New models of porous media with rotational symmetry and their application
| Autor: | R. A. Turusov, A. Sergeev, A. Elakov, E. Bogachev |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Materials science
Computer simulation Rotational symmetry Complex system General Physics and Astronomy 02 engineering and technology Radius Mechanics 010402 general chemistry 021001 nanoscience & nanotechnology 01 natural sciences 0104 chemical sciences Boundary value problem 0210 nano-technology Porous medium Porosity Bifurcation |
| Zdroj: | The European Physical Journal Plus. 135 |
| ISSN: | 2190-5444 |
| DOI: | 10.1140/epjp/s13360-020-00576-5 |
| Popis: | This study offers new models of porous media, where the pores are present in the form of a disk-shaped or a sector-shaped gap. These models are usable for representing cylindrical-symmetry porous media, given an axial loading of the media and their elastic reaction, taking into account the viscous flow in the pores. When using the disk-shaped gap model, the viscous flow problem appears to be two-dimensional, while with the sectoral gap model—three-dimensional. With the sectoral gap model, it is possible to use multiple bifurcation of the sector for any radius, thus implementing a dichotomy. Thus, the resulting solution obtained for the three-dimensional case can be multiplied by applying new boundary conditions for each dichotomy radius, changing almost nothing in the porosity and shape over the entire thickness of the cylindrical body. Analytical relationships are suggested to describe a liquid flow through a disk-shaped or a sector-shaped gap. Results of numerical simulation of a liquid flow through a disk-shaped gap are presented. |
| Databáze: | OpenAIRE |
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