Abstract
The existing methods of estimating the stability of boiling modes to finite deviations are analyzed. The Lyapunov direct method for distributed systems is used to formulate the variational principle. The value of the functional is used as the measure of stability. Stability diagrams are suggested which enable one to judge the level of their stability by the arrangement of the boiling modes relative to one another. The dependence of the critical heat flux and critical temperature difference on the value of random deviation of the heating wall temperature is described using threshold curves. The correlation between the rate of propagation of temperature waves and the functional increment is found.
Similar content being viewed by others
REFERENCES
Kovalev, S.A., Teplofiz. Vys. Temp., 1964, vol. 2, no. 5, p. 780.
Kovalev, S.A., Int. J. Heat Mass Transfer, 1966, vol. 9, p. 1219.
Maddock, B.J., James, G.B., and Norris, W.T., Cryogenics, 1969, vol. 9, no. 4, p. 261.
Kovalev, S.A., Rybchinskaya, G.B., and Vil'ke, V.G., Teplofiz. Vys. Temp., 1973, vol. 11, no. 4, p. 805.
Kovalev, S.A. and Rybchinskaya, G.B., Int. J. Heat Mass Transfer, 1978, vol. 21, p. 691.
Kovalev, S.A. and Usatikov, S.V., Teplofiz. Vys. Temp., 1991, vol. 29, no. 4, p. 730.
Zhukov, S.A., Barelko, V.V., and Merzhanov, A.G., Dokl. Akad. Nauk SSSR, 1979, vol. 245, no. 1, p. 94.
Zhukov, S.A., Barelko, V.V., and Merzhanov, A.G., Int.J. Heat Mass Transfer, 1981, vol. 24, no. 1, p. 47.
Zhukov, S.A., Bokova, L.F., and Barelko, V.V., Int. J. Heat Mass Transfer, 1983, vol. 26, no. 2, p. 269.
Zhukov, S.A. and Barelko, V.V., Int. J. Heat Mass Transfer, 1983, vol. 26, no. 8, p. 1121.
Pavlenko, A.N. and Starodubtseva, I.P., Teplofiz. Aeromekh., 1998, vol. 5, no. 2, p. 195.
Kovalev, S.A. and Usatikov, S.V., Teplofiz. Vys. Temp., 2000, vol. 38, no. 3, p. 477 (High Temp. (Engl. transl.), vol. 38, no. 3, p. 453).
Al'tov, V.A., Zenkevich, V.V., Kremlev, M.G., and Sychev, V.V., Stabilizatsiya sverkhprovodyashchikh magnitnykh sistem (Stabilization of Superconducting Magnet Systems), Moscow: Energiya, 1975.
Keilin, V.E., Klimenko, E.Yu., Kremlev, M.G., and Samoilov, N.B., Stability Criteria for Current in Combined (Normal + Superconducting) Conductors, in Les Champs Magnetiques Intenses, Paris: Centre National de la Recherche Scientifique, 1967, p. 231.
Bellis, R.H. and Iwasa, Y., Cryogenics, 1994, vol. 34, no. 2, p. 129.
Sigov, A.S. and Chechetkin, V.R., Dokl. Akad. Nauk SSSR, 1985, vol. 285, no. 2, p. 360.
Chechetkin, V.R. and Sigov, A.S., Phys. Rep., 1989, vol. 176, nos. 1-2, p. 1.
Unal, C. and Nelson, R., Nucl. Eng. Des., 1992, vol. 136, p. 277.
Nelson, R. and Unal, C., Nucl. Eng. Des., 1992, vol. 136, p. 299.
Kovalev, S.A., Zhukov, V.M., and Usatikov, S.V., Int. J. Heat Mass Transfer, 2001, vol. 44, no. 18, p. 3575.
Usatikov, S.V., Stability of Heat Transfer in Boiling, Doctoral (Phys.-Math.) Dissertation, Moscow: Inst. of High Temperatures, Russ. Acad. Sci., 2001.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kovalev, S.A., Usatikov, S.V. Analysis of the Stability of Boiling Modes Involving the Use of Stability Diagrams. High Temperature 41, 68–78 (2003). https://doi.org/10.1023/A:1022380705739
Issue Date:
DOI: https://doi.org/10.1023/A:1022380705739