航空学报 > 1995, Vol. 16 Issue (5): 587-591

N-S方程及其简化形式在圆柱绕流分离点邻域的数学性质

彭世镠, 高智   

  1. 中国科学院力学研究所,北京,100080
  • 收稿日期:1993-09-16 修回日期:1994-06-10 出版日期:1995-10-25 发布日期:1995-10-25

MATHEMATICAL CHARACTER OF N-S EQUATIONS AND SN-S EQUATIONS NEAR THE SEPARATION POINT FOR 2D FLOW OVER A CYLINDER

Peng Shiliu, Gao Zhi   

  1. Institute of Mechanics, Chinese Academy of Scienses,Beijing,100080
  • Received:1993-09-16 Revised:1994-06-10 Online:1995-10-25 Published:1995-10-25

摘要: 证明了在圆柱绕流分离点的邻域上 ,N-S方程和高智的简化 N-S方程是正则的 ,即存在级数解 ;而 Davis和 ГКП的简化 N-S与经典的边界层方程一样存在 Goldstein奇性

关键词: 分离流, 纳维-斯托克斯方程, 圆柱体, 二维流

Abstract: It is proved that near the separation point over a cylinder N S equations and SN S equations presented by Gao Zhi are regular,i.e. have series solution; while SN S equations presented by Davis and ГКП are singular just as the boundary layer equations.

Key words: separated flow, Navier-Stokes equation, cylindrical bodies, two dimensional flow

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