Abstract
The effect of a magnetic field on critical heat flux-CHF in liquids metal is discussed within framework of Helmholtz instabilities. Utilizing a classical simplified model and considering the effect of magnetic field, an analytical expression for the critical heat flux-CHF was derived. Combining this equation with the expression for the heat transfer coefficients deduced in previous work yields an analytical equation for the temperature difference at the minimum. The above equations to predict an enhancement for critical heat flux which is reasonable due to stabilizer effect of magnetic field, however, disagree with the available experimental measurements made on mercury where a indication of the premature onset of critical heat flux with a horizontal magnetic field was observed. Therefore, the reason for this is not clear and the behavior of the CHF in the same manner that the bubble frequency is still unresolved.
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Abbreviations
- g :
-
Gravity acceleration
- B :
-
Magnetic field
- h :
-
Heat transfer coefficient
- H :
-
Magnetic field intensity
- k :
-
Wave number
- q :
-
Heat flux per unit area
- ΔT :
-
Superheat, T w − T s
- t:
-
Time
- T s :
-
Saturation temperature
- T w :
-
Heater wall temperature
- Δh :
-
Enthalpy of vaporization
- α:
-
Electrical conductivity
- η:
-
Distance perpendicular to liquid-vapor interface
- λ:
-
Wave length
- ρ:
-
Density
- σ:
-
Surface tension
- ω:
-
Wave frequency
- μ:
-
Magnetic permeability
- v :
-
Vapor
- l :
-
Liquid
- B :
-
On presence of magnetic field
- 0:
-
Reference value when B = 0
References
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F.J. Arias, Film boiling in magnetic field in liquid metals with particular reference to fusion reactor project. J. Fusion Energ. Accepted for publication (2009)
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Acknowledgments
The author wishes to thank Professor. Perez Madrid of department of fundamental physics of the university of Barcelona-Spain. FJA 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 Ph.D. Degree. Portion of this work was performed under auspices and financial support of the Council for Nuclear Safety CSN-Spain.
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Arias, F.J. Critical Heat Flux -CHF in Liquid Metal in Presence of a Magnetic Field with Particular Reference to Fusion Reactor Project. J Fusion Energ 29, 146–149 (2010). https://doi.org/10.1007/s10894-009-9247-5
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DOI: https://doi.org/10.1007/s10894-009-9247-5