Applied Mathematics and Mechanics

, Volume 24, Issue 12, pp 1403–1410 | Cite as

Objectivity requirement for fluid dynamics

  • Zou Wen-nan


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.

Key words

viscous interaction invariance wortex field Lagrangian density turbulence 

Chinese Library Classification number


2000 Mathematics Subject Classification

76F02 76A02 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Zou Wen-nan
    • 1
    • 2
  1. 1.State Key Laboratory for Studies of Turbulence and Complex SystemsPeking UniversityBeijingP. R. China
  2. 2.Institute of Engineering MechanicsNanchang UniversityNanchangP. R. China

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