WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 10, 2015
Spatial and Temporal Instability of Shallow Mixing Layers in the Presence of Non-Constant Resistance Force
Authors: Ilmars Iltins, Marija Iltina, Valentina Koliskina, Andrei Kolyshkin, Inta Volodko
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.