On the condition of pseudosimilarity and the theory of turbulence
Abstract
Reynolds (1895) has developed the theory of turbulence on the basis of the NavierStokes equations of motion for incompressible viscous fluids. For more than 40 years after the publication of Reynolds' paper, research regarding turbulence was mainly concerned with investigations related to Reynolds' equations of mean motion. A new stage in turbulence research began with the application of the equations of turbulent fluctuations by Rotta (1951). Because of the nonlinearity of the NavierStokes equations, the dynamical equations of velocity correlations are not closed. Zhou (1940) has treated the closure problem by making assumptions regarding the relation between the quadruple and double velocity correlations, the correlation of velocity and pressure fluctuations, and the terms in viscous decay. Zhou (1945) considered also views regarding the rigorous solution of the turbulence problem. In the present paper the condition of pseudosimilarity is generalized for homogeneous isotropic turbulence to general turbulent shear flows.
 Publication:

Scientia Sinica Series Mathematical Physical Technical Sciences
 Pub Date:
 April 1985
 Bibcode:
 1985SSSMP..28..405Z
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 Flow Theory;
 Turbulent Flow;
 Turbulent Wakes;
 Correlation;
 Equations;
 Flow Velocity;
 Shear Flow;
 Similarity Theorem;
 Fluid Mechanics and Heat Transfer