Dynamical behaviour of natural convection in a single-phase loop

A one-dimensional model is derived for natural convection in a closed loop. The model accounts for a non-symmetric arrangement of heat sources and sinks. A nonlinear analysis of these equations is performed as well as experiments to validate the model predictions. Distinct subcritical regions are observed in addition to a variety of stable steady flow regimes. An absolutely unstable range also exists which is characterized by a chaotic time behaviour of the flow quantities

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

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

[3]  Paul C. Martin,et al.  Transition to turbulence in a statically stressed fluid system , 1975 .

[4]  K. Robbins,et al.  A new approach to subcritical instability and turbulent transitions in a simple dynamo , 1977, Mathematical Proceedings of the Cambridge Philosophical Society.

[5]  R. J. Schoenhals,et al.  Flow in a Toroidal Thermosyphon with Angular Displacement of Heated and Cooled Sections , 1979 .

[6]  Yoram Zvirin,et al.  A review of natural circulation loops in pressurized water reactors and other systems , 1981 .

[7]  Kenneth E. Torrance,et al.  On the stability and flow reversal of an asymmetrically heated open convection loop , 1981, Journal of Fluid Mechanics.

[8]  J. Yorke,et al.  CHAOTIC ATTRACTORS IN CRISIS , 1982 .

[9]  John E. Hart,et al.  A new analysis of the closed loop thermosyphon , 1984 .

[10]  Adrienne S. Lavine,et al.  A three-dimensional analysis of natural convection in a toroidal loop—the effect of Grashof number , 1987 .

[11]  James A. Yorke,et al.  Lorenz-like chaos in a partial differential equation for a heated fluid loop , 1987 .

[12]  Stephen H. Davis,et al.  Coupled Lorenz oscillators , 1987 .

[13]  R. Greif,et al.  Measurements in a natural convection loop , 1987 .

[14]  Dynamisches Verhalten der Naturkonvektion in geschlossenen Kreislaeufen , 1988 .

[15]  R. Greif.  Natural Circulation Loops , 1988 .

[16]  U. Muller,et al.  DYNAMICAL BEHAVIOR OF NATURAL CONVECTION IN A DOUBLE-LOOP SYSTEM , 1989 .

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