Marangoni convection in binary mixtures with Soret effect - Archive ouverte HAL Access content directly
Journal Articles Journal of Fluid Mechanics Year : 1998

Marangoni convection in binary mixtures with Soret effect


Marangoni convection in a differentially heated binary mixture is studied numerically by continuation. The fluid is subject to the Soret effect and is contained in a two-dimensional small-aspect-ratio rectangular cavity with one undeformable free surface. Either or both of the temperature and concentration gradients may be destabilizing; all three possibilities are considered. A spectral-element time-stepping code is adapted to calculate bifurcation points and solution branches via Newton's method. Linear thresholds are compared to those obtained for a pure fluid. It is found that for large enough Soret coefficient, convection is initiated predominantly by solutal effects and leads to a single large roll. Computed bifurcation diagrams show a marked transition from a weakly convective Soret regime to a strongly convective Marangoni regime when the threshold for pure fluid thermal convection is passed. The presence of many secondary bifurcations means that the mode of convection at the onset of instability is often observed only over a small range of Marangoni number. In particular, two-roll states with up-flow at the centre succeed one-roll states via a well-defined sequence of bifurcations. When convection is oscillatory at onset, the limit cycle is quickly destroyed by a global (infinite-period) bifurcation leading to subcritical steady convection.
Fichier principal
Vignette du fichier
1998Marangoni_convection_binary_mixtures_Soret_effect.pdf (1.81 Mo) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

hal-00140469 , version 1 (06-04-2007)



Alain Bergeon, Daniel Henry, H. Ben Hadid, L. S. Tuckerman. Marangoni convection in binary mixtures with Soret effect. Journal of Fluid Mechanics, 1998, 375, pp.143-177. ⟨10.1017/S0022112098002614⟩. ⟨hal-00140469⟩
377 View
369 Download



Gmail Facebook X LinkedIn More