不可压粘性流体力学的边值问题的拟变分原理及其广义拟变分原理  

Quasi-variational principle and general quasi-variational principle for incompressible flow boundary value problems

作　　者：郝名望[1] 梁立孚 叶正寅[1] 

机构地区：[1]西北工业大学翼型叶栅空气动力学国防科技重点实验室,陕西西安710072 [2]哈尔滨工程大学航天工程系,黑龙江哈尔滨150001

出　　处：《空气动力学学报》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)

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.

关 键 词：粘性流体 拟变分原理 边值问题 变积运算 

分 类 号：O343[理学—固体力学]