Numerical Modelling of the Dynamics of a Cylindrical Turbulent Patch in a Longitudinal Shear Flow

Abstract: Based on a modified two-equation model of turbulence, the numerical model of the dynamics of a cylindrical localized zone of turbulent mixing in a longitudinal uniform shear flow of homogeneous fluid is constructed. The results of the numerical experiments demonstrate significant turbulent energy generation caused by the effect of the shear flow. The question of the similarity of the flow with respect to the shear Froude number is considered. The results of the numerical experiments show the similarity of the flow for large values of this parameter, which correspond to small values of the velocity gradients of the shear flow.