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

World Academy of Science, Engineering and Technology: International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering 2011
Irīna Eglīte, Andrejs Koliškins

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, weakly nonlinear analysis, method of multiple scales
DOI
10.5281/zenodo.1084488
Hyperlink
http://publications.waset.org/15149/pdf

Eglīte, I., Koliškins, A. The Effect of Slow Variation of Base Flow Profile on the Stability of Slightly Curved Mixing Layers. World Academy of Science, Engineering and Technology: International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 2011, Vol. 5, No. 4, pp.682-685. ISSN 2010-376X. e-ISSN 2010-3778. Available from: doi:10.5281/zenodo.1084488

Publication language
English (en)