[1]张占渔.用因次分析法求取粘性流体运动的速度分布[J].东南大学学报(自然科学版),1987,17(3):117-127.[doi:10.3969/j.issn.1001-0505.1987.03.012]
 Zhang Zhanyu (Department of Power Engineering).Determination of the Velocity of Viscous Fluid Flow by Means of Dimensional Analysis Method[J].Journal of Southeast University (Natural Science Edition),1987,17(3):117-127.[doi:10.3969/j.issn.1001-0505.1987.03.012]
点击复制

用因次分析法求取粘性流体运动的速度分布()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
17
期数:
1987年第3期
页码:
117-127
栏目:
本刊信息
出版日期:
1987-05-20

文章信息/Info

Title:
Determination of the Velocity of Viscous Fluid Flow by Means of Dimensional Analysis Method
作者:
张占渔
南京工学院动力工程系
Author(s):
Zhang Zhanyu (Department of Power Engineering)
关键词:
不可压缩粘性流体 边界层流动 因次分析方法 方程的参量变换
Keywords:
incompressible viscous fluid boundary layer flow demensional analysis method parameter-transformation of equation
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1987.03.012
摘要:
在粘性流体运动的物理方程中,可用因次分析法对偏微分方程进行参量变换,使方程中的变量并缩、自变量减少,方程得以简化或常微分化。在边界层的流动问题中,本文采用非一般的“有向长度”基本量制的概念,不仅仍能保持方程各项的因次和谐性,还因基本量数的增加,可进一步使变量并缩、自变量减少,偏微分方程更易常微分化及求解。
Abstract:
A method of dimensional analysis is adopted to carry out the parameter- transformation in partial differential equations for viscous fluid flow.With which the parameters in PDEs are partially combined,the independent variables in it are reduced, and the PDEs might be simplified or become ordinary differential equations. A conception of special fundamental quantities which are extended with “directed length” is introduced into the dimensional analysis for boundary layer flow problems.It will not only still satisfy that all terms of a phy- sical equation must be dimensionally homogeneous,but also further make the parameters combined and the independent variables reduced.Thereby the PDEs will more easily become ODEs which may be solved.
更新日期/Last Update: 2013-05-01