Showing papers on "Stefan number published in 1982"
TL;DR: In this article, an analysis for the solidification in a rectangular enclosure whose top and bottom surfaces are kept adiabatic and sides are kept at a constant temperature is carried out.
72 citations
01 Jun 1982
TL;DR: In this paper, the authors present a coupled set of two differential equations in temperature and solid thickness as a function of position, time and the problem parameters for planar solidification of a warm flowing liquid with the convective heat transfer to the growing solid layer.
Abstract: Planar solidification of a warm flowing liquid with the convective heat transfer to the growing solid layer, has been analysed for the boundary conditions of constant temperature, constant heat flux and convective heat flux at the surface respectively. The mathematical formulation of the problem resulted in a coupled set of two differential equations in temperature and solid thickness as function of position, time and the problem parameters. Analytical expressions for the temperature distribution within the growing solid layer, the rate of solidification and the solidification time are obtained. The perturbation techniques employed here is simple and straight forward in contrast with the earlier techniques. Good agreement between the experimental results and the present solutions is obtained for the convective heat flux boundary condition. The results of this analysis are useful in the design and analysis of experiments dealing with freezing/melting in one dimension. The role of the parameter Stefan number which is small for phase change materials, is discussed in context with the storage of thermal energy.
6 citations