Multiwave nonlinear interactions in the axisymmetric mode

Abstract

Nonlinear wave-wave interactions in turbulent jets were investigated based on the integrated energy of each scale of motion in a cross section of the jet. The analysis indicates that two frequency components in the axisymmetric mode can interact with other background frequencies in the axisymmetric mode, thereby amplifying an enormous number of other frequencies. The present computations produce several features consistent with experimental observations such as dependency of the interactions on the initial phase differences; enhancement of the momentum thickness under multi-frequency forcing: and an increase in background turbulence under forcing.