A note on nearly two-dimensional weakly nonlinear instability of an incompressible free shear layer. (English) Zbl 0938.76034
Summary: The weakly nonlinear amplitude growth of slightly oblique instability waves in an incompressible free shear layer is shown to be first influenced by three-dimensionality in a limiting case for large Reynolds number, when a particular order relationship is chosen between the spanwise scale and the amplitude of the small disturbance. The formulation resembles that for purely two-dimensional motion but includes the effect of vortex stretching in the nonequilibrium, nonlinear, viscous critical layer.
MSC:
76E30 | Nonlinear effects in hydrodynamic stability |
76E05 | Parallel shear flows in hydrodynamic stability |
76E17 | Interfacial stability and instability in hydrodynamic stability |