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23 Comparaison des prédictions du modèle Lagrangien aux résultats numériques de l'écart de hauteur pour ,
III A.3 Schéma d'illustration de la méthode d'extraction de la hauteur simulée du niveau de métal IV A.4 Observation d'inclusions de gaz dans le métal après un changement de section . . . . . V A.5 Programme Mathematica de résolution de l'équation des oscillations du modèle La- grangien V A.6 Comparaison des prédictions du modèle Lagrangien aux résultats expérimentaux et numériques de l VII A.8 Comparaison des prédictions du modèle Lagrangien aux résultats expérimentaux et numériques de l, II A.2 Courbes d'enthalpies fonction de la température simulées sur les échantillons S1 et S2 pour les modèles de bras de levier VI A.7 Comparaison des prédictions du modèle lagrangien aux résultats expérimentaux et numériques de l VIII A.9 Comparaison des prédictions du modèle Lagrangien aux résultats expérimentaux et numériques de l'écart de hauteur en fonction des propriétés matériaux . . . . . . . . . . . IX A.10 Comparaison des prédictions du modèle Lagrangien aux résultats expérimentaux et numériques de l'écart de hauteur en fonction de la longeur sous la restriction . . . . . . . . X A.11 Comparaison des prédictions du modèle Lagrangien aux résultats expérimentaux et numériques de l'écart de hauteur pour R>1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI A.12 Composition moyenne mesurée sur les essais de coulabilité ,
51 3.1 Composition nominale des lingots et composition résultante moyenne de l'alliage, p.59 ,