Structure and Dynamics of Nonlinear Convective States in Binary Fluid Mixtures
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Various properties of traveling wave (TW) and stationary overturning convection (SOC) are determined for ethanol—water parameters by finite—differences numerical solutions of the basic hydrodynamic field equations subject to realistic horizontal boundary conditions. Bifurcation— and phase diagrams for TW and SOC solutions are presented. Unstable SOC patterns that decay into a stable TW or the conductive state can be stabilized by phase pinning lateral boundaries. The structural changes at the transition TW ↔ SOC are shown. The mean flow, the lateral currents of heat and concentration, and the particle motion associated with a TW are elucidated.
KeywordsNusselt Number Rayleigh Number Travel Wave Solution Conductive State Solution Branch
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- 1.For an early review see J. K. Platten and J. C. Legros, Convection in Liquids (Springer, Berlin, 1984). For later work we refer to the references in recent experimental (Refs. 2–5,26,29) and theoretical (Refs. 6–20) papers.Google Scholar
- 7.W. Hort, Diplomarbeit, Universität Saarbrücken, 1990 (unpublished).Google Scholar
- 11.S. J. Linz, Ph. D. thesis, Universität Saarbrücken, 1989 (unpublished).Google Scholar
- 12a.W. Schöpf, Diplomarbeit, Universität Bayreuth, 1988 (unpublished).Google Scholar
- 20.H. Yahata (unpublished).Google Scholar
- 22.J. E. Welch, F. H. Harlow, J. P. Shannon, and B. J. Daly, Los Alamos Scientific Laboratory Report No. LA—3425, 1966.Google Scholar
- 23.C. W. Hirt, B. D. Nichols, and N. C. Romero, Los Alamos Scientific Laboratory Report No. LA-5652, 1975.Google Scholar
- 25.W. Barten, M. Lücke, and M. Kamps, J. Comp. Phys. (in press).Google Scholar
- 27.For our estimates we use T0= 300 K, ΔT = 7 K, α =3–10–4 K-1, β=0.15. Thus for C 0= 8 weight % ethanol in water C0 = 5.7 in reduced units. Furthermore we take a TW at Ψ = — 0.25 near the saddle with extrema <uδT> ≃ 0.06, <uδC> ≃ — 0.07 at z = 1/4 and U ≃ — 0.001 at z = 1/2.Google Scholar
- 28.W. Barten, M. Lücke, and M. Kamps, unpublished.Google Scholar