Application of the heat balance integral to conduction phase change problems
Abstract
The problem of heat conduction with phase change, often called the Stefan problem includes some of the most intractable mathematical areas of heat transfer. Exact solutions are extremely limited and approximate methods are widely used. This report discusses the collocation method for the heat balance integral approximation. The method is applied to some standard problems of phase change, Neumann's problem, and a new solution is presented for the case of surface convection for a semiinfinite body. Numerical results are given for soil systems and also for materials of interest in latent heat thermal storage.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1981
 Bibcode:
 1981STIN...8227692L
 Keywords:

 Conductive Heat Transfer;
 Convection;
 Neumann Problem;
 Phase Transformations;
 Energy Storage;
 Flux (Rate);
 Heat Flux;
 Integral Equations;
 Latent Heat;
 Soils;
 StefanBoltzmann Law;
 Fluid Mechanics and Heat Transfer