%0 Journal Article %A Irina Eglite and Andrei A. Kolyshkin %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 52, 2011 %T The Effect of Slow Variation of Base Flow Profile on the Stability of Slightly Curved Mixing Layers %U https://publications.waset.org/pdf/15149 %V 52 %X 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. %P 571 - 574