Abstract: Two methods for linear stability analysis of shallow mixing layers are presented in the paper: temporal stability analysis and spatial stability analysis. The combined effect of small curvature and nonconstant friction force in the transverse direction is analyzed. Both spatial and temporal linear stability problems are solved numerically by means of a collocation method based on Chebyshev polynomials. Marginal stability curves are obtained for different values of the parameters of the problem. It is shown that both curvature and variable friction stabilize the flow.
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WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 10, 2015, Art. #27
Ilmars Iltins, Marija Iltina, Valentina Koliskina, Andrei Kolyshkin, Inta Volodko, "Spatial and Temporal Instability of Shallow Mixing Layers in the Presence of Non-Constant Resistance Force," WSEAS Transactions on Applied and Theoretical Mechanics, vol. 10, pp. 241-246, 2015, DOI:
Ilmars Iltins, Marija Iltina, Valentina Koliskina, Andrei Kolyshkin, Inta Volodko. Spatial and Temporal Instability of Shallow Mixing Layers in the Presence of Non-Constant Resistance Force.
WSEAS Transactions on Applied and Theoretical Mechanics. 2015;10:241-246.