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Nonparallel and nonlinear stability of supersonic jet flow. (English) Zbl 0978.76030
From the summary: Linear and nonlinear evolution of disturbances in an axisymmetric, supersonic, low Reynolds number jet is studied using parabolized stability equations. We consider both axisymmetric and helical modes, and nonparallel effect is found to increase the disturbance growth rate, although there is a very little effect on the wavenumber. Nonlinear interaction of helical modes, which are dominant instability modes of the jet, results in disturbance saturation, spectrum filling and large mean flow distortions. Similar to that for the supersonic boundary layer flow, interaction of helical modes induces streamwise vortices which cause significant mean flow distortion and growth of other harmonics. The computed evolution of disturbances is in reasonably good agreement with experimental data.

MSC:
76E09 Stability and instability of nonparallel flows in hydrodynamic stability
76E30 Nonlinear effects in hydrodynamic stability
76M20 Finite difference methods applied to problems in fluid mechanics
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