Acoustical theory of turbulence
Abstract
Fluid functions are expanded in a series of functions constituting a complete and orthogonal system of wave solutions of the linearized NavierStokes system. The motion of characteristic waves is described by Hamiltonian equations of ray acoustics. Amplitude of the waves is described with the aid of nonlinear interaction terms. The distribution functions (squares of amplitudes) satisfy Boltzmanntype equations and completely describe the mean turbulence properties.
 Publication:

Archiv of Mechanics, Archiwum Mechaniki Stosowanej
 Pub Date:
 1974
 Bibcode:
 1974ArMeS..26..805K
 Keywords:

 Acoustic Properties;
 Oscillating Flow;
 Perturbation Theory;
 Turbulent Flow;
 Aerodynamic Noise;
 Boltzmann Transport Equation;
 Distribution Functions;
 Hamiltonian Functions;
 NavierStokes Equation;
 Noise Propagation;
 Quantum Theory;
 Statistical Mechanics;
 Time Dependence;
 Wave Equations;
 Fluid Mechanics and Heat Transfer