A characteristics-based implicit finite - Difference scheme for the analysis of instability in water cooled reactors

Nuclear Engineering and Technology

Volumn 40, Issue 6, 2008, Pages 477-488

  Dutta, Goutam ^a   Doshi, Jagdeep B ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Boiling water reactor; Density wave oscillations; Instability; Two phase flow

Indexed keywords

EID: 56049093435     PISSN: 17385733     EISSN: None     Source Type: Journal    
DOI: 10.5516/NET.2008.40.6.477     Document Type: Article

References (16)

1. W.T. Hancox and S. Banerjee, "Numerical Standard for Flow Boiling Analysis", Nuclear Science and Engineering, 64, pp. 106-123, (1977).
2. S. Banerjee and W.T. Hancox, "On the development of methods for analyzing transient flow-boiling", Int. J. Multiphase Flows, 4, pp. 437-460, (1978).
3. R.L. Ferch, "Method of Characteristics Solutions for non-equilibrium transient flow-boiling", Int. J. Multiphase Flow, 5, pp. 265-279, (1979).
4. D.R. Liles and W.H. Reed, "A semi-implicit method for two-phase fluid dynamics", Journal of Computational Physics, 26, pp. 390-407, (1978).
5. V. Chatoorgoon, "Sports - A Simple Non-Linear Thermal Hydraulic Stability Code", Nuclear Engineering and Design, 93, pp. 51-67, (1986).
6. R. Prasad, J.B. Doshi and K. Iyer, "A Numerical Investigation of Nuclear Coupled Density Wave Oscillations", Nuclear Engineering and Design, 154, pp. 381-396, (1995).
7. S. Narayanan, B. Srinivas, S. Pushpavanan and S.M. Bhallamudi, "Non-linear dynamics of a two phase flow system in an evaporator: The effects of (i) a time varying pressure drop, (ii) an axially varying heat flux", Nuclear Engineering and Design, 178, pp. 279-294, (1997).
8. Y.N. Lin and C. Pan, "Non-linear analysis for a natural circulation boiling channel", Nuclear Engineering and Design, 152, pp. 349-360, (1994).
9. F.S. Wang, L.W. Hu and C. Pan, "Thermal and stability analysis of a two-phase natural circulation loop", Nuclear science and Engineering, 117, pp. 33-46, (1994).
10. D.D.B.V. Bragt and T.H.J.J.V.D. Hagen, "Stability of natural circulation boiling water reactors: part I - Description stability model and theoretical analysis in terms of dimensionless groups", Nuclear Technology, 121, pp. 40-51, (1998).
11. D.D.B.V. Bragt and T.H.J.J.V.D. Hagen, "Stability of natural circulation boiling water reactors: part II - Parametric study of coupled neutronic-thermohydraulic stability", Nuclear Technology, 121, pp. 52-62, (1998).
12. Rizwan-uddin and J.J. Doming, "Nonlinear Dynamics of two-phase flow in multiple parallel heated channels", Two-Phase Flow and Heat Transfer, 197, p. 63, (1992).
13. Rizwan-uddin, "Effects of double-humped axial heat flux variation on the stability of two-phase flow in heated channels", Int. J. Multiphase Flows, 20, No. 6, pp. 1129-1142, (1994).
14. W.T. Hancox and W.B. Nicoll, "A wall shear stress formula for adiabatic two-phase flow", Westinghouse Canada Limited Report, unpublished, 1972.
15. K. Solberg, "Resulats des Essais d'Instabilities sur la Boucle 'Culine' et Comparisons avec Code de Calcur', C.E.N.G., Note 225, Centre d'Etudes Nucleaires de Grenoble, France 1966.
16. N.E. Todreas and M.S. Kazimi, "Nuclear Systems I : Thermal Hydraulic Fundamentals", Hemisphere Publishing Corporation, New York, First Edition, 1989.