Linear Instability of Curved Shallow Mixing Layers

Recent Researches in Hydrology, Geology and Continuum Mechanics: The 6th IASME / WSEAS International Conference on Continuum Mechanics (CM'11) 2011
Irīna Eglīte, Andrejs Koliškins

Linear stability of slightly curved shallow mixing layers is analyzed in the present paper. Two base flow profiles are used in the analysis. One of the profiles corresponds to stably curved mixing layer while the second profile represents unstably curved mixing layer. Linear stability problem is solved numerically by means of a collocation method based on Chebyshev polynomials. Results of numerical computations show that the curvature has a stabilizing effect on stably curved mixing layer. The critical values of the bed-friction number increase as the curvature increases for the case of unstably curved mixing layer.

Keywords
shallow mixing layer, curvature, linear stability

Eglīte, I., Koliškins, A. Linear Instability of Curved Shallow Mixing Layers. In: Recent Researches in Hydrology, Geology and Continuum Mechanics: The 6th IASME / WSEAS International Conference on Continuum Mechanics (CM'11), United Kingdom, Cambridge, 23-25 February, 2011. Cambridge: WSEAS Press, 2011, pp.38-41. ISBN 9789604742752.

Publication language
English (en)