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On the effect of gravity on the bifurcation of rectangular closed-loop thermosyphon

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Abstract.

Closed-loop thermosyphons are systems in which heat is transferred from a source to a sink by means of a natural convective flow, i.e. without the help of mechanical pumping. In fact, the dynamics of such systems strongly depend both on the thermal boundary conditions and on the gravitational field in which they operate. While the effect of variations of the boundary conditions has been extensively analysed in the last decades, the dependence on gravity has never been explicitly studied.

The aim of this paper is to examine the effect of variations of gravity as well as that of thermal boundary conditions on the dynamics of natural circulation loops. Such an analysis might point out some useful applications for the cooling of a generic source in reduced gravity conditions.

To this purpose an experimental campaign was performed on a natural circulation operating under a gravity field varying in the range between 10–2 g and 1.8 g, with g = 9.81 ms–2. The dynamical behaviour detected during the experiment was used for the validation of a mathematical model, previously validated under terrestrial gravity conditions. Model simulations were found to satisfactorily reproduce the dynamics of the system under variable gravity. This proved the possibility to use the model for the construction of bifurcation diagrams describing the behaviours of natural circulation loops under variations of both the gravitational field and the thermal boundaries.

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References

  1. Vijayan PK; Nayak AK; Pilkhwal DS; Saha D; Venkat Raj V (1992) Effect of loop diameter on the stability of single-phase natural circulation in rectangular loops. Proc 5th Int Topical Meeting on Reactor Thermal Hydraulics (NURETH-5), Salt Lake City, USA, 1: 261–267

  2. Greif R; Zvirin Y; Mertol A (1979) The transient and stability behavior of a natural convention loop. Trans ASME 101: 684–688

    Google Scholar 

  3. Welander P (1992) On the oscillatory instability of a differentially heated fluid loop. J Fluid Mech 29-1: 17–30

    Google Scholar 

  4. Wang Y; Singer J; Bau HH (1992) Controlling chaos in a thermal convection loop. J Fluid Mech 37: 479–498

    Google Scholar 

  5. Singer J; Wang Y; Bau HH (1991) Controlling a chaotic system. Phys Rev Lett 66-9: 123–1125

    Google Scholar 

  6. Sen M; Ramos E; Trevino C (1985) The toroidal thermosyphon with known heat flux. Int J Heat Mass Transfer 28-1: 219–233

    Google Scholar 

  7. Sen M; Ramos E; Trevino C; Salazar O (1987) A one-dimensional model of a thermosyphon with known wall temperature. Int J Heat Fluid Flow 8-3: 171–181

    Google Scholar 

  8. IV Student Parabolic Flight Campaign, web-site: http://www.estec.esa.nl/outreach/parabollic/index.html

  9. Cammarata L; Desrayaud G; Fichera A; Pagano A (2002) Experimental validation of a model-based controller for a rectangular natural circulation loop. Proc12th Int Heat Transfer Conference, Grenoble, France

  10. Rodriguez-Bernal A; Van Vleck E (1998) Diffusion induced chaos in a closed loop thermosyphon. SIAM J Appl Math 58-4: 1072–1093

    Google Scholar 

  11. Fichera A; Pagano A (2003) Modelling and control of rectangular natural circulation loops. Int J Heat Mass Transfer 46: 2425–2444

    Article  Google Scholar 

  12. Gorman M; Widman PJ; Robbins KA (1986) Nonlinear dynamics of a convection loop: a quantitative comparison of experiment with theory. Physica 19D: 255–267

    Google Scholar 

  13. Strogatz SH (1998) Nonlinear dynamics and chaos. Perseus Books, Cambridge, Massachusetts

Download references

Acknowledgements.

The present work was supported by a grant of the ASI (Italian Space Agency). The authors whish to thank the students Michele Aiello, Roberto Conti, Giampiero Evola, and Giacomo Timpanaro for their assistance during the experimental campaign.

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Correspondence to A. Fichera.

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Cammarata, L., Fichera, A., Guglielmino, I.D. et al. On the effect of gravity on the bifurcation of rectangular closed-loop thermosyphon. Heat Mass Transfer 40, 801–808 (2004). https://doi.org/10.1007/s00231-003-0480-6

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  • DOI: https://doi.org/10.1007/s00231-003-0480-6

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