The Inverse Problem of Identification of Hydrogen Permeability Model
One of the technological challenges for hydrogen materials science is the currently active search for structural materials with important applications (including the ITER project and gas-separation plants). One had to estimate the parameters of diffusion and sorption to numerically model the differe...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/4628346 |
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| author | Yury V. Zaika Natalia I. Rodchenkova Ekaterina K. Kostikova |
| author_facet | Yury V. Zaika Natalia I. Rodchenkova Ekaterina K. Kostikova |
| author_sort | Yury V. Zaika |
| collection | DOAJ |
| description | One of the technological challenges for hydrogen materials science is the currently active search for structural materials with important applications (including the ITER project and gas-separation plants). One had to estimate the parameters of diffusion and sorption to numerically model the different scenarios and experimental conditions of the material usage (including extreme ones). The article presents boundary value problems of hydrogen permeability and thermal desorption with dynamical boundary conditions. A numerical method is developed for TDS spectrum simulation, where only integration of a nonlinear system of low order ordinary differential equations is required. The main final output of the article is a noise-resistant algorithm for solving the inverse problem of parametric identification for the aggregated experiment where desorption and diffusion are dynamically interrelated (without the artificial division of studies into the diffusion limited regime (DLR) and the surface limited regime (SLR)). |
| format | Article |
| id | doaj-art-2443e1c3c4dc40579219f3ef05710134 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2443e1c3c4dc40579219f3ef057101342025-02-03T05:45:49ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/46283464628346The Inverse Problem of Identification of Hydrogen Permeability ModelYury V. Zaika0Natalia I. Rodchenkova1Ekaterina K. Kostikova2Institute of Applied Mathematical Research of the Karelian Research Centre of the Russian Academy of Sciences, 11 Pushkinskaya St., Petrozavodsk 185910, RussiaInstitute of Applied Mathematical Research of the Karelian Research Centre of the Russian Academy of Sciences, 11 Pushkinskaya St., Petrozavodsk 185910, RussiaInstitute of Applied Mathematical Research of the Karelian Research Centre of the Russian Academy of Sciences, 11 Pushkinskaya St., Petrozavodsk 185910, RussiaOne of the technological challenges for hydrogen materials science is the currently active search for structural materials with important applications (including the ITER project and gas-separation plants). One had to estimate the parameters of diffusion and sorption to numerically model the different scenarios and experimental conditions of the material usage (including extreme ones). The article presents boundary value problems of hydrogen permeability and thermal desorption with dynamical boundary conditions. A numerical method is developed for TDS spectrum simulation, where only integration of a nonlinear system of low order ordinary differential equations is required. The main final output of the article is a noise-resistant algorithm for solving the inverse problem of parametric identification for the aggregated experiment where desorption and diffusion are dynamically interrelated (without the artificial division of studies into the diffusion limited regime (DLR) and the surface limited regime (SLR)).http://dx.doi.org/10.1155/2018/4628346 |
| spellingShingle | Yury V. Zaika Natalia I. Rodchenkova Ekaterina K. Kostikova The Inverse Problem of Identification of Hydrogen Permeability Model Advances in Mathematical Physics |
| title | The Inverse Problem of Identification of Hydrogen Permeability Model |
| title_full | The Inverse Problem of Identification of Hydrogen Permeability Model |
| title_fullStr | The Inverse Problem of Identification of Hydrogen Permeability Model |
| title_full_unstemmed | The Inverse Problem of Identification of Hydrogen Permeability Model |
| title_short | The Inverse Problem of Identification of Hydrogen Permeability Model |
| title_sort | inverse problem of identification of hydrogen permeability model |
| url | http://dx.doi.org/10.1155/2018/4628346 |
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