Kinematics of Homogeneous Turbulence

  • Marcel Lesieur
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 1)

Abstract

From a mathematical standpoint, the velocity field \(\vec u\left( {\vec x,t} \right) \) will be assumed to be a random function defined on a sample space (see e.g. Papoulis, 1965). One can imagine for instance that we record the longitudinal air velocity at a given location in a wind tunnel: if the experiment is repeated N times in the same conditions, one obtains N realizations of the velocity evolution, each of them corresponding to a point in the sample space. For instance Figure V-l represents four recordings of the u’velocity fluctuations obtained in such an experiment.

Keywords

Isotropic Turbulence Fourier Space Local Frame Incompressibility Condition Velocity Correlation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Marcel Lesieur
    • 1
  1. 1.National Polytechnic InstituteSchool of Hydraulics and MechanicsGrenobleFrance

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