetic energy integral equation is derived by two-layer eddy viscosity turbulence model and the power law of the velocity profile. The analytical expression depends on the local values of skin friction, shape factor, Mach number, and Reynolds number based on momentum thickness. The method is easy to use, and thus the calcalation of the turbulent boundary layers is significantly simplified. The analytical expression is in better agreement with experimental data than other theoretical results.

Key words: compressible flow, boundary layers, eddy viscosity, dissipation integral