TY - JOUR
T1 - Quasi-variational principle and general quasi-variational principle for incompressible flow boundary value problems
AU - Hao, Ming Wang
AU - Liang, Li Fu
AU - Ye, Zheng Yin
PY - 2010/6
Y1 - 2010/6
N2 - 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 quasi-variational 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.
AB - 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 quasi-variational 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.
KW - Boundary value problem
KW - Quasi-variational principle
KW - Variational integral operation
KW - Viscous fluid
UR - http://www.scopus.com/inward/record.url?scp=77955031970&partnerID=8YFLogxK
M3 - 文章
AN - SCOPUS:77955031970
SN - 0258-1825
VL - 28
SP - 297
EP - 301
JO - Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica
JF - Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica
IS - 3
ER -