0
TECHNICAL PAPERS

Numerical Aspects on the Prediction of Stability Boundaries of Two-Phase Natural Circulation Circuits, Considering Flashing Evaluation

[+] Author and Article Information
P. Zanocco

Centro Atómico Bariloche,  CNEA, Av.a Bustillo Km. 9,500, San Carlos de Bariloche, R8402AGP Río Negro, Argentinazanoccop@cab.cnea.gov.ar

D. Delmastro, M. Giménez

Centro Atómico Bariloche,  CNEA, Av.a Bustillo Km. 9,500, San Carlos de Bariloche, R8402AGP Río Negro, Argentina

J. Appl. Mech 73(6), 911-922 (Dec 29, 2005) (12 pages) doi:10.1115/1.2178835 History: Received May 24, 2005; Revised December 29, 2005

In this work, the stability of a two-phase, natural circulation circuit is analyzed, using a specially developed model. This thermohydraulic model results in a set of coupled, nonlinear, first-order partial differential equations, which are solved by means of the up-wind finite difference method, using combinations of explicit and implicit methods for the numerical integration of the different balance equations. An adaptive nodalization scheme is implemented, minimizing the error of the propagation of small perturbations through the discretized volumes and especially the ones having two-phase flow regime. A linearization method is implemented by means of numerical perturbations. Frequency domain calculations are carried out, allowing a rapid visualization of the stability of the linearized system. Two cases are analyzed: a test case, where the code is compared in a wide range of qualities with an analytical model, and an application case, where the model is used to analyze the stability of an integral reactor cooled by natural circulation. The CAREM prototype is taken as a reference. In both cases, the numerical diffusion and integration errors are analyzed in the stability limit prediction by means of a convergence analysis using different nodalization and numerical integration criteria.

FIGURES IN THIS ARTICLE
<>
Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Carem-25 primary system: (a) diagram and (b) used nodalization scheme

Grahic Jump Location
Figure 2

Natural circulation loop used in the test case

Grahic Jump Location
Figure 3

(a) Level diagram obtained with the numerical model, and the stability limit obtained with the analytical model. (b) Frequencies of oscillations, according to the numerical model.

Grahic Jump Location
Figure 4

Eigenvalues of the discretized and linealized system, in the three points analyzed

Grahic Jump Location
Figure 5

Time evolutions for the averaged nondimensionalized flow, according to the linear and nonlinear system, at points (a) stable, (b) neutral, and (c) unstable (points A, B and C). (c) Heater outlet and riser outlet enthalpy, showing propagation.

Grahic Jump Location
Figure 6

Stability map for the application case, without pressure feedback

Grahic Jump Location
Figure 7

Convergence analysis of the numerical model by using the adaptive nodalization: (a) Fully explicit and (b) implicit momentum equation

Grahic Jump Location
Figure 8

Comparison of stability limit prediction using (a) adaptive nodalization and fixed nodalization and (b) Courant limit and lower time step

Grahic Jump Location
Figure 9

Stability map showing the core influence, in the case of constant core inlet coolant temperature

Grahic Jump Location
Figure 10

Amplification factor as a function of QV, using different numbers of intermediate steps (NIT) in the core

Grahic Jump Location
Figure 11

Stability map obtained without intermediate steps in the core

Grahic Jump Location
Figure 12

Convergence analysis for points A, B, and C, using Nr=20, 40, and 80 and NIT=10, 5, and 2, respectively, in order to keep Nc≈const

Grahic Jump Location
Figure 13

Convergence analysis for cases A, B, and C

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In