A moving-boundary nodal model for the analysis of the stability of boiling channels

International Journal of Heat and Mass Transfer

Volumn 42, Issue 19, 1999, Pages 3575-3584

  Garea, Veronica B ^a   Drew, Donald A ^a   Lahey Jr, Richard T ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); BOILING LIQUIDS; CHANNEL FLOW; INTEGRATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS;

BOILING CHANNELS; HOPF BIFURCATIONS; LINEAR STABILITY; MOVING BOUNDARY NODAL MODEL;

BOUNDARY LAYER FLOW;

CHANNEL; FORCED CONVECTION; HEAT TRANSFER; TWO-PHASE FLOW;

EID: 0345035220     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(99)00022-8     Document Type: Article

References (16)

1. J. Diederich, AEOD concerns regarding the power oscillation event at LaSalle 2 (BWR-5), AEOD Special Report, 1988.
2. Mochizuki H. Experimental and analytical studies of flow instabilities in pressure tube type heavy water reactors. J. Nucl. Sci. and Technol. 29:1992;50-67.
3. M. Ishii, Thermally induced flow instabilities in two-phase mixtures in thermal equilibrium, PhD thesis, School of Mechanical Engineering, Georgia Institute of Technology, June 1971.
4. P. Saha, Thermally induced two-phase flow instabilities, including the effect of thermal non-equilibrium between the phases, PhD thesis, School of Mechanical Engineering, Georgia Institute of Technology, June 1974.
5. Archard J., Drew D., Lahey R.T. Jr. The analysis of nonlinear density-wave oscillations in boiling channels. J. Fluid Mechanics. 155:1985;213-232.
6. Lahey R.T. Jr, Podowski M.Z. On the analyses of instabilities in two-phase flows. Multiphase Science & Technology. vol. 4:1989;Hemisphere Press.
7. Clausse A., Lahey R.T. Jr. The analyses of periodic and strange attractors during density-wave oscillations in boiling flows. J. Chaos Solitons and Fractals. 1:(2):1991;17.
8. N. Takenaka, Numerical study on non-linear two-phase flow dynamics with neutron feedback and fuel heat transfer in a natural circulation loop and parallel channels, Personal communications, Rensselaer Polytechnic Institute, 1990.
9. Chang C.J., Lahey R.T. Jr. The analysis of chaotic instabilities in boiling systems. Nuclear Eng. & Design. 167:(3):1997;307-334.
10. Mauricio Pinheiro-Rosa, Nonlinear dynamics and stability analysis two-phase flow systems with applications to boiling water nuclear reactors, PhD thesis, Department of Nuclear Engineering and Engineering Physics, Rensselaer Polytechnic Institute, Troy, NY, 1994.
11. R.T. Lahey Jr, F.J. Moody, The thermal-hydraulics of a boiling water nuclear reactor, ANS Monograph, 1977.
12. Zuber N., Findlay J.A. Average volumetric concentration in two-phase flow systems. J. Heat Transfer. 87:1965;453-468.
13. Clausse A., Lahey R.T. Jr. The influence of flow development on subcooled boiling. Int. Comm. Heat Mass Transfer. 17:1990;545-554.
14. Guckenheimer J., Holmes P. Nonlinear Oscillations, Dynamic Systems and Bifurcations of Vector Fields. 1983;Springer-Verlag.
15. E. Doedel, AUTO - User manual, California Institute of Technology, 1986.
16. Benedek S., Drew D.A. An analytical study for determining the dynamics of a boiling boundary in a channel. Int. J. Heat & Mass Transfer. 41:1998;2735-2742.