Some consequences of the nucleation theorem for binary fluids

1995 ◽  
Vol 102 (17) ◽  
pp. 6846-6850 ◽  
Author(s):  
David W. Oxtoby ◽  
Ari Laaksonen
Keyword(s):  
Binary Fluids ◽  
Nucleation Theorem

Pattern Formation in Binary Fluids Confined between Rough, Chemically Heterogeneous Surfaces

2004 ◽  
Vol 93 (18) ◽  
Author(s):  
R. Verberg ◽  
C. M. Pooley ◽  
J. M. Yeomans ◽  
Anna. C. Balazs
Keyword(s):  
Pattern Formation ◽  
Heterogeneous Surfaces ◽  
Binary Fluids

Dynamics of phase separation of binary fluids

1992 ◽  
Vol 45 (8) ◽  
pp. R5347-R5350 ◽  
Author(s):  
Wen-Jong Ma ◽  
Amos Maritan ◽  
Jayanth R. Banavar ◽  
Joel Koplik
Keyword(s):  
Phase Separation ◽  
Binary Fluids

The First Heterogeneous Nucleation Theorem Including Line Tension: Analysis of Experimental Data

2007 ◽  
pp. 230-234 ◽  
Author(s):  
Anca I. Hienola ◽  
Hanna Vehkamäki ◽  
Antti Lauri ◽  
Paul E. Wagner ◽  
Paul M. Winkler ◽  
...  
Keyword(s):  
Experimental Data ◽  
Heterogeneous Nucleation ◽  
Line Tension ◽  
Nucleation Theorem ◽  
Tension Analysis

scholarly journals Linear biglobal analysis of Rayleigh–Bénard instabilities in binary fluids with and without throughflow

2012 ◽  
Vol 713 ◽  
pp. 216-242 ◽  
Author(s):  
Jun Hu ◽  
Daniel Henry ◽  
Xie-Yuan Yin ◽  
Hamda BenHadid
Keyword(s):  
Reynolds Number ◽  
Rayleigh Number ◽  
Aspect Ratio ◽  
Critical Rayleigh Number ◽  
Two Dimensional ◽  
Binary Fluids ◽  
Transverse Modes ◽  
Aspect Ratios ◽  
Rayleigh Benard ◽  
Mode A

AbstractThree-dimensional Rayleigh–Bénard instabilities in binary fluids with Soret effect are studied by linear biglobal stability analysis. The fluid is confined transversally in a duct and a longitudinal throughflow may exist or not. A negative separation factor $\psi = \ensuremath{-} 0. 01$, giving rise to oscillatory transitions, has been considered. The numerical dispersion relation associated with this stability problem is obtained with a two-dimensional Chebyshev collocation method. Symmetry considerations are used in the analysis of the results, which allow the classification of the perturbation modes as ${S}_{l} $ modes (those which keep the left–right symmetry) or ${R}_{x} $ modes (those which keep the symmetry of rotation of $\lrm{\pi} $ about the longitudinal mid-axis). Without throughflow, four dominant pairs of travelling transverse modes with finite wavenumbers $k$ have been found. Each pair corresponds to two symmetry degenerate left and right travelling modes which have the same critical Rayleigh number ${\mathit{Ra}}_{c} $. With the increase of the duct aspect ratio $A$, the critical Rayleigh numbers for these four pairs of modes decrease and closely approach the critical value ${\mathit{Ra}}_{c} = 1743. 894$ obtained in a two-dimensional situation, one of the mode (a ${S}_{l} $ mode called mode A) always remaining the dominant mode. Oscillatory longitudinal instabilities ($k\approx 0$) corresponding to either ${S}_{l} $ or ${R}_{x} $ modes have also been found. Their critical curves, globally decreasing, present oscillatory variations when the duct aspect ratio $A$ is increased, associated with an increasing number of longitudinal rolls. When a throughflow is applied, the symmetry degeneracy of the pairs of travelling transverse modes is broken, giving distinct upstream and downstream modes. For small and moderate aspect ratios $A$, the overall critical Rayleigh number in the small Reynolds number range studied is only determined by the upstream transverse mode A. In contrast, for larger aspect ratios as $A= 7$, different modes are successively dominant as the Reynolds number is increased, involving both upstream and downstream transverse modes A and even the longitudinal mode.

Sign in / Sign up

Export Citation Format

Share Document