Abstract
For noise reduction purposes, it is often desirable to promote rapid mixing close to the jet exhaust. Excited high-frequency coherent wave modes for mixing enhancement in the initial region of high-speed jet exhaust were studied theoretically. The jet in this region is modeled as a two-dimensional mixing layer. Integral kinetic energy equations for the mean flow and the control modes are derived from the compressible Navier-Stokes equations, with the flow quantities split into mean, coherent wave modes and fine-grained turbulence. Turbulence effects are characterized by an eddy viscosity; the coherent modes are explicitly characterized by their nonlinear amplitudes and the shape functions of the eigenmodes of a local linear stability theory according to the developing shear layer. The initial region considered is two dimensional where the initial boundary layer is assumed to he thin relative to the jet size. The upstream velocity and temperature wake, due to wall boundary layers, are accommodated in the mean flow shape assumptions
Published Version
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