Evaporation and Growth of Single Drops and Finite Array of Interacting Drops of Pure Liquids and Hygroscopic Solutions

  • Eugene R. Shchukin

Abstract

The paper is devoted to theoretical description of the diffusive and convective evaporation and growth of large and moderately large drops and particles spherical and non-spherical in shape at small and large relative temperature differences in a drops-medium system. Solution of the non-linear transport equation system makes allowance for the arbitrary dependence of the molecular transport factors and thermal diffusion on gaseous medium temperature and gaseous component concentrations.

Keywords

Large Drop Pure Liquid Single Drop Internal Heat Source Drop Surface 
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References

  1. 1.
    Chapmen, S., Cowling,T.G.,1952, The Mathematical Theory of Non-Uniform Gases.Cambridge Univer-sity Press, Cambridge.Google Scholar
  2. 2.
    Hirschfelder,J.O., Curtiss,C.F., Bird,R.B.,1954, Molecular Theory of Gases and Liquids. John Wiley and Sons, New York.Google Scholar
  3. 3.
    Shchukin,E.R., Kutukov, Yu.I, Yalamov,Yu.I., 1977, On diffusive vaporization of drops in the electromagnetic field at considerable drops of temperature. Izv. Acad. Nauk SSSR. Ser. Thermophys. High Temp., v. 15, No. 2, pp. 434–436.Google Scholar
  4. 4.
    Shchukin,E.R., Yvarova,L.A.,1979, Quasi-stationary vaporization of large and moderately large drops of refractory matter under the influence of internal heat sources. In collection of articles: Physics of aerodispertion systems and physical kinetics, installment, No. 4, part 1, N. Krupskay MOPI, deposition in VINITI No. 3828–79, Moscow, pp. 216–229Google Scholar
  5. 5.
    Shchukin,E.R.,1979, Theory of the evaporation of interacting large particles. In collection of articles: Physics of aerodispertion systems and physical kinetics, installment No. 4, part.1, N. Krupskaya MOPI, deposition in VINITI No. 3828–79, Moscow, pp. 176–215.Google Scholar
  6. 6.
    Shchukin,E.R., Barinova, M.F., Yvarova,L.A.,1980, On evaporation in diffusive regime of two interacting drops warmed by means of internal heat sources, Inzener.Fiz. Zh., v.39,No. 1, pp. 148.Google Scholar
  7. 7.
    Shchukin,E.R., Sanasaryan,A.S., Yalamov, Yu.l., 1982, On quasi-stationary vaporization of drops at arbitrary temperature and concentrations differences. Zh. Tekh. Fiz, v, 52, pp. 581–582.Google Scholar
  8. 8.
    Shchukin,E.R., Barinova,M.F., Yalamov, Yu. I., 1985, Theory of vaporization of two drops located at arbitrary distances from each other. DAN SSSR, Fizika, v. 284,pp. 341–344.Google Scholar
  9. 9.
    Shchukin,E.R., Shulimanova,Z.L., 1990, The influence of thermo-diffusion on velocity of vaporization of drops. Shadrinsk state teachers training institute, Typescript deposition in VINITI No. 6423-B90, Shadrinsk, 31 p.Google Scholar
  10. 10.
    Shchukin,E.R., 1995, Quasi stationary evaporation and growth of drops of pure substances at considerable drops of temperature in their vicinity. Institute for High Temperature Russian Academy of Science, Manuskript deposition in VINITI No. 412–95,Moscow, 87 p.Google Scholar
  11. 11.
    Shchukin,E.R., Shulimanova, Z.L., 1996, On vaporization and growth of finite assemble of immovable large interacting drops. In Collection of articles: Chemistry and chemical technology of unorganic substances, D.Mendeleev Russian Chem. Tech. University., Moscow,v.. 171, pp. 141–143.Google Scholar
  12. 12.
    Shchukin,E.R., Yumashev,A.V., Shulimanova,Z.L., 1997, Influence of unlinear properties of gaseous medium on evaporation and growth of large and moderately large drops. Institute for High Temperature Russian Academy of Science, Typescript deposition in VINITI No. 3083-B97, Moscow, 11 1 p.Google Scholar
  13. 13.
    Shchukin,E.R., Shulimanova,Z.L., 1993, On peculiarities of vaporization of spheroidal drops at considerable drops of temperature. Shadrinsk state training institute, Typescript deposition in VINITI No. 1813B93., Shadrinsk, 20 p.Google Scholar
  14. 14.
    Shchukin,E.R., Nadykto,A.B., 1998, Kinetics of large particle vaporization processes, given internal heat release. VANT. Th. and apply phys.,v. 1, pp. 39–42.Google Scholar
  15. 15.
    Shchukin,E.R., 2000, Diffusive vaporization and growth of large drop of solution. The Theses of Reports of The International Conference Dedicated of the Memory of The Professor of Sutugin A.G., Moscow, pp. 76–77.Google Scholar
  16. 16.
    Shchukin,E.R., Nadykto,A.B.,1999, Vaporization and growth of large and moderately large particles at considerable differences of gaseous component concentrations. In Mathematical Models of Non-Linear Excitations, Transfer, Dynamics and Control in Condensed Systems and Other Media. Ed. by L.A.Yvarova et al., Kluwer Academic/Plenum Publishers, New York, pp. 339–355.Google Scholar
  17. Shchukin,E.R., Nadykto,A.B., 1999, Diffusive vaporization and growth of assembly of N-large particles. In Mathematical Models of Non-Linear Excitations, Transfer, Dynamics and Control in Condensed Systems and Other Media. Ed. by L.A.Yvarova et al., Kluwer Academic/Plenum Publishers, New York, pp. 355–368.Google Scholar
  18. 18.
    Shchukin,E.R., 2001, Solution of some non-linear problems in the theory of heating, vaporization and burning of solid particles and drops. In Mathematical Modeling: Problems. Methods. Applications Ed. by L.A.Uvarova et al.., Kluwer Academic/Plenum Publishers, New York (to be published).Google Scholar
  19. 19.
    Shchukin,E.R., 2001, To method of solution of some non-linear systems of mathematical physics equations and the quasi-stationary theory of vaporization and growth of single drop and finite assembly of drops of pure liquid, Russian. Proceeding of the 1V Intern. Conference on Math. Modeling, Publishing House STANKIN, Moscow,v. 1, pp. 159–179.Google Scholar
  20. 20.
    Shchukin,E.R., 2001, On simplification and solution of some non-linear systems of equations of transport theory of multi-component media and their application, Russian Proceeding of the 1V Intern. Conference on Math. Modeling, Publishing House STANKIN, Moscow,v. 1.Google Scholar
  21. 21.
    Williams F.A.,1971, Combustion Theory. Nauka, Moscow.Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Eugene R. Shchukin
    • 1
  1. 1.Institute for High TemperatureRussian Academy of ScienceMoscowRussia

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