The Relation of Density and Temperature Fluctuations to the Kinetic Energy of Turbulence in the Atmospheric Boundary Layer

It is shown that the development of the turbulence theory should aim at studying not only incompressible vortex component but also the adiabatic one, first of all, pressure and density fluctuations. The intensity of the pressure fluctuations in a turbulent flow is compared with fluctuations of the potentially available energy of Lagrangian particles. An equation linking the smoothing of entropy fluctuations with the generation rate of adiabatic fluctuations is proposed. The rate constant of entropy fluctuation smoothing is estimated from measurements in the atmospheric boundary layer. This constant allows one to relate the integral spatial scale of turbulent vortices to the standard deviation of the sound speed fluctuations in the atmospheric boundary layer. Estimates of the adiabatic noise amplitude in a turbulent medium are constructed and the relation between its energy and the correlation time of the vortex velocity fluctuations is shown.