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不可压缩N S方程对气体粘性流的适用性研究
A Proof of the Incompressibility of Steady Flow of Viscous Gas
【摘要】 气体定常粘性流在理论上和工程上都是十分重要的问题. 一般NS方程求精确解很困难. 不可压缩NS方程在若干情况下( 如在等截面管道) 已获得精确解. 但不可压缩NS方程是否适用于气体粘性流, 适用条件又是什么, 这是长期未解决的问题. 本文从一般NS方程和连续性方程出发, 对最有实际意义的等截面管道情况, 证明气体定常粘性流并未被压缩, 不可压缩NS方程是适用的. 对气体径向辐射粘性流, 给出了同样证明.
【Abstract】 The problem of steady flow of viscous gas in tubes of uniform section(eg.circular,rectangular,elliptic etc)was solved long ago based on the assumption of the incompressibility of gas.Nevertheless,this assumption of incompressibility has not been proven.The purpose of this paper is to prove the incompressibility of steady viscous gas flow in tubes with uniform section.The incompressibility of the radial flow of viscous gas is also proved.
【关键词】 NS方程;
连续性方程;
定常粘性流;
不可压缩性;
等截面管道;
【Key words】 Navier-Stokes equation; continuity equation; steady viscous fluid flow,incompressibility; tube with uniform section;
【Key words】 Navier-Stokes equation; continuity equation; steady viscous fluid flow,incompressibility; tube with uniform section;
- 【文献出处】 深圳大学学报 ,Shenzhen University Journal , 编辑部邮箱 ,1999年04期
- 【分类号】O357
- 【被引频次】3
- 【下载频次】140