864 research outputs found
Strongly nonlinear convection in binary fluids: Minimal model for extended states using symmetry decomposed modes
Spatially extended stationary and traveling states in the strongly nonlinear
regime of convection in layers of binary fluid mixtures heated from below are
described by a few-mode-model. It is derived from the proper hydrodynamic
balance equations including experimentally relevant boundary conditions with a
non-standard Galerkin approximation that uses numerically obtained, symmetry
decomposed modes. Properties of the model are elucidated and compared with full
numerical solutions of the field equations.Comment: 16 pages, including 5 postscript figure
Oscillatory convection in binary mixtures: thermodiffusion, solutal buoyancy, and advection
The role of thermodiffusive generation of concentration fluctuations via the
Soret effect, their contribution to the buoyancy forces that drive convection,
the advective mixing effect of the latter, and the diffusive homogenisation are
compared and elucidated for oscillatory convection. Numerically obtained
solutions of the field equations in the form of spatially extended relaxed
traveling waves, of standing waves, and of the transient growth of standing
waves and their transition to traveling waves are discussed as well as
spatially localized convective states of traveling waves that are surrounded by
the quiescent fluid.Comment: 30 pages, 10 figure
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