Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1995-05-12
Phys. Rev. E, 52, 642-657 (1995)
Nonlinear Sciences
Pattern Formation and Solitons
14 pages and 10 figures as uuencoded Postscript file (using uufiles)
Scientific paper
10.1103/PhysRevE.52.642
Linear and nonlinear properties of convection in binary fluid layers heated from below are investigated, in particular for gas parameters. A Galerkin approximation for realistic boundary conditions that describes stationary and oscillatory convection in the form of straight parallel rolls is used to determine the influence of the Dufour effect on the bifurcation behaviour of convective flow intensity, vertical heat current, and concentration mixing. The Dufour--induced changes in the bifurcation topology and the existence regimes of stationary and traveling wave convection are elucidated. To check the validity of the Galerkin results we compare with finite--difference numerical simulations of the full hydrodynamical field equations. Furthermore, we report on the scaling behaviour of linear properties of the stationary instability.
Hollinger St.
Luecke Manfred
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