Convective instabilities of low Prandtl number fluids are subject to various studies. The purpose here is an extension to hydrodynamic transitions in the fluid phase with a free or rigid surface under phase change and to construct the corresponding bifurcation diagram. Investigations interesting the process control by using the latent heat and the solid/liquid thermal conductivity difference are considered. The solution methodology is based on a front localisation approach showing a very good ability to describe convection regimes coupled to the phase change transition in the case of vertical solidification with confinement.
L'investigation des instabilités convectives pour des fluides à faible nombre de Prandtl a fait l'objet de plusieurs études. Il s'agit ici de réaliser une extension à un bain fondu à surface libre ou rigide en changement de phase et de construire le diagramme de bifurcation correspondant. Quelques situations de contrôle à travers la chaleur latente et l'écart des conductivités solide/liquide sont considérées. L'approche de résolution adoptée est basée sur une méthode de localisation du front ayant montré une très bonne aptitude à la description des régimes convectifs en présence de changement de phase pour une configuration verticale confinée.
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Keywords: Computational fluid mechanics, Thermal convection, Transitions, Interface, Free surface
El Alami Semma 1, 2; Mohammed El Ganaoui 3; Abdelkhalek Cheddadi 2; Patrick Bontoux 1
@article{CRMECA_2003__331_9_631_0, author = {El Alami Semma and Mohammed El Ganaoui and Abdelkhalek Cheddadi and Patrick Bontoux}, title = {\'Etude num\'erique des instabilit\'es de la phase fluide et de l'interface de solidification en croissance dirig\'ee horizontale}, journal = {Comptes Rendus. M\'ecanique}, pages = {631--639}, publisher = {Elsevier}, volume = {331}, number = {9}, year = {2003}, doi = {10.1016/S1631-0721(03)00150-5}, language = {fr}, }
TY - JOUR AU - El Alami Semma AU - Mohammed El Ganaoui AU - Abdelkhalek Cheddadi AU - Patrick Bontoux TI - Étude numérique des instabilités de la phase fluide et de l'interface de solidification en croissance dirigée horizontale JO - Comptes Rendus. Mécanique PY - 2003 SP - 631 EP - 639 VL - 331 IS - 9 PB - Elsevier DO - 10.1016/S1631-0721(03)00150-5 LA - fr ID - CRMECA_2003__331_9_631_0 ER -
%0 Journal Article %A El Alami Semma %A Mohammed El Ganaoui %A Abdelkhalek Cheddadi %A Patrick Bontoux %T Étude numérique des instabilités de la phase fluide et de l'interface de solidification en croissance dirigée horizontale %J Comptes Rendus. Mécanique %D 2003 %P 631-639 %V 331 %N 9 %I Elsevier %R 10.1016/S1631-0721(03)00150-5 %G fr %F CRMECA_2003__331_9_631_0
El Alami Semma; Mohammed El Ganaoui; Abdelkhalek Cheddadi; Patrick Bontoux. Étude numérique des instabilités de la phase fluide et de l'interface de solidification en croissance dirigée horizontale. Comptes Rendus. Mécanique, Volume 331 (2003) no. 9, pp. 631-639. doi : 10.1016/S1631-0721(03)00150-5. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00150-5/
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