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Analysis of sub- and supercritical Hopf bifurcation with a reduced order model in natural circulation loop

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Title Analysis of sub- and supercritical Hopf bifurcation with a reduced order model in natural circulation loop
 
Creator PAUL, S
SINGH, S
 
Subject Subcritical Hopf
Supercritical Hopf
Density wave oscillation
High pressure natural circulation loop
Phase change number
Subcooling number
BOILING WATER-REACTOR
DENSITY-WAVE OSCILLATIONS
DRIFT FLUX MODEL
STABILITY ANALYSIS
FLOW INSTABILITIES
NONLINEAR-ANALYSIS
LINEAR-ANALYSIS
CHANNEL
SYSTEMS
DYNAMICS
 
Description The prime objective of the work is to carry out bifurcation analysis of a single channel natural circulation loop having high system pressure. The objective is achieved in two steps. First step is to perform linear stability analysis of the system with the state space approach. The analysis is used to obtain stability maps in N-pch, and N-sub plane. In the second step, limited time series analysis is carried out numerically in the vicinity of the obtained stability boundaries. This analysis leads to delineation of bifurcation characteristics of the system namely subcritical and supercritical bifurcations. The existence of limit cycles and their behavior are also presented. The effects of different design parameters on the aforementioned bifurcation phenomena are shown. It is observed that, these bifurcation phenomena are quite sensitive to the design parameters. The reduced order model used in the present work has been developed by keeping a new insight to include the density variation in single phase and the drift flux correlations in the two-phase. (C) 2014 Elsevier Ltd. All rights reserved.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2014-12-28T17:49:59Z
2014-12-28T17:49:59Z
2014
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 77344-358
0017-9310
1879-2189
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2014.05.033
http://dspace.library.iitb.ac.in/jspui/handle/100/17032
 
Language English