The Effect of Slow Variation of Base Flow Profile on the Stability of Slightly Curved Mixing Layers

The effect of small non-parallelism of the base flow on the stability of slightly curved mixing layers is analyzed in the present paper. Assuming that the instability wavelength is much smaller than the length scale of the variation of the base flow we derive an amplitude evolution equation using the method of multiple scales. The proposed asymptotic model provides connection between parallel flow approximations and takes into account slow longitudinal variation of the base flow.

Authors:

• Irina Eglite
• Andrei A. Kolyshkin

Keywords:

• shallow water
• parallel flow assumption
• weaklynonlinear analysis
• method of multiple scales

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