摘要
通过将不可压粘性流体力学的控制方程乘上相应的虚量,然后积分,并代数相加,进而建立了不可压粘性流体力学边值问题的一组拟变分原理和广义拟变分原理(这种建立变分原理的方法称为变积方法),最后通过经典的Hagen-Poiseuille流动为例来说明拟变分原理的应用。
In this paper, by multiplying pertinent virtual variables to the governing equations of incompressible viscous flow, and integrating the equations, and then adding them algebraically together, the quasivariational principles for the incompressible viscous flow are established （such process is called variational integral method）. At the last section of the paper, Hagen-Poiseuille＇s flow, a classical example, is presented to show the application of the quasi-variational principles of viscous flow boundary value problems.
出处
《空气动力学学报》
EI
CSCD
北大核心
2010年第3期297-301,共5页
Acta Aerodynamica Sinica
基金
国家自然科学基金(10802067)
博士学科点专项科研基金(20060217020)
关键词
粘性流体
拟变分原理
边值问题
变积运算
viscous fluid
quasi-variational principle
boundary value problem
variational integral operation
