Two-dimensional numerical analysis of a rectangular closed-loop thermosiphon

Abstract The study presents a numerical investigation of the dynamical behavior of a rectangular natural circulation loop with horizontal heat exchanging sections. The study has been developed in a two-dimensional domain considering uniform wall temperatures, UWT, at the horizontal sections and thermally insulated vertical legs as thermal boundary conditions. The governing equations have been solved using a control volume method solving the velocity-pressure coupling with the SIMPLER algorithm. The analysis has been performed for a fixed geometry of the loop and for various Rayleigh numbers, separating the values of Rayleigh for which the system manifests stable and unstable dynamics. In the last case, it is shown that the vortices are responsible for the birth of the oscillations and for the growth of temperature gradients.

[1]  Christopher M. Danforth,et al.  A 2-D numerical study of chaotic flow in a natural convection loop , 2010 .

[2]  Francesco Saverio D'Auria,et al.  Steady-State and Stability behavior of a Single-Phase Natural Circulation Loop , 1998 .

[3]  J. Humphrey,et al.  An Experimental Study of Natural Convection in a Toroidal Loop , 1988 .

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

[5]  A. W. Date,et al.  On the steady-state performance of natural circulation loops , 1991 .

[6]  Bin-Juine Huang,et al.  Heat transfer behavior of a rectangular thermosyphon loop , 1988 .

[7]  P. Vijayan,et al.  Steady state and stability characteristics of single-phase natural circulation in a rectangular loop with different heater and cooler orientations , 2007 .

[8]  Michel Bernier,et al.  A 1-D/2-D model and experimental results for a closed-loop thermosyphon with vertical heat transfer sections , 1992 .

[10]  John M. House,et al.  EFFECT OF A CENTERED CONDUCTING BODY ON NATURAL CONVECTION HEAT TRANSFER IN AN ENCLOSURE , 1990 .

[11]  Alberto Fichera,et al.  Modelling and control of rectangular natural circulation loops , 2003 .

[12]  P. LeQuéré,et al.  Accurate solutions to the square thermally driven cavity at high Rayleigh number , 1991 .

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

[14]  P. Ruffino,et al.  The influence of the wall thermal capacity and axial conduction over a single-phase natural circulation loop: 2-D numerical study , 2000 .

[15]  Manuel Marcoux,et al.  Numerical investigation of natural circulation in a 2D-annular closed-loop thermosyphon , 2006 .

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

[17]  Pallippattu Krishnan Vijayan,et al.  Analysis of the unstable behaviour of a single-phase natural circulation loop with one-dimensional and computational fluid-dynamic models , 2007 .

[18]  P. Vijayan Experimental observations on the general trends of the steady state and stability behaviour of single-phase natural circulation loops , 2002 .

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

[20]  Tahsin Başaran,et al.  Flow through a rectangular thermosyphon at specified wall temperatures , 2003 .

[21]  Graham de Vahl Davis,et al.  FINITE DIFFERENCE METHODS FOR NATURAL AND MIXED CONVECTION IN ENCLOSURES , 1986 .