MATHEMATICAL MODELING OF THERMAL PROCESS IN FREEZING (THAWING) OF WET SOIL
| Autor: | Kumitskii, B. М., Savrasova, N. А., Sedaev, А. А. |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: | |
| DOI: | 10.25987/vstu.2019.42.2.002 |
| Popis: | Statement of the problem. The process of cooling and freezing of wet ground filling a flat parallel semi-infinite space. If we assume that the soil material is homogeneous and that there is no soil migration as well as heat transfer in melted and frozen soil is exclusively due to heat conductivity, this problem can be considered that of conjugacy of two temperature fields on the solidification (freezing) front with extra boundary conditions (Stefan conditions). Results and conclusions. The solution of the Fourier differential equations is carried out by means of the Laplace integral transformation method. The resulting accurate analytical solutions correspond to the temperature distribution in both phases and determine the law of the motion of the interface. The temperature field in the thawed soil corresponds to the Gauss distribution and in the frozen one, it varies linearly and corresponds to the solution of the stationary task of heat transfer in a flat one-layer wall with changing width. The results of the study can be used for nomograms to determine the duration and speed of freezing (thawing) of soil as well as design and construction. №2(42) (2019) |
| Databáze: | OpenAIRE |
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