航空学报 > 1994, Vol. 15 Issue (4): 399-404

平板绕流的抛物化Navier-Stokes方程分析

陈国谦, 陈矛章   

  1. 北京航空航天大学动力系,北京,100083
  • 收稿日期:1992-05-21 修回日期:1993-03-06 出版日期:1994-04-25 发布日期:1994-04-25

ON THE VISCOUS FLOW PAST A FLATPLATE VIA THE PARABOLIZED NAVIER-STOKES EQUATION

Chen Guoqian, Chen Maozhang   

  1. Department of Jet Propulsion, Beijing University of Aeronautics and Astronautics,Beijing,100083
  • Received:1992-05-21 Revised:1993-03-06 Online:1994-04-25 Published:1994-04-25

摘要: 对于绕有限长平板不可压粘性层流问题,循抛物化Navier-Stokes(PNS)方程,进行PLK坐标摄动分析,推得与Navier-Stokes(NS)方程结果完全一致的摩擦阻力规律。该规律在15<Re<10_4范围内成立,证实PNS方程适应中等Reynolds数流动。

关键词: 纳维-斯托克斯方程, 平板, 简化

Abstract: ased on the parabolized Navier-Stokes equations,a law of drag coefficient is found by the perturbational analysis of PLK type which is exactly equivalent to that based on the complete Navier-Stokes equations,as far as the problem of an incompressible laminar flow past a finite flat plate at zero incidenee is coneerned. The fact that this law is valid for flows with Reynolds number down to 15 illustrates the adaptability of the parabolized Navier-Stokes equa-tions to viscous flows with moderately low Reynolds number.

Key words: Navier-Stokes equaiton, flat plates, simplification

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