Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1403-1410.

• 论文 • 上一篇    下一篇

OBJECTIVITY REQUIREMENT FOR FLUID DYNAMICS

邹文楠1,2   

  1. 1. State Key Laboratory for Studies of Turbulence and Complex Systems, Peking University, Beijing 100871, P.R.China;
    2. Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P.R.China
  • 收稿日期:2001-12-11 修回日期:2003-07-02 出版日期:2003-12-18 发布日期:2003-12-18
  • 通讯作者: LIN Jian-zhong
  • 基金资助:
    the Post-Doctoral Science Foundation of China

OBJECTIVITY REQUIREMENT FOR FLUID DYNAMICS

ZOU Wen-nan 1,2   

  1. 1. State Key Laboratory for Studies of Turbulence and Complex Systems, Peking University, Beijing 100871, P.R.China;
    2. Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P.R.China
  • Received:2001-12-11 Revised:2003-07-02 Online:2003-12-18 Published:2003-12-18
  • Supported by:
    the Post-Doctoral Science Foundation of China

摘要: A new flow theory is established through the objectivity requirement on the fluid dynamics. It was known that inhomogeneous fluid motion gave rise to viscous force while the selection of observers on different space-time points would change such an inhomogeneous character.Therefore,when the viscous force was considered as an objective existence foreign to the selection of observers,the form invariances of viscous force and momentum equation under local rotation transformation required a new dynamic field,namely the vortex field to be introduced.Then the dynamical equations of all flow fields were obtained through constructing the Lagrangian density of fluid system and using the variational approach of energy.

Abstract: A new flow theory is established through the objectivity requirement on the fluid dynamics. It was known that inhomogeneous fluid motion gave rise to viscous force while the selection of observers on different space-time points would change such an inhomogeneous character.Therefore,when the viscous force was considered as an objective existence foreign to the selection of observers,the form invariances of viscous force and momentum equation under local rotation transformation required a new dynamic field,namely the vortex field to be introduced.Then the dynamical equations of all flow fields were obtained through constructing the Lagrangian density of fluid system and using the variational approach of energy.

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