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EnglishThe nonlinear stability of the motionless state of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme, for stress-free and rigid-rigid boundary conditions and Schmidt numbers PC greater than Prandtl numbers PT, is studied in the region around the bifurcation point C-0(2) = R-B(2) (PT + 1) / [P-T (p - 1)] of linear instability. An improvement of the results in Mulone [11] is found for small values of p = P-C / P-T and P-T. For p sufficiently large the critical nonlinear Rayleigh number is very close to the linear one (with relative difference less than 1% in the sea water case).
| Titolo: | Global nonlinear stability in the Benard problem for a mixture near the bifurcation point |
| Autori interni: | |
| Data di pubblicazione: | 2003 |
| Rivista: | |
| Abstract: | The nonlinear stability of the motionless state of a binary fluid mixture heated and salted from below, in the Oberbeck-Boussinesq scheme, for stress-free and rigid-rigid boundary conditions and Schmidt numbers PC greater than Prandtl numbers PT, is studied in the region around the bifurcation point C-0(2) = R-B(2) (PT + 1) / [P-T (p - 1)] of linear instability. An improvement of the results in Mulone [11] is found for small values of p = P-C / P-T and P-T. For p sufficiently large the critical nonlinear Rayleigh number is very close to the linear one (with relative difference less than 1% in the sea water case). |
| Handle: | http://hdl.handle.net/20.500.11769/10155 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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