The nonlinear evolution of the inviscid secondary instability of streamwise vortex structures | Zendy

Nicholas D. Blackaby | Zendy; Philip Hall | Zendy

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The nonlinear evolution of the inviscid secondary instability of streamwise vortex structures

Author(s) -

Nicholas D. Blackaby,

Philip Hall

Publication year - 1995

Publication title -

philosophical transactions of the royal society of london series a physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 2054-0299

pISSN - 0962-8428

DOI - 10.1098/rsta.1995.0084

Subject(s) - inviscid flow , vortex , boundary layer , instability , physics , singularity , mechanics , nonlinear system , vortex sheet , classical mechanics , mathematical analysis , vorticity , mathematics , quantum mechanics

The weakly nonlinear evolution of an inviscid marginally unstable wave growing on a boundary layer supporting a streamwise vortex structure is investigated. The nonlinear growth of the wave is found to be controlled by the diffusion layer located at the edge of the critical layer associated with the wave. The evolution equation is found to depend on the upstream history of the wave and the solution of the equation suggests that the wave either restructures the mean state so as to make it stable or develops a singularity at a finite distance downstream of the point of neutral stability.

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