Analytical solution for temperature field around a single freezing pipe considering unfrozen water
Abstract：For the freezing process induced by single freezing pipe during the application of artificial ground freezing technique,the continuous phase change of the soil water with the decreasing soil temperature was considered.A discrete phase change model of the temperature field was established after the continuous phase change of soil water was discretized.An analytical solution for the model was presented.The solution was verified with the numerical results of the continuous phase change model.The effect of unfrozen water in the frozen soil was studied.And the results indicate that neglecting the unfrozen water can underestimate the moving velocity of the freezing front,and this effect increases with the soil specific surface increasing.
Keywords：unfrozen watersingle freezing pipetemperature fieldanalytical solution
Publication Date：2012-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 1649-1653 )