MATEC Web Conf.
Volume 73, 2016XV International Conference “Topical Problems of Architecture, Civil Engineering, Energy Efficiency and Ecology – 2016”
|Number of page(s)||8|
|Section||Construction in the Arctic and permafrost|
|Published online||11 August 2016|
Solution of the Moisture Phase Transition Problem in the Insulation and Soils near Pipelines
Industrial University of Tyumen, 625001 Volodarskogo str. 38, Tyumen, Russia
* Corresponding author: firstname.lastname@example.org
The analysis of various approaches to the heat conductivity modeling in soils with phase transition based on Stefan problem is provided. Herein the analytical solution for Stefan problem is received only for special cases.The approximate methods of mathematical modeling of heat exchange in soils and construction materials based on the Stefan problem without initial data are offered. The found analytical solution can be a basis for approximate solutions of a wide range of heat exchange problems at harmonious oscillation of temperature on one of the borders. The mathematical apparatus for estimating problems solution of freezing and melting in areas with plane-parallel and axial symmetry is considered. Solutions for applied problems of constructions building and operation in the permafrost conditions are provided.
© The Authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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