流体平面运动与最小能耗率原理  

The motion of flow in plane and theory of the minimum rate of energy dissipation

作　　者：吴昊[1] 马跃先[1] 

机构地区：[1]郑州大学环境与水利学院,河南郑州450002

出　　处：《水动力学研究与进展（A辑）》2004年第6期709-712,共4页Chinese Journal of Hydrodynamics

基　　金：河南省科技攻关资助项目(0124190108)

摘　　要：　最小能耗率原理在流体运动中是否是一个普适原理,一直存在着不同的观点。本文以恒定不可压缩流体平面运动为研究对象,利用流体力学的运动方程、连续方程和能耗率方程,通过引入流函数,得到了最小能耗率原理成立的充分和必要条件,并由该条件得出最小能耗率原理在流体运动中并不是一个普适原理。It has been discussed that the generality of the theory of minimum rate energy of dissipation in motion of flow since the theory was presented. In this paper, the steady motion of flow in plane is researched. By introducing the stream function based on the dynamics equations and continuity equation, the sufficient and necessary conditions for the theory are drawn.

关 键 词：流体 平面运动 最小能耗率原理 充要条件 

分 类 号：O357.1[理学—流体力学]