METHOD FOR CALCULATING THE PROCESSES OF MELTING AND SOLIDIFICATION OF HEAT-ACCUMULATING MATERIALS IN FINE CAPSULES

We propose a new method for calculating the processes of melting and solidifi cation of heat-accumulating materials placed inside small-sized elastic capsules of symmetric form. The specifi c feature of the method is the simultaneous solution of the heat conduction equation joined for both phases and the equation for the rate of change in the mass fraction of the new phase in the layer between two neighboring nodes of a stationary computational mesh. The method permits using explicit fi nite-difference schemes for continuous calculations of the nonlinear heat conduction equation without loss of stability at weak and alternating external heat fl ows, as well as in the presence of several phase transition zones in the capsule. The paper presents the results of a test solution of the two-phase Stefan problem for an unbounded plate and the results of calculations for spherical capsules with n-paraffi n in one regenerative convective heat cycle.
   
Author:  V. N. Didenko, R. Z. Kasimov, and D. N. Popov
Keywords:  method for heat transfer calculation, zone and degree of phase transition, Stefan problem, stability of a solution, computational modeling
Page:  18