The use of a model of axisymmetric turbulence for analysis of statistical characteristics of pulsation motion in a uniform-mean-shear-flow

This paper continues the description of investigations started in [1], where we substantiate the gradient correlation between the second and third two-point moments of isotropic turbulence and give the results of calculations of its degeneration, as well as the results of calculation of turbulence in a uniform shear flow, with the turbulence assumed to be isotropic. A semiempirical model of turbulence in a uniform shear flow is constructed which is based on the equations for the second two-point moments assuming the axial symmetry of the statistical characteristics of turbulence. Use is made of the theory of axisymmetric turbulence [2]. The derived equations are closed using the gradient formula suggested in [1]. The suggested model enables one to find the kinetic energy of pulsation motion and its components (on the assumption of axial symmetry), two-point correlation moments, and all known scales of turbulence that are determined on the basis of two-point moments. The calculation results are in adequate agreement with the experimental data.