Determination of position-dependent solid fraction by a new cooling curve analysis method: Semi-Newtonian Fourier thermal analysis
Özet
In this study, a method of cooling curve analysis (CCA) was developed to obtain the solid fraction of the liquid metal as a function of both position and time. Obtaining the solid fraction depending on the location is valuable to see the spatial improvement of solidification and examine the factors affecting it (gravity, heterogeneity, the effect of the mold, etc.). In previous studies using CCA, which is a low-cost method, the solid fraction has been found only depending on time, even if Fourier thermal analysis (FTA) was used. Thus, this method, called semiNewtonian FTA (SNFTA), is unique in that it uses CCA to calculate the solid fraction as a function of both position and time. After developing the SNFTA method combining Newton and Fourier heat equations, its accuracy was tested in two ways. The method was applied to pure tin and the thermal diffusivity and latent heat values of the tin were then estimated. It was observed that the predicted diffusivity and latent heat values deviated little from their original values. Therefore, it can be said that the local solid fraction functions obtained by this method were reliable.