SIMULATION OF DIFFUSION FLOWS IN TWO-PHASE MULTILAYERED STOCHASTICALLY NONHOMOGENEOUS BODIES WITH NON-UNIFORM DISTRIBUTION OF INCLUSIONS
Admixture diffusion flows are investigated in two-phase randomly nonhomogeneous multilayered strips with non-uniform distributions of inclusions. Cases where the most probable disposition of layered inclusions is located near the body boundary on which the mass source acts in the neighborhood of an...
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| Format: | Article |
| Language: | English |
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Gdańsk University of Technology
2015-07-01
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| Series: | TASK Quarterly |
| Subjects: | |
| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1873 |
| _version_ | 1818208062476910592 |
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| author | YEVHEN CHAPLYA OLHA CHERNUKHA ANASTASIIA DAVYDOK |
| author_facet | YEVHEN CHAPLYA OLHA CHERNUKHA ANASTASIIA DAVYDOK |
| author_sort | YEVHEN CHAPLYA |
| collection | DOAJ |
| description |
Admixture diffusion flows are investigated in two-phase randomly nonhomogeneous multilayered strips with non-uniform distributions of inclusions. Cases where the most probable disposition of layered inclusions is located near the body boundary on which the mass source acts in the neighborhood of another boundary and in the middle of the body are considered. The initial boundary value problem is formulated for the function of random mass flow under conditions of a constant flow on the upper surface and zero concentration of the admixture on the lower surface. Calculation formulae are obtained for the diffusion flow averaged over the ensemble of phase configurations in the particular cases of beta-distribution at zero and nonzero initial concentrations. The dependences of the averaged admixture flows on medium characteristics are established. It is shown that if the admixture diffusion coefficient in inclusions is greater than in the matrix, consolidation of inclusions in the middle of the body leads to an increasing diffusion flow. Simulation of the averaged diffusion flows of the admixture in the multilayered strip is performed for different model variants of a probable disposition of phases in the body and their comparative analysis is carried out.
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| first_indexed | 2024-12-12T04:38:51Z |
| format | Article |
| id | doaj.art-6ff5350c59b748feb1e7a96617632c90 |
| institution | Directory Open Access Journal |
| issn | 1428-6394 |
| language | English |
| last_indexed | 2024-12-12T04:38:51Z |
| publishDate | 2015-07-01 |
| publisher | Gdańsk University of Technology |
| record_format | Article |
| series | TASK Quarterly |
| spelling | doaj.art-6ff5350c59b748feb1e7a96617632c902022-12-22T00:37:53ZengGdańsk University of TechnologyTASK Quarterly1428-63942015-07-0119310.17466/TQ2015/19.3/JSIMULATION OF DIFFUSION FLOWS IN TWO-PHASE MULTILAYERED STOCHASTICALLY NONHOMOGENEOUS BODIES WITH NON-UNIFORM DISTRIBUTION OF INCLUSIONSYEVHEN CHAPLYA0OLHA CHERNUKHA1ANASTASIIA DAVYDOK2Kazimierz Wielki University in Bydgoszcz, Institute of Mechanics and Applied InformaticsCentre of Mathematical Modelling of Y. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of UkraineCentre of Mathematical Modelling of Y. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine Admixture diffusion flows are investigated in two-phase randomly nonhomogeneous multilayered strips with non-uniform distributions of inclusions. Cases where the most probable disposition of layered inclusions is located near the body boundary on which the mass source acts in the neighborhood of another boundary and in the middle of the body are considered. The initial boundary value problem is formulated for the function of random mass flow under conditions of a constant flow on the upper surface and zero concentration of the admixture on the lower surface. Calculation formulae are obtained for the diffusion flow averaged over the ensemble of phase configurations in the particular cases of beta-distribution at zero and nonzero initial concentrations. The dependences of the averaged admixture flows on medium characteristics are established. It is shown that if the admixture diffusion coefficient in inclusions is greater than in the matrix, consolidation of inclusions in the middle of the body leads to an increasing diffusion flow. Simulation of the averaged diffusion flows of the admixture in the multilayered strip is performed for different model variants of a probable disposition of phases in the body and their comparative analysis is carried out. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1873diffusion processmass flowrandom structureNeumann seriesaveraging over the ensemble of phase configurationsbeta-distribution |
| spellingShingle | YEVHEN CHAPLYA OLHA CHERNUKHA ANASTASIIA DAVYDOK SIMULATION OF DIFFUSION FLOWS IN TWO-PHASE MULTILAYERED STOCHASTICALLY NONHOMOGENEOUS BODIES WITH NON-UNIFORM DISTRIBUTION OF INCLUSIONS TASK Quarterly diffusion process mass flow random structure Neumann series averaging over the ensemble of phase configurations beta-distribution |
| title | SIMULATION OF DIFFUSION FLOWS IN TWO-PHASE MULTILAYERED STOCHASTICALLY NONHOMOGENEOUS BODIES WITH NON-UNIFORM DISTRIBUTION OF INCLUSIONS |
| title_full | SIMULATION OF DIFFUSION FLOWS IN TWO-PHASE MULTILAYERED STOCHASTICALLY NONHOMOGENEOUS BODIES WITH NON-UNIFORM DISTRIBUTION OF INCLUSIONS |
| title_fullStr | SIMULATION OF DIFFUSION FLOWS IN TWO-PHASE MULTILAYERED STOCHASTICALLY NONHOMOGENEOUS BODIES WITH NON-UNIFORM DISTRIBUTION OF INCLUSIONS |
| title_full_unstemmed | SIMULATION OF DIFFUSION FLOWS IN TWO-PHASE MULTILAYERED STOCHASTICALLY NONHOMOGENEOUS BODIES WITH NON-UNIFORM DISTRIBUTION OF INCLUSIONS |
| title_short | SIMULATION OF DIFFUSION FLOWS IN TWO-PHASE MULTILAYERED STOCHASTICALLY NONHOMOGENEOUS BODIES WITH NON-UNIFORM DISTRIBUTION OF INCLUSIONS |
| title_sort | simulation of diffusion flows in two phase multilayered stochastically nonhomogeneous bodies with non uniform distribution of inclusions |
| topic | diffusion process mass flow random structure Neumann series averaging over the ensemble of phase configurations beta-distribution |
| url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/1873 |
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