Solvability of the Brinkman-Forchheimer-Darcy Equation
The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are presented for nonlinear convective flows in medium with variable porosity and for small data....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/7305230 |
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| _version_ | 1832559424301957120 |
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| author | Piotr Skrzypacz Dongming Wei |
| author_facet | Piotr Skrzypacz Dongming Wei |
| author_sort | Piotr Skrzypacz |
| collection | DOAJ |
| description | The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are presented for nonlinear convective flows in medium with variable porosity and for small data. Furthermore, the finite element approximations to the flow profiles in the fixed bed reactor are presented for several Reynolds numbers at the non-Darcy’s range. |
| format | Article |
| id | doaj-art-78b82a9aec4a4ab0808288e9cf540d8c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-78b82a9aec4a4ab0808288e9cf540d8c2025-02-03T01:30:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422017-01-01201710.1155/2017/73052307305230Solvability of the Brinkman-Forchheimer-Darcy EquationPiotr Skrzypacz0Dongming Wei1School of Science and Technology, Nazarbayev University, 53 Kabanbay Batyr Ave., Astana 010000, KazakhstanSchool of Science and Technology, Nazarbayev University, 53 Kabanbay Batyr Ave., Astana 010000, KazakhstanThe nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are presented for nonlinear convective flows in medium with variable porosity and for small data. Furthermore, the finite element approximations to the flow profiles in the fixed bed reactor are presented for several Reynolds numbers at the non-Darcy’s range.http://dx.doi.org/10.1155/2017/7305230 |
| spellingShingle | Piotr Skrzypacz Dongming Wei Solvability of the Brinkman-Forchheimer-Darcy Equation Journal of Applied Mathematics |
| title | Solvability of the Brinkman-Forchheimer-Darcy Equation |
| title_full | Solvability of the Brinkman-Forchheimer-Darcy Equation |
| title_fullStr | Solvability of the Brinkman-Forchheimer-Darcy Equation |
| title_full_unstemmed | Solvability of the Brinkman-Forchheimer-Darcy Equation |
| title_short | Solvability of the Brinkman-Forchheimer-Darcy Equation |
| title_sort | solvability of the brinkman forchheimer darcy equation |
| url | http://dx.doi.org/10.1155/2017/7305230 |
| work_keys_str_mv | AT piotrskrzypacz solvabilityofthebrinkmanforchheimerdarcyequation AT dongmingwei solvabilityofthebrinkmanforchheimerdarcyequation |