Abstract:
Numerical investigation of melting of a plane layer with
transparent and semitransparent boundaries has been carried
out. The mathematical phase change model is a formulation
of the One-Phase Stefan problem. The correct statement of
radiative-conductive heat transfer (RCHT) problem requires
accounting of optical properties as functions of radiation
wavelength. To account the selectivity of optical properties
the model of rectangular bands was applied. In this model
some rectangular bands are taken in the spectrum with
constant values of optical coefficients. The algorithm on the
basis of modified mean fluxes method has been used for the
numerical calculation of the radiation transfer equation. The
energy equations are solved by a finite-difference method.
The subject of this paper is to study the effect of the
radiation on the temperature distribution and the velocity of
the phase change front during melting of semitransparent
medium. The first stage of the problem solving is to study
RCHT in a solid plane layer by radiation and convection
heating. The second stage is to consider Stefan’s problem. It
is assumed that liquid phase sublimates and it is removed by
convection. Numerical results of the temperature
distribution, radiation fluxes and the position of the phase
change front are presented in this paper. The numerical
results are obtained first for the material with selective
absorption of radiation with using One-Phase Stefan
problem.
Description:
Papers presented to the 12th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Costa de Sol, Spain on 11-13 July 2016.
