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Linear stability analysis of flow instabilities with a nodalized reduced order model in heated channel

DSpace at IIT Bombay

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Title Linear stability analysis of flow instabilities with a nodalized reduced order model in heated channel
 
Creator PAUL, S
SINGH, S
 
Subject NATURAL CIRCULATION LOOP
DENSITY-WAVE OSCILLATIONS
BOILING WATER-REACTOR
DRIFT FLUX MODEL
2-PHASE FLOW
SYSTEMS
BIFURCATION
BEHAVIOR
Nodalized reduced order model
Density wave oscillation
Forced circulation
Natural circulation loop
Phase change number
Subcooling number
 
Description The prime objective of the presented work is to develop a Nodalized Reduced Order Model (NROM) to carry linear stability analysis of flow instabilities in a two-phase flow system. The model is developed by dividing the single phase and two-phase region of a uniformly heated channel into N number of nodes followed by time dependent spatial linear approximations for single phase enthalpy and two-phase quality between the consecutive nodes. Moving boundary scheme has been adopted in the model, where all the node boundaries vary with time due to the variation of boiling boundary inside the heated channel. Using a state space approach, the instability thresholds are delineated by stability maps plotted in parameter planes of phase change number (N-pch) and subcooling number (N-sub). The prime feature of the present model is that, though the model equations are simpler due to presence of linear linear approximations for single phase enthalpy and two-phase quality, yet the results are in good agreement with the existing models (Karve [33]; Dokhane [34]) where the model equations run for several pages and experimental data (Solberg [41]). Unlike the existing ROMs, different two-phase friction factor multiplier correlations have been incorporated in the model. The applicability of various two-phase friction factor multipliers and their effects on stability behaviour have been depicted by carrying a comparative study. It is also observed that the Friedel model for friction factor calculations produces the most accurate results with respect to the available experimental data. (C) 2015 Elsevier Masson SAS. All rights reserved.
 
Publisher ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
 
Date 2016-01-14T14:05:24Z
2016-01-14T14:05:24Z
2015
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 98,312-331
1290-0729
1778-4166
http://dx.doi.org/10.1016/j.ijthermalsci.2015.07.027
http://dspace.library.iitb.ac.in/jspui/handle/100/17683
 
Language en