Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-29T15:29:22.782Z Has data issue: false hasContentIssue false
  • English
  • Français

A liquid drop on an air cushion as an analogue of Leidenfrost boiling

Published online by Cambridge University Press:  21 April 2006

M. A. Goldshtik ,
V. M. Khanin  and
V. G. Ligai
M. A. Goldshtik
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, 1 Lavrentyev Avenue, Novosibirsk, 630090, USSR
V. M. Khanin
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, 1 Lavrentyev Avenue, Novosibirsk, 630090, USSR
V. G. Ligai
Affiliation:
Institute of Thermophysics, Siberian Branch of the USSR Academy of Sciences, 1 Lavrentyev Avenue, Novosibirsk, 630090, USSR
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper describes the phenomenon of drop suspension above an air-blown porous surface, which is similar to the well-known levitation of a drop evaporating above a hot plate (‘spheroidal state’ or the Leidenfrost phenomenon). It has been shown that the basis of this similarity is the close analogy between the hydrodynamic mechanisms of drop suspension. Together with the viscous mechanism, the effect of gas- or heat-flow choking under the drop plays an important role here. The latter conditions the threshold character of the above phenomena. A mathematical model of cool- and hot-drop suspension is offered which does not contain any a priori assumptions about the drop form and can be applied to the critical range of parameters. An approximation has also been considered in which the bottom of the drop is assumed to be flat, which allows us to carry out an analysis within a wide range of parameters. The simplest version of this approximation is a disk model, where the problems considered are found to be similar. This version allows analytical solution. The model developed has been verified in a ‘cool’ experiment. The theoretical and experimental data have been shown to be in qualitative (and in some respects in quantitative) agreement.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 166 , May 1986 , pp. 1 - 20
Copyright
© 1986 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. 1970 An Introduction to Fluid Dynamics. Cambridge University Press.
Baumeister, K. J., Hamill, T. D. & Schoessow, G. J. 1966 A generalized correlation of vaporization times of drops in film boiling on a flat plate. In Proc. 3rd Intl Heat Transfer Conf., N. Y. AIChE, vol. 4, pp. 66–73.
Borishansky, V. M. & Kutateladze, S. S. 1947 Some data on evaporation of a liquid in the spheroidal state. Zh. Tekhn. Fiz. 17, 891–902.Google Scholar
Buyevich, Yu. A. & Mankevich, V. N. 1982a On the theory of evaporation of a liquid in the spheroidal state. Dokl. Akad. Nauk SSSR 262, 1373–1377.Google Scholar
Buyevich, Yu. A. & Mankevich, V. N. 1982b On the theory of the Leidenfrost phenomenon. Sov. Thermophys. High Temp. 20, 1136–1143.Google Scholar
Deryagin, B. V. & Prokhorov, P. S. 1949 Investigations of causes for noncoalescence of liquid drops under static conditions (prolonged contact). In New Studies in the Field of Aerosols, pp. 84–101. Inst. Phys. Chem. of Acad. Sci. U.S.S.R. (Transl. U.S. AEC Rep. No. UCRL-trans-601. 1960).
Gossar 1895 Ann. Chim. et Phys. 4, 391.
Hall, W. B. 1974 The stability of Leidenfrost drops. In Proc. 5th Intl Heat Transfer Conf., vol. 4, pp. 125–129. Tokyo: ISME-SCEJ.
Kutateladze, S. S. 1950 A hydrodynamical model of heat transfer crisis in a boiling liquid in free convection. Zh. Tekhn. Fiz. 20, 891–902.Google Scholar
Kutateladze, S. S. 1979 Fundamentals of Heat Transfer (5th edn). Moscow: Atomizdat (1963, transl. of 3rd edn. Arnold and Academic).
Leidenfrost, J. G. 1756 De Aquae Communis Nonnullis Qualitatibus Tractatus. part 2, pp. 30–63. Duisburg.
Michiyoshi, I. & Makino, K. 1978 Heat transfer characteristics of evaporation of a liquid droplet on heated surfaces. Intl J. Heat Mass Transfer 21, 605–613.Google Scholar
Pletenyova, N. A. & Rebinder, P. A. 1946 Regularities of evaporation of liquid droplets in the spheroidal state. Sov. J. Phys. Chem. 20, 961–971.Google Scholar
Stark, J. 1898 Ann. d. Phys. Chem. 65, 306.
Wachters, L. H. J., Bonne, H. & Van Nouhuis, H. J. 1966 The heat transfer from a hot horizontal plate to sessile water drops in the spheroidal state. Chem. Engng Sci., 21, 923–936.Google Scholar