Казанский (Приволжский) федеральный университет, КФУ
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ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ
 
IS THERMAL DIFFUSIVITY OF UNSATURATED SOILS A MONO-MAXIMUM FUNCTION OF THE MOISTURE CONTENT?
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2023
Языканглийский
  • Обносов Юрий Викторович, автор
  • Kacimov Anvar Rashidovich, автор
  • Библиографическое описание на языке оригинала A. R. Kacimov, Yu. V. Obnosov Is Thermal Diffusivity of Unsaturated Soils a Mono-Maximum Function of the Moisture Content? The Chudnovsky Legacy Revisited. Journal of Engineering Physics and Thermophysics. 2023, 96-5, pp. 1361-1371, DOI 10.1007/s10891-023-02801-1(IF=0.331, Q2)
    Аннотация The conductive heat transfer in the three-dimensional medium water–air–solid grain was investigated on the basis of the exact analytical solution of the problem on the steady harmonic 2D temperature field in a composite having a doubly periodic chequered structure in the form of an isogonal tiling. An explicit expression for the diffusivity of the indicated composite depending on its volumetric moisture content has been constructed. It was established that the diffusivity of this composite reaches a physically meaningful maximum at a certain degree of its saturation with water. It is shown that the expression obtained is analogous to the solution of the classical Muscat problem on the filtration of oil in a doubly periodic array of production and injection wells.
    Ключевые слова porous medium, thermal diffusivity, effective thermal conductivity, steady heat conduction, singlemaximum function, solid fibers, doubly periodic chequered structure, Maxwell refraction, composite four-sector square, upscaling, holomorphic functions, R-linear conjugation problem
    Название журнала Journal of Engineering Physics and Thermophysics
    URL https://doi.org/10.1007/s10891-023-02801-1
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