Statistical-physical models of mass and energy transfer in porous medium
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Instytut Agrofizyki im. Bohdana Dobrzańskiego, Polska Akademia Nauk, ul. Doświadczalna 4, 20-290 Lublin 27, Poland
Publication date: 2020-05-27
Acta Agroph. 2000, (29), 3–113
The exchange of mass and energy taking place in a porous medium is the main goal of studies of many scientific branches and agrophysics belongs to them. This process is measured and calculated as the quantity of mass and energy transferred from one thermodynamic system to another and is to be determined on the basis of its transport properties. A new statistical model of the mass and energy transfer has been formulated in this paper on the bases of the most fundamental conceptions and ideas of mechanics, thermodynamics and electrodynamics. This new model makes possible the description of connection between the properties of the porous medium and the directly measured physical values. The model enabled for consideration of the following porous medium properties:
• electrical properties of the porous medium from the viewpoint of determination of its salinity on the basis of the measured bulk electrical conductivity and determination of its moisture content from the measurement of the porous medium dielectric constant,
• hydraulic, pneumatic and diffusive properties of porous medium resulting in determination of its gas and water conductivity as well as in determination of its diffusivity from the water retention curves,
• thermal properties of the porous medium leading to determination of its thermal conductivity from the basic properties of solid, liquid and gas phases forming this medium.
The calculations based on this new statistical model and comparison of the calculated results with the data measured as well as statistical analysis can be a basis to the statement, that this model predicts the mass and energy transfer with the satisfactory accuracy. This procedure confirms correctness of the assumptions introduced and simplifications used during its construction as well as permits for the statement that the parameters were fitted properly.
Statystyczno-fizyczne modele przepływu masy i energii w ośrodku porowatym