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Journal of Fusion Energy

, Volume 29, Issue 2, pp 161–164 | Cite as

Magnetohydrodynamic Vapor Explosions: A Study with Potential Interest to the Safety of Fusion Reactor Project

  • F. J. Arias
Original Paper

Abstract

In this paper, the possibility of vapor explosions in superheat liquids in presence of a magnetic field that undergo sudden variation of magnetic field is discussed. This possible phenomenon may play a very important role in the blanket design of future fusion reactors, where transients in magnetic field on liquid metals, could will be a potential hazard for safety.

Keywords

Vapor explosions Nuclear safety Liquid metals MHD boiling Blanket design Tokamak fusion reactor 

List of Symbols

B

Magnetic field

f

Bubble departure frequency

p

Pressure

J

Number of bubbles per unit volume per unit time which grow beyond critical size

T

Superheat

TSN

Spontaneous nucleation temperature

W

Minimum work to make a bubble

Z

Zeldovich factor

Greeks

κb

Boltzmann constant

ρ

Density

σ

Surface tension

μ

Magnetic permeability

Subscripts

v

Vapor

l

Liquid

B

In presence of magnetic field

0

Reference value when B = 0

Notes

Acknowledgments

The author wishes to thank Professor. Perez Madrid of department of fundamental physics of the University of Barcelona, Spain and F.J.A. presents this work as a thesis to the Department of Physics and Nuclear Engineering at the Technical University of Catalonia, in partial fulfillment with the requirements for the PhD Degree. Portion of this work was performed under auspices and financial support of the Council for Nuclear Safety CSN-Spain.

References

  1. 1.
    G. Berthoud. Vapor explosions. Annu. Rev. Fluid Mech. 32, 573–611 (2000)CrossRefADSGoogle Scholar
  2. 2.
    P.S. Lykoudis. Bubble growth in a superheated liquid metal in a uniform magnetic field, in Proceedings of the fourth Beer-Sheva international seminar on magneto-hydrodynamic flows and turbulence, Ben-Gurion University of the Negev, Beer-Sheva. Israel February 27 to March 2, 179–292 (1984)Google Scholar
  3. 3.
    F.J. Arias. Film boiling in magnetic field in liquid metals with particular reference to fusion reactor project. J. Fusion Energ. (2009). doi: 10.1007/s10894-009-9244-8
  4. 4.
    F.J. Arias. Critical heat flux—CHF in liquid metal in presence of a magnetic field with particular reference to fusion reactor project. J. Fusion Energ. (2009). doi: 10.1007/s10894-009-9247-5
  5. 5.
    M.A. Bertodano, S. Leonardi, P.S. Lykoudis. Nucleate pool boiling of mercury in the presence of a magnetic field. Int. J. Heat Mass Transf. 30, 3491–3500 (1998)CrossRefGoogle Scholar
  6. 6.
    L. Wagner, P. Lykoudis. Mercury pool boiling under the influence of a horizontal magnetic field. Int. J. Heat Mass Transf. 24(4), 635–643 (1981)CrossRefGoogle Scholar
  7. 7.
    K.H. Wohletz. Explosive magma-water interactions: Themodynamics, explosion mechanisms, and field studies. Bull. Volcanol. 48, 254–264 (1986)CrossRefADSGoogle Scholar
  8. 8.
    J. Frenkel. Kinetic Theory of Liquids. Clarendon, Oxford (1946)MATHGoogle Scholar
  9. 9.
    S. Chandrasekhar. Hydrodynamic and Hydromagnetics Stability, Chap. X. Oxford University Press, London (1968)Google Scholar
  10. 10.
    K. Forster, N. Zuber. Dynamics of vapor bubbles and boiling heat transfer. AIChE J. 1(4), 425–429 (1976)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Physics and Nuclear EngineeringTechnical University of Catalonia (UPC)BarcelonaSpain

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