UDC 532.77.001.57


Eliseev V.I., Ph.D. (Phys.-Math.), Senior Researcher,

Lutsenko V.I., Ph.D. (Tech.), Senior Researcher

(IGTM NAS of Ukraine)

Abstract.A problem of nucleate boiling of an aqueous solution of sucrose moving in a vertical cylindrical channel is considered. The problem is based on the one-dimensional steady-state equations of heat and mass motion and transfer for the multiphase multicomponent flow written down in view of phase transition on the surfaces of the channel and in volume of the solution. Kinetics of nucleation on the pipe wall is based on semi-empirical dependences between frequency of bubbles formation, number of nucleation sites, structure of surface and the surface overheating. Two stages of the boiling process are considered. In subcooled liquid, bubbles formed on a wall are, at achieving critical radius, picked up by a flow and brought to the cold layers where they are collapsed emitting heat into solution. Temperature of the solution increases due to action of two factors – collapse of bubbles and liberation of the heat flow from the walls. In the overheated liquid, at presence of plenty of growing bubbles, a condition is possible when heat coming from the wall is equal to heat released by the bubbles in the liquid. Thermal balance is occurred in the solution, and the solution temperature does not increase in the upstream part of the flow.

A proposed mathematical model provides basic characteristics of the solution boiling in the channel and estimates their impact on the boiling dynamics.


 solution, nucleate boiling, critical radius, heat transfer.


  1. Nesis, E.I. (1973), Kipeniye zhidkostey [Boiling of liquids], Nauka, Moscow, SU.
  2. Tolubinsky, V.I. (1980), Teploobmen pri kipeniyi [Heat exchange at boiling], Naukova dumka, Kiev, SU.
  3. Prisnjakov, V.F. (1988), Kipeniye [Boiling], Naukova dumka, Kiev, SU.
  4. Gerliga, V.A. and Skalozubov, V.I. (1992), Puzyrkovye kipyashchiye potoki v energooborudovanii [Bubble boiling flows in power equipment], Energoatomizdat, Moscow. Russia
  5. Tolubinsky, V.I. and Ostrovsky, N.JU. (1988) Boiling of mixes in conditions free motion (review)”, Promishlennaja teplotekhnika, vol. 10, no. 3, pp. 3-14.
  6. Pioro, I.L. Antonenko, V.A. and Pioro, L.S. (1991), Effektivnye teploobmenniki s dvuhfaznymy termosifonamy [Effective heat exchangers with biphase thermosyphons], Naukova dumka, Kiev, SU.
  7. Kravchenko, V.A. and Kostanchuk, D.M. (1990), Teploobmen pri kipeniyi smesey[Heat exchange at boiling mixes], Naukova dumka, Kiev, SU.
  8. Nigmatullin, R.I. (1987), Dinamika mnogofaznyh sred [Dynamics of multiphase environments], v. 1, 2, Science, Moscow. SU.
  9. Nakorchevsky, A.I. and Basok, B.I. (2001), Gidrodinamika I teplomassoperenos v geterogennyh sistemah i pulsiruyushchih potokah [Hydrodynamics and heat and mass transfer in heterogeneous systems and pulsing flows], Naukova dumka, Kiev.Ukraine
  10. Popov, V.D. (1973), Osnovy terii teplo- I massoperenosa pri kristalizatsii saharozy [Basis of the theory of heat and mass transfer at crystallization of sucrose], Food-processing industry, Moscow, SU.
  11. Zubchenko, A.V. (1973), Novoe v kinetike kristallizatsii [New in kinetics of crystallization], Food-processing industry, Moscow, SU.
  12. Gulyj, I.S. (1976), Nepreryvnaya varka i kristalizatsiya sahara. Tereticheskiye i eksperimentalnye razrabotki [Continuous cooking and crystallization of sugar. Theoretical and experimental development], Food-processing industry, Moscow, SU.
  13. Prisnjakov, V.F. (1997), “Density of nucleation sites, part I”, Promishlennaj teplotehnika, v. 19,         № 2-3, pp. 20-27, Kiev. Ukraine
  14. Prisnjakov, V.F. (1997), “Density of nucleation sites, part II”, Promishlennaj teplotehnika, v. 19,       № 4-5, pp. 33-38. Kiev. Ukraine
  15. Battervorsa, D and Hjuita G (ed.), (1980), Teploperedacha v dvuhfaznom potoke, [Heat transfer in biphase flow], Energy, Moscow, Russia
  16. Chisholm, D. (1986), Dvuhfazhye techeniya v truboprovodah I teploobmennikah [Biphase currents in pipes and heat exchangers], Nedra, Moscow, SU.

About the authors:

Eliseev Vladimir Ivanovich, Candidate of Physics and Mathematics, Ph.D. (Phys.-Mat.), Senior Researcher, Senior Researcher in Department of Mine Energy Complexes, N. S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Sciences of Ukraine (IGTM, NASU), Dnepropetrovsk, Ukraine

Lutsenko VasiliIy Ivanovich, Candidate  of Technical Sciences, Ph.D.(Tech.), Senior Researcher, Senior Researcher in Department of Mine Energy Complexes, N. S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Sciences of Ukraine (IGTM, NASU), Dnepropetrovsk, Ukraine,

FileDescriptionFile size