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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:64148", author = "Irina Eglite and Andrei A. Kolyshkin", title = "The Effect of Slow Variation of Base Flow Profile on the Stability of Slightly Curved Mixing Layers", abstract = "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.", keywords = "shallow water, parallel flow assumption, weaklynonlinear analysis, method of multiple scales", volume = "5", number = "4", pages = "694-4", }