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Rapid evaporation at the superheat limit

Published online by Cambridge University Press:  20 April 2006

J. E. Shepherd  and
B. Sturtevant
J. E. Shepherd
Affiliation:
Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125
B. Sturtevant
Affiliation:
Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125
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Abstract

In an experimental investigation of the transient processes that occur when a single droplet of butane at the superheat limit vaporizes explosively, short-exposure photographs and fast-response pressure measurements have been used to construct a description of the complete explosion process. It is observed that only a single bubble forms within the drop during each explosion, and that the growth proceeds on a microsecond time scale. An interfacial instability driven by rapid evaporation has been observed on the surface of the bubbles. It is suggested that the Landau mechanism of instability, originally described in connection with the instability of laminar flames, also applies to rapid evaporation at the superheat limit.

The photographic evidence and the pressure data are used to estimate the evapora- tive mass flux across the liquid-vapour interface after the onset of instability. The rate of evaporation is shown to be two orders of magnitude greater than would be predicted by conventional bubble-growth theories that do not account for the effects of instability. An estimate of the mean density within the bubbles during the evaporative stage indicates that it is more than one half of the critical density of butane.

Additional interesting dynamical effects that are observed include a series of toroidal waves that form on the interface between the butane vapour and the external host liquid in the bubble column apparatus after the bubble has grown large enough to contact the outer edge of the drop, and violent oscillations of the bubble that occur on a millisecond time scale, after evaporation of the liquid butane is complete, that cause the disintegration of the bubble into a cloud of tiny bubbles by Rayleigh–Taylor instability.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 121 , August 1982 , pp. 379 - 402
Copyright
© 1982 Cambridge University Press

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References

Altenburg, K. 1952 Die temperaturabhangigheit der ultraschallgeschwindigkeit und der oberflachenspannung des athylenglykols. Z. physik. Chem. 201, 91.Google Scholar
Apfel, R. E. & Harbison, J. P. 1975 Acoustically induced explosions of superheated droplets. J. Acoust. Soc. Am. 57, 1371.Google Scholar
Anderson, R. P. & Armstrong, D. R. 1974 Comparison between vapor explosion models and recent experimental results. A.I.Ch.E. Symp. Series, 70 (138), 31.Google Scholar
Avedisian, C. T. 1981 Effect of pressure on bubble growth within droplets heated to their limits of superheat. A.S.M.E. Paper no. 81-HT-11.
Birkhoff, G. 1956 Stability of spherical bubbles. Q. Appl. Math. 13, 451.Google Scholar
Board, S. J. & Caldarola, L. 1977 Fuel-coolant interactions in fast reactors. In Symp. on Thermal and Hydraulic Aspects of Nuclear Reactor Safety, Vol. 2: Liquid Metal Fast Breeder Reactions (ed. O. C. Jones & S. G. Bankoff), p. 195. A.S.M.E.
Buivid, M. G. & Sussman, M. V. 1978 Superheated liquids containing suspended particles. Nature 275, 203.Google Scholar
Cole, R. H. 1948 Underwater explosions. Princeton University Press.
Colgate, S. A. & Sigurgeirson, T. 1973 Dynamic mixing of water and lava. Nature 244, 52.Google Scholar
Dergarabedian, P. 1953 The rate of growth of vapor bubbles in superheated water. Trans. A.S.M.E. E, J. Appl. Mech. 20, 537.Google Scholar
Dergarabedian, P. 1960 Observations on bubble growth in various superheated liquids. J. Fluid Mech. 9, 40.Google Scholar
Dufour, L. 1861a Sur l'ebullition des liquides. C.R. Acad. Sci. Paris 52, 986.Google Scholar
Dufour, L. 1861b Sur l'ebullition des liquides. C.R. Acad. Sci. Paris 53, 846.Google Scholar
Ellis, A. T. 1965 Parameters affecting cavitation and some new methods for their study. California Inst. Tech. Hydrodyn. Lab. Rep. E-115.1.Google Scholar
Florshuetz, L. W., Henry, C. L. & Khan, A. R. 1969 Growth rates of free vapor bubbles in liquid at uniform superheats under normal and zero gravity conditions. Int. J. Heat Mass Transfer 12, 1465.Google Scholar
Gibson, R. E. & Loeffler, O. H. 1941 Pressure-volume-temperature relations in solutions. V. The energy-volume coefficients of carbon tetrachloride, water and ethylene glycol. J. Am. Chem. Soc. 63, 898.Google Scholar
Grolmes, M. A. & Fauske, H. K. 1974 Axial propagation of free surface boiling into superheated liquids in vertical tubes. In Proc. 5th Int. Heat Transfer Conf., Paper B1.7, 4, 30. Japan Soc. Mech. Engrs and Soc. Chem. Engng, Japan.
Hewitt, H. C. & Parker, J. D. 1968 Bubble growth and collapse in liquid nitrogen. Trans. A.S.M.E. C., J. Heat Transfer 90, 22.Google Scholar
Hickman, K. 1972 Torpid phenomena and pump oils. J. Vac. Sci. Tech. 9, 960.Google Scholar
Hooper, F. C., Eidlitz, A. & Faucher, G. 1970 Bubble growth and pressure relationships in the flashing of superheated water. Technical Publication no. 6904, vols 1–3. University of Toronto, Dept Mech. Engng.
Istratov, A. G. & Librovich, V. B. 1969 On the stability of gasdynamic discontinuities associated with chemical reactions. The case of a spherical flame. Astron. Acta. 14, 453.Google Scholar
Kosky, P. G. 1968 Bubble growth measurements in uniformly superheated liquids. Chem. Engng Sci. 23, 695.Google Scholar
Landau, L. D. 1944 On the theory of slow combustion. Acta Physiochimica U.R.S.S. 19, 77.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics, problem 2, p. 479. Pergamon.
Mikic, B. B., Rohsenow, W. M. & Griffith, P. 1970 On bubble growth rates. Int. J. Heat Mass Transfer 13, 657.Google Scholar
Miller, C. A. 1973 Stability of moving surfaces in fluid systems with heat and mass transport – II. Combined effects of transport and density difference between phases. A.I.Ch.E. J. 19, 909.CrossRefGoogle Scholar
Moore, G. R. 1959 Vaporization of superheated drops in liquids. A.I.Ch.E. J. 5, 458.Google Scholar
Niino, M., Toda, S. & Egusa, T. 1973 Experimental investigation of nucleation and growth of a single bubble using laser beam heating. Heat Transfer Japanese Research 2, 26.Google Scholar
Palmer, H. J. 1976 The hydrodynamic stability of rapidly evaporating liquids at reduced pressure. J. Fluid Mech. 75, 487.Google Scholar
Plesset, M. S. & Prosperetti, A. 1977 Bubble dynamics and cavitation. Ann. Rev. Fluid Mech. 9, 145.Google Scholar
Porteous, W. & Blander, M. 1975 Limits of superheat and explosive boiling of light hydrocarbons and hydrocarbon mixtures. A.I.Ch.E. J. 21, 560.Google Scholar
Prosperetti, A. & Plesset, M. S. 1978 Vapour bubble growth in a superheated liquid. J. Fluid Mech. 85, 349.Google Scholar
Ready, J. F. 1965 Effects due to absorption of laser radiation. J. Appl. Phys. 36, 462.Google Scholar
Reid, R. C. 1978 Superheated liquids: a laboratory curiosity and, possibly, an industrial curse. Chem. Engng Ed. 12, 60.Google Scholar
Reid, R. C. 1979 Possible mechanism for pressurized-liquid tank explosions or BLEVE's. Science 203, 1263.Google Scholar
Hinsi, A. M. 1958 Variation de la vitesse des ultrasons dans le butane normal en fonction de la temperature et la pression. C.R. Acad. Sci. Paris 246, 2356.Google Scholar
Sallet, D. W. & Palmer, M. E. 1980 The calculation of the thermodynamic properties of propane, propylene, n-butane and ethylene. U.S. Dept Transportation Rep. FRA/ORD- 76/300. University of Maryland, College Park, My.Google Scholar
Skripov, V. P. 1974 Metastable Liquids. Wiley.
Strube, H. W. 1971 Numerische untersuchungen zur stabilitat nichtsparisch schwingender blasen. Acustica 25, 289.Google Scholar
Taylor, G. I. 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Proc. R. Soc. Lond. A 201, 192.Google Scholar
Theofanous, T. G. & Patel, P. D. 1976 Universal relations for bubble growth. Int. J. Heat Mass Transfer 19, 425.Google Scholar
Wakeshima, H. & Takata, K. 1958 On the limit of superheat. J. Phys. Soc. Japan 13, 1398.Google Scholar
Witte, L. C., Cox, J. E. & Bouvier, J. E. 1970 The vapor explosion. J. Metals 22, 39.Google Scholar