Analytical solution for the soil freezing process induced by an infinite line sink
| Autor: | Yang Zhou, Guoqing Zhou, Xiao-xue Hu, Xiang-you Shi, Ting Li |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
geography
geography.geographical_feature_category Materials science Ground freezing 020209 energy 0211 other engineering and technologies General Engineering Stefan problem 02 engineering and technology Mechanics Condensed Matter Physics Sink (geography) Matrix similarity Approximation error Latent heat 0202 electrical engineering electronic engineering information engineering Front velocity Water content 021101 geological & geomatics engineering |
| Zdroj: | International Journal of Thermal Sciences. 127:232-241 |
| ISSN: | 1290-0729 |
| DOI: | 10.1016/j.ijthermalsci.2018.01.013 |
| Popis: | One-dimensional soil freezing process induced by an infinite line sink is investigated, a problem that is generally encountered during the application of the artificial ground freezing technique. The special feature of the freezing process of soil is that the amount of liquid water in the soil pores decreases gradually with the soil temperature decreasing, and thus latent heat is continuously released. After approximating the continuous phase change process of the soil with a multi-step phase change process of a polymorphous material, the original problem is transformed to a cylindrical multiphase Stefan problem. Using the similarity transformation technique, an analytical solution for the problem is developed, in which there are coefficients that need to be determined by a group of non-linear equations. A theoretical proof is presented showing that these coefficients can be appropriately determined by the non-linear equations. The computational results of the analytical solution are compared with those of the numerical solution, and the two solutions are in good agreement. The effects of the variation of different parameters on the movement of freezing front are studied. The results show that neglecting the existence of unfrozen water will underestimate the freezing front velocity. The relative error of this underestimation under different conditions is also investigated and discussed. In situations that the unfrozen water content is given as a discrete function of the temperature, the analytical solution can be applied directly, and an illustrative example is presented. |
| Databáze: | OpenAIRE |
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