Modeling Growth of A Vapor Film Formed in Contact between Hot Metallic Sphere and Water in The Pressure Vessels

Authors

Abstract

Creation and growth of vapor film in contact between hot objects and liquids is possible in many industries, including nuclear reactors, metals casting industries and paper production. Due to severe heat transfer from a hot objects (as droplets of molten metal) in contact with a coolant and relatively volatile matter (like water), the pressure inside vapor film formed on hot sphere increases at very short time and result in, sudden pressure wave inside related substance storage structure is created and so this wave may lead to destruct the storage structure. In this paper First, the mathematical model of problem is obtained and then conclusion of numerical solution and previous studies is compared. Then, the effects of changing various pressures in vessels On the vapor film radius, vapor film pressure is investigated and finally this model is developed for contact between reactor coolant and hot objects in such nuclear power plants in which pressurized water is 60 to 150 bars. Results show that in case of high pressure inside vessel, the pressure inside vapor film increases to high values in a very short time.

Keywords


 
[1] Berthoud, G. (2000), “Vapor Explosions”. Annu.Rev. Fluid Mech. pp. 573-586.
[2] Naoyuki F. (1994), “Mechanism of steam explosion of magma approach from comparative planetary volcanology of eruption” Japan Aerospace Exploration Agency Institute of Space and Astronautical Science.
[3] Ametitov, I.V., Klimenko, V.V. (1995), “Boiling of Cryogenic Fluids(in Russian)”. Moscow, pp. 400.
[4] Cronenberg, A.W., Benz, R. (1978), Vapor Explosion Phenomenon with Respect to Nuclear safety Assessment. US Nuclear Regulatory Commission.
[5] Ragheb, M. (2010), Chernobyl accident. The history of Chernobyl nuclear power generation accident, Ukraine.
[6] Nelson, L.S., Duda, P.M. (1982), “Steam explosion experiments with single drops of iron oxide melted with CO2-laser”. High temperature-high pressure, Vol.14, pp.259-281.
[7] Cao, X., Hajima, R., Furuta, K., Kondo, S. (2000),  “A Numerical analysis of Molten Drop and Coolant Intaction”. Journal of Nuclear Science and Technology. vol. 37, No. 12, pp. 1049-1055.
[8] Corradini, M.(1997), “Vapor explosions: a review of experiments for accident analisys”.Nucl. Safety, vol. 32, pp. 337-362.
[9] Abe, J.,Narai, H. (2002),“Microscopic Film Collapse Behavior at Trigger for Vapor Explosion”. 12th Int. Heat Transfer Conf. Grenoble,  vol. 3, p. 551.
[10] Abe, J., Narai, H., Hamada, Y. (2002), “A Trigger Mechanism of Vapor Explosion”.Journal of Nuclear Science and Technology. vol. 39, No. 8, pp. 845-853.
[11] Gubaidullin, A.A., Sannikov, I.N. (2005), “Dynamics and heat and mass exchange of a vapor bubble containing a hot particle”. High  Temperature. vol. 43, No. 6, pp. 922-929.
[12] Khabeev, N.S., Ganiev, O.R. (2007),“Dynamics of a vapor shell around a heated particle in a liquid,” Journal of Applied Mechanics and Technical Physics. vol. 48, No. 4, pp. 525-533.
[13] Collier, J.G., Thome, J.R. (1996), Convective boiling and condensation, New York: Oxford University Press.
[14] Plesset M.S. (1949), “The dynamics of cavitation bubbles”. J. Appl. Mech. Vol. 16.
[15] Plesset, M.S., Zwick, S.A. (1954), “The growth of vapour bubble in superheated liquid”. J. Appl. Phys. Vol. 25.
[16] Rayleigh, L. (1917), “On  the pressure developed in a liquid during the collapse of a  spherical cavity”. Philos. Mag.  Vol. 34, pp. 94-98.
[17] Muratova, Т.М., Labuntsov, D.A. (1969), Kinetic analysis of evaporation and condensation(in Russian), High temperature, Vol.7, No.5, pp.959-967.
[18] Yastrebov, А.K., Kryukov, А.P. (2002),“Solution of boltzman equation for heat transfer problems in vapor film(in Russian)”. Proceeding at third national Russian conference on heat transfer, Moscow, MPEI publication, Vol.8, pp.148-151.
[19] Borgnakke, C., Sonntag, R.E. (2009), Fundamentals of Thermodynamics, 7th edition, John Wiley & Sons, Inc. University of Michigan, 2009.
[20] Isachenko, V.P., Osipova, V.А.,  Sukorrel, A.S. (1981), Heat transfer(in Russian), Moscow, Energo atomized publication, pp. 416.
[21] Jaluria, Y., Torrance, K.E. (2003), Computational Heat Transfer, New York: Taylor & Francis.
[22] Fritz, W. (1963), In VDI-Wärmeatlas, Düsseldorf Hb2.
[28] Wagner,W., Prub, A. (2002), The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use, J. Phys. Chem. Ref. Data 31.
[29] Rebas,O.,Zait,H.,Skander, N.,Chitour, E.C. (2011), Prediction of the enthalpy of vaporization according to the temperature far from the critical point by the group contribution method with interactions of pure hydrocarbons, simple mixtures and oil fractions, Journal of Petroleum and Gas Engineering 2 132-145.
[30] Bejan A., Kraus A. D. (2003), Heat Transfer Hand Book, New York, John Wiley & Sons.