Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
IS THERMAL DIFFUSIVITY OF UNSATURATED SOILS A MONO-MAXIMUM FUNCTION OF THE MOISTURE CONTENT?
Form of presentationArticles in international journals and collections
Year of publication2023
Языканглийский
  • Obnosov Yuriy Viktorovich, author
  • Kacimov Anvar Rashidovich, author
  • Bibliographic description in the original language 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)
    Annotation 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.
    Keywords 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
    The name of the journal Journal of Engineering Physics and Thermophysics
    URL https://doi.org/10.1007/s10891-023-02801-1
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=286653&p_lang=2

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