Published April 1977 | Version v1
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Instabilities of isothermal liquid films

Creators

Description

The integral forms of the mass and linear momentum balances are given for a two-phase flow system with surface tension and without material surface properties. The instantaneous local laws for each phase and the jump conditions for the interface are derived from these balance laws. Then, these laws are systematically simplified by means of dimensional analysis for an isothermal liquid film flowing down a plane. The stability studies of films are critically reviewed. The different methods are divided into two groups: the first one deals with the global approach, the second one with the perturbation theory. This group includes a new technique based upon the method of quadrature by differentiation. Finally, the different methods are compared

Availability note (English)

MF available from INIS under the Report Number.

Abstract (French)

Apres avoir enonce les bilans globaux de masse et de quantite de mouvement pour un systeme diphasique avec tension interfaciale mais sans proprietes materielles de l'interface, on en deduit les equations locales instantanees relatives a chaque phase ainsi que les conditions de saut a l'interface. L'analyse dimensionnelle permet alors de simplifier rationnellement ces equations pour le cas de l'ecoulement d'un film liquide isotherme sur un plan incline. On s'interesse alors aux diverses etudes portant sur la stabilite des ecoulements en film. Les solutions proposees sont reparties en deux groupes: l'un traite des methodes d'approche globale, l'autre de la theorie des perturbations et de ses developpements. Dans ce deuxieme groupe, on propose une methode originale basee sur les techniques de quadrature par differentiation. Enfin un tableau recapitulatif permet de dresser une synthese des methodes exposees

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Additional details

Additional titles

Original title (French)
Instabilites des films liquides isothermes

Publishing Information

Imprint Pagination
109 p.
Report number
CEA-R--4835

INIS

Country of Publication
France
Country of Input or Organization
France
INIS RN
8325037
Subject category
S42: ENGINEERING;
Descriptors DEI
BOUNDARY CONDITIONS; FILM FLOW; INSTABILITY; INTERFACES; ISOTHERMAL PROCESSES; LONGITUDINAL MOMENTUM; MASS; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PERTURBATION THEORY; QUADRATURES; TWO-PHASE FLOW
Descriptors DEC
FLUID FLOW; LINEAR MOMENTUM