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The oscillatory behavior of heated channels: an analysis of the density effect. Part I. The mechanism (non linear analysis). Part II. The oscillations thresholds (linearized analysis); Sur le comportement oscillatoire de canaux chauffes. - Etude theorique de l'effet de densite. 1ere partie: le mecanisme (analyse non lineaire), 2eme partie: seuils d'oscillation (analyse lineaire)

Abstract

The problem of the oscillatory behavior of heated channels is presented in terms of delay-times and a density effect model is proposed to explain the behavior. The density effect is the consequence of the physical relationship between enthalpy and density of the fluid. In the first part non-linear equations are derived from the model in a dimensionless form. A description of the mechanism of oscillations is given, based on the analysis of the equations. An inventory of the governing parameters is established. At this point of the study, some facts in agreement with the experiments can be pointed out. In the second part the start of the oscillatory behavior of heated channels is studied in terms of the density effect. The threshold equations are derived, after linearization of the equations obtained in Part I. They can be solved rigorously by numerical methods to yield: -1) a relation between the describing parameters at the onset of oscillations, and -2) the frequency of the oscillations. By comparing the results predicted by the model to the experimental behavior of actual systems, the density effect is very often shown to be the actual cause of oscillatory behaviors. (author) [French] Premiere partie: mecanisme (equations non  More>>
Authors:
Boure, J [1] 
  1. Commissariat a l'Energie Atomique, Centre d'Etudes Nucleaires de Grenoble, 38 (France)
Publication Date:
Jul 01, 1967
Product Type:
Technical Report
Report Number:
CEA-R-3049
Resource Relation:
Other Information: 31 refs; PBD: 1967
Subject:
42 ENGINEERING; DENSITY; ENTHALPY; FLOW RATE; HEAT TRANSFER; HOT CHANNEL; OSCILLATIONS; PRESSURE DROP; TWO-PHASE FLOW
OSTI ID:
20468595
Research Organizations:
Commissariat a l'Energie Atomique, Centre d'Etudes Nucleaires de Grenoble, 38 (France)
Country of Origin:
France
Language:
French; English
Other Identifying Numbers:
TRN: FR04R3049044305
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
84 pages
Announcement Date:

Citation Formats

Boure, J. The oscillatory behavior of heated channels: an analysis of the density effect. Part I. The mechanism (non linear analysis). Part II. The oscillations thresholds (linearized analysis); Sur le comportement oscillatoire de canaux chauffes. - Etude theorique de l'effet de densite. 1ere partie: le mecanisme (analyse non lineaire), 2eme partie: seuils d'oscillation (analyse lineaire). France: N. p., 1967. Web.
Boure, J. The oscillatory behavior of heated channels: an analysis of the density effect. Part I. The mechanism (non linear analysis). Part II. The oscillations thresholds (linearized analysis); Sur le comportement oscillatoire de canaux chauffes. - Etude theorique de l'effet de densite. 1ere partie: le mecanisme (analyse non lineaire), 2eme partie: seuils d'oscillation (analyse lineaire). France.
Boure, J. 1967. "The oscillatory behavior of heated channels: an analysis of the density effect. Part I. The mechanism (non linear analysis). Part II. The oscillations thresholds (linearized analysis); Sur le comportement oscillatoire de canaux chauffes. - Etude theorique de l'effet de densite. 1ere partie: le mecanisme (analyse non lineaire), 2eme partie: seuils d'oscillation (analyse lineaire)." France.
@misc{etde_20468595,
title = {The oscillatory behavior of heated channels: an analysis of the density effect. Part I. The mechanism (non linear analysis). Part II. The oscillations thresholds (linearized analysis); Sur le comportement oscillatoire de canaux chauffes. - Etude theorique de l'effet de densite. 1ere partie: le mecanisme (analyse non lineaire), 2eme partie: seuils d'oscillation (analyse lineaire)}
author = {Boure, J}
abstractNote = {The problem of the oscillatory behavior of heated channels is presented in terms of delay-times and a density effect model is proposed to explain the behavior. The density effect is the consequence of the physical relationship between enthalpy and density of the fluid. In the first part non-linear equations are derived from the model in a dimensionless form. A description of the mechanism of oscillations is given, based on the analysis of the equations. An inventory of the governing parameters is established. At this point of the study, some facts in agreement with the experiments can be pointed out. In the second part the start of the oscillatory behavior of heated channels is studied in terms of the density effect. The threshold equations are derived, after linearization of the equations obtained in Part I. They can be solved rigorously by numerical methods to yield: -1) a relation between the describing parameters at the onset of oscillations, and -2) the frequency of the oscillations. By comparing the results predicted by the model to the experimental behavior of actual systems, the density effect is very often shown to be the actual cause of oscillatory behaviors. (author) [French] Premiere partie: mecanisme (equations non linearisees). On expose le probleme du comportement oscillatoire des canaux chauffes en mettant l'accent sur la presence de retards dans le systeme et on propose un modele a 'effet de densite' pour expliquer ce comportement. L'effet de densite est la consequence de la relation physique entre l'enthalpie et la masse volumique du fluide. Les equations non lineaires du schema mathematique correspondant sont etablies et mises sous forme adimensionnelle. L'analyse de ces equations conduit a une description du mecanisme des oscillations. On donne la liste des parametres dont depend le comportement du modele. A ce stade de l'etude, on peut deja relever dans ce comportement plusieurs faits conformes a l'experience. Deuxieme partie: seuils d'oscillation (equations linearisees). L'apparition d'oscillations dans les canaux chauffes est etudiee dans le cadre de 'l'effet de densite', consequence de la relation physique entre l'enthalpie et la masse volumique du fluide. On etablit les equations du seuil, apres linearisation des equations obtenues dans la premiere partie. Elles peuvent etre resolues rigoureusement par des methodes numeriques et conduisent a: 1) Une relation entre les parametres du modele au seuil d'oscillation; 2) La frequence des oscillations au seuil. En comparant les predictions du modele aux comportements observes experimentalement, on montre que l'effet de densite est tres souvent la cause reelle de comportements oscillatoires. (auteur)}
place = {France}
year = {1967}
month = {Jul}
}