Simulation of the unstable oscillatory behavior of single-phase natural circulation with repetitive flow reversals in a rectangular loop using the computer code athlet

Abstract Experiments carried out in three rectangular loops differing in diameter showed instability in the loop with the largest diameter. The observed oscillatory behavior involves repetitive flow reversals, the frequency of which is regular (periodic) at low powers and irregular (chaotic) at high powers. The flow reversal frequency increases with heater power. Due to the flow reversals the Reynolds number vary between +10 000 and −10 000 causing the flow to pass through the laminar and turbulent regime repetitively. Simulation of the oscillatory behavior using the computer code athlet did not show instability with a coarse nodalization. The nodalization was then progressively refined and with a fine nodalization athlet was able to predict the instability behavior and to reproduce all the essential characteristics of the observed oscillatory behavior.

[1]  Vijay Chatoorgoon,et al.  SPORTS - A simple non-linear thermalhydraulic stability code , 1986 .

[2]  M. Gorman,et al.  Nonlinear dynamics of a convection loop II. Chaos in laminar and turbulent flows , 1989 .

[3]  Kenneth E. Torrance,et al.  Transient and steady behavior of an open, symmetrically-heated, free convection loop , 1981 .

[4]  Y. Zvirin,et al.  The Transient and Stability Behavior of a Natural Convection Loop , 1979 .

[5]  Upendra S. Rohatgi,et al.  Assessment of RAMONA-3B methodology with oscillatory flow tests , 1993 .

[6]  Eduardo Ramos,et al.  The toroidal thermosyphon with known heat flux , 1985 .

[7]  C. Tien Annual Review of Heat Transfer , 1993 .

[8]  Pallippattu Krishnan Vijayan,et al.  Mathematical modelling of the stability characteristics of a natural circulation loop , 1995 .

[9]  Richard T. Lahey,et al.  BWR linear stability analysis , 1986 .

[10]  M. Gorman,et al.  Nonlinear dynamics of a convection loop: a quantitative comparison of experiment with theory , 1996 .

[11]  John Howard Perry,et al.  Chemical Engineers' Handbook , 1934 .

[12]  Pallippattu Krishnan Vijayan,et al.  Scaling laws for single-phase natural circulation loops , 1994 .

[13]  Kevin P. Hallinan,et al.  Heat transfer from a vertical tube bundle under natural circulation conditions , 1985 .

[14]  M. Gorman,et al.  Chaotic Flow Regimes in a Convection Loop , 1984 .

[15]  Haim H. Bau,et al.  CHAOS: A HEAT TRANSFER PERSPECTIVE , 1992 .

[16]  H. F. Creveling,et al.  Stability characteristics of a single-phase free convection loop , 1975, Journal of Fluid Mechanics.

[17]  Pallippattu Krishnan Vijayan,et al.  The limits of conditional stability for single-phase natural circulation with throughflow in a figure-of-eight loop , 1992 .

[18]  P. Welander On the oscillatory instability of a differentially heated fluid loop , 1967, Journal of Fluid Mechanics.

[19]  T. N. Veziroglu,et al.  A multivariable linear investigation of two-phase flow instabilities in parallel boiling channels under high pressure , 1993 .