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- W2028685105 abstract "Finite difference numerical solutions have been obtained to the Navier-Stokes equations for entry-region flow in a falling liquid film issuing from a slot. The iterative method developed does not neglect surface tension forces, however the effect of surface tension on the film acceleration is shown to be small. The results show a smooth transition between the initial velocity profile and the final fully-developed profile. The starting length, defined as the distance required for the surface velocity to reach 95% of its final value, is on the order of 20 times the initial film thickness and increases with Reynolds number. A comparison of the calculations with available experimental data shows fair agreement. On a obtenu des solutions numériques finies de différence dans le cas des équations de Navier et Stokes relativement è l'écoulement, dans la région de l'accès, d'une pellicule de liquide qui tombe et provient d'une encoche. La méthode itérative qu'on a mise au point tient compte des forces de tension superficielle; toutefois, on indique que l'effet de la tension superficielle sur l'accélération de la pellicule est faible. On voit par les résultats obtenus qu'il y a une transition sans heurts entre le profil initial de vitesse et le profil final en pleine amplitude. La longueur au stage initial, qu'on définit comme la distance requise pour que la vitesse superficielle atteigne 95% de sa valeur finale, correspond à 20 fois l'épaisseur initiale de la pellicule et augmente avec le nombre de Reynolds. On voit, par comparaison, que les calculs concordent assez bien avec les résultats expérimentaux disponibles." @default.
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- W2028685105 date "1972-06-01" @default.
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- W2028685105 title "Entrance effects in liquid film flow" @default.
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- W2028685105 doi "https://doi.org/10.1002/cjce.5450500302" @default.
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