Kinematics of Homogeneous Turbulence

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


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.


Isotropic Turbulence Fourier Space Local Frame Incompressibility Condition Velocity Correlation 
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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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