Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles
The main goal of this paper is to characterize the change of structural behavior (i.e. the appearance of the so-called ‘strange terms’) arising in the homogenization process when applied to distributed microscopic chemical reactions taking place on fixed-bed nanoreactors, at the microscopic level, o...
| Үндсэн зохиолчид: | , , , |
|---|---|
| Формат: | Journal article |
| Хэл сонгох: | English |
| Хэвлэсэн: |
Taylor and Francis
2018
|
| _version_ | 1826266220252364800 |
|---|---|
| author | Díaz, JI Gómez-Castro, D Shaposhnikova, TA Zubova, MN |
| author_facet | Díaz, JI Gómez-Castro, D Shaposhnikova, TA Zubova, MN |
| author_sort | Díaz, JI |
| collection | OXFORD |
| description | The main goal of this paper is to characterize the change of structural behavior (i.e. the appearance of the so-called ‘strange terms’) arising in the homogenization process when applied to distributed microscopic chemical reactions taking place on fixed-bed nanoreactors, at the microscopic level, on the boundary of the particles of critical size. The presence of non-homogeneous distributed functions bjε(x) of the reaction kinetics may be originated by many different reasons. The case of quick oscillation is often due to own structure of the fixed bed reactor since the flux of the fluid acts on each particle in a non-homogeneous way. In some other cases, the non-homogeneous distributed functions bjε(x) of the reaction kinetics is artificially provoked in order to control a certain desired global effect. Our main result gives a complete classification of the strange terms according the assumed periodicity on the distributed functions bjε(x) of the reaction kinetic. |
| first_indexed | 2024-03-06T20:35:36Z |
| format | Journal article |
| id | oxford-uuid:32851905-90b9-4d40-a79c-a3d632a49967 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:35:36Z |
| publishDate | 2018 |
| publisher | Taylor and Francis |
| record_format | dspace |
| spelling | oxford-uuid:32851905-90b9-4d40-a79c-a3d632a499672022-03-26T13:14:38ZClassification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particlesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:32851905-90b9-4d40-a79c-a3d632a49967EnglishSymplectic ElementsTaylor and Francis 2018 Díaz, JIGómez-Castro, DShaposhnikova, TAZubova, MNThe main goal of this paper is to characterize the change of structural behavior (i.e. the appearance of the so-called ‘strange terms’) arising in the homogenization process when applied to distributed microscopic chemical reactions taking place on fixed-bed nanoreactors, at the microscopic level, on the boundary of the particles of critical size. The presence of non-homogeneous distributed functions bjε(x) of the reaction kinetics may be originated by many different reasons. The case of quick oscillation is often due to own structure of the fixed bed reactor since the flux of the fluid acts on each particle in a non-homogeneous way. In some other cases, the non-homogeneous distributed functions bjε(x) of the reaction kinetics is artificially provoked in order to control a certain desired global effect. Our main result gives a complete classification of the strange terms according the assumed periodicity on the distributed functions bjε(x) of the reaction kinetic. |
| spellingShingle | Díaz, JI Gómez-Castro, D Shaposhnikova, TA Zubova, MN Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles |
| title | Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles |
| title_full | Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles |
| title_fullStr | Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles |
| title_full_unstemmed | Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles |
| title_short | Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles |
| title_sort | classification of homogenized limits of diffusion problems with spatially dependent reaction over critical size particles |
| work_keys_str_mv | AT diazji classificationofhomogenizedlimitsofdiffusionproblemswithspatiallydependentreactionovercriticalsizeparticles AT gomezcastrod classificationofhomogenizedlimitsofdiffusionproblemswithspatiallydependentreactionovercriticalsizeparticles AT shaposhnikovata classificationofhomogenizedlimitsofdiffusionproblemswithspatiallydependentreactionovercriticalsizeparticles AT zubovamn classificationofhomogenizedlimitsofdiffusionproblemswithspatiallydependentreactionovercriticalsizeparticles |