Scientific journal
Scientific Review. Technical science
ISSN 2500-0799
ПИ №ФС77-57440

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ANALYSIS OF TEMPERATURE FIELDS IN FREEZING AND MELTING MOIST SOILS

Aksenov B.G. 1 Fomina V.V. 1 Lepihin A.S. 1
1 Tyumen State University of Architecture and Civil Engineering
In this work the method of creation of being narrowed system of estimates of the solution of a problem of heat conductivity with nonmonotonic boundary conditions which describes heat exchange process with phase transition in moist disperse soil is considered. The solution looks like a system of functions, which majorize the sought-for funcion in turns from above and from below. Estimates are found by means of comparison theorems for the equations of parabolic type. Theorems of comparison are called also monotony theorems, as monotony is a natural condition of their application. In this work problems with nonmonotonic boundary conditions are considered, owing to what the sought-for function is also nonmonotonic. The implicit technique, allowing to replace nonmonotonic functions by a certain combination of monotonic is developed. Then it is possible to apply comparison theorems, or integrated inequalities to create the estimates of the solution. The effective technique of numerical realisation of this method is given. The numerical analysis of the solution of a test task is carried out.