Abstract
Under steady conditions of pool boiling, the observed maximum heat flux is described by the so-called Hydrodynamical theory stated by Zuber in 1959. This theory is in a reasonable agreement with experiments under normal gravity, however under vanishing gravity, the experimental maximum heat flux is larger than the one predicted by the Zuber formula. The hydrodynamical theory breaks down.
In unsteady boiling, under very low subcooling and in microgravity conditions, a peak of heat transfer coefficient corresponding to transitory nucleate boiling, is observed after a short time of bubbles formation immediately followed by a dryout and thus by a strong decrease of heat transfer coefficient.
The principal aim of this work is to modelize the maximum heat transfer coefficient observed under microgravity [4] for low subcoolings. The model could be extended to represent boiling phenomenon under microgravity for wider range of conditions.
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Abbreviations
- ρL :
-
Liquid density
- ρg :
-
Vapor density
- b:
-
The distance between the columns in Helmholtz instability
- σ:
-
Surface tension
- V g :
-
Bubble growth rate=dR/dτ
- τ,t:
-
Time
- R:
-
Bubble’s radius
- \(Ja = \frac{{T_W - T_S }}{{H_{fg} \rho _g }}\rho _L C_L\) :
-
Jacob number
- a L :
-
Liquid thermal diffusivity
- b:
-
Constant for bubbles’ growth parameters
- C PL :
-
Liquid heat capacity
- λ L :
-
Liquid thermal conductivity
- No :
-
Initial potential nuclei density
- q:
-
Nucleation frequency
- 〈V S〉:
-
Average growth rate
- h:
-
Heat transfer coefficient
- T s :
-
Saturation temperature
- α:
-
The surface fraction covered by vapor
- T w :
-
Wall temperature
- δ:
-
boundary layer thickness
- η:
-
Dynamic viscosity
- \(\dot q\) :
-
Heat flux
References
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R. Siegel and C. Usiskin, J. Heat Transfer, Trans., ASME, 81, p. 3, (1959).
H. Merte, H.S. Lee and J.S. Ervin, Microgravirty Sc. and Technology, VII, pp. 173–179, (1994).
A. Steinchen, A. Sanfeld, L. Tadrist and J. Pantaloni, Microgravity Sc and Technology, VII/2, pp. 180–186, (1994).
H.J. Palmer, J. Fluid Mechanics, 15, p. 487, (1976).
H. Beer, Heat Mass Transfer, 2, pp. 2 311–370 (1969).
K. Hickman, Ind. and Eng. Chem., 44, P. 1892, (1952).
M. Avrami, J. Chem. Phys. 9, P. 177, (1941).
E. Piorkowska and A. Galeski, Journal of Polymer Physics, 23, p. 1723, (1985).
N. Billon and J.M. Haudin, Colloid and Poly. Sc., 271, pp. 343–356, (1993).
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© 1996 Springer-Verlag
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Sefiane, K., Steinchen, A. (1996). Modelling of transient boiling in microgravity. In: Steinchen, A. (eds) Dynamics of Multiphase Flows Across Interfaces. Lecture Notes in Physics, vol 467. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102668
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DOI: https://doi.org/10.1007/BFb0102668
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