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Multiple large-scale coherent mode interactions in a developing round jet

Published online by Cambridge University Press:  26 April 2006

Sang Soo Lee
Affiliation:
Division of Engineering, Brown University, Providence, R.I. 02912, USA Present address: Sverdrup Technology, Inc., MS 5-9, NASA Lewis Research Center Group, Cleveland, OH 44135, USA.
J. T. C. Liu
Affiliation:
Division of Engineering, Brown University, Providence, R.I. 02912, USA

Abstract

The integral energy method has been used to study the nonlinear interactions of the large-scale coherent structure in a spatially developing round jet. The streamwise development of a jet is obtained in terms of the mean flow shear-layer momentum thickness, the wave-mode kinetic energy and the wave-mode phase angle. With the energy method, a system of partial differential equations is reduced to a system of ordinary differential equations. The nonlinear differential equations are solved with initial conditions which are given at the nozzle exit. It is shown that the initial wave-mode energy densities as well as the initial phase angles play a significant role in the streamwise evolution of the large-scale coherent wave modes and the mean flow.

Type
Research Article
Copyright
© 1993 Cambridge University Press

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