MATHEMATICAL MODEL OF SUCROSE SOLUTION NUCLEATE BOILING

Details

Parent Category: Geo-Technical Mechanics, 2014

Category: Geo-Technical Mechanics, 2014, Issue 119

UDC 532.77.001.57

Authors:

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.

Keywords:

 solution, nucleate boiling, critical radius, heat transfer.

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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, Lutsenko2@yandex.ru

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