International Journal of Science, Engineering and TechnologyAuthors: Dr. P. Bhargavi
Abstract: Transient heat transfer problems described by non-linear partial differential equations along with the moving interface conditions are special type of boundary value problems known as moving boundary problems or Stefan Problems. Freezing/melting problems are referred as Stefan problems, as these problems are first encountered by Physician Joseph Stefan and proposed a model for the polar ice-melting problem. The essential feature of a system undergoing phase change is that a moving interface exists separating two regions of different thermo -physical properties at which energy is absorbed or released, separating the two phases. The objective of this paper is to get mathematical understanding of the heat and mass transfer of the phase change problems with unknown free boundaries and solutions for different type of Stefan problems through research article review analysis. This study gives a clear picture on mathematical modelling of phase change problems with different solution techniques to quantify the process to predict the evolution of the temperature field in the material, the amount of energy used and stored, the interface location and thickness, the interface velocity, final time of freezing and analysis of phase change processes at the macroscopic level.
DOI: https://doi.org/10.5281/zenodo.17719381
