Mathematical modelling of curtain coating
We present a simple mathematical model for the fluid flow in the curtain coating process, exploiting the small aspect ratio, and examine the model in the large-Reynolds-number limit of industrial interest. We show that the fluid is in free fall except for a region close to the substrate, but find th...
| Huvudupphovsmän: | , , , , |
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| Materialtyp: | Journal article |
| Publicerad: |
2005
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| _version_ | 1826296401242357760 |
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| author | Dyson, R Howell, P Breward, C Herdman, P Brander, J |
| author_facet | Dyson, R Howell, P Breward, C Herdman, P Brander, J |
| author_sort | Dyson, R |
| collection | OXFORD |
| description | We present a simple mathematical model for the fluid flow in the curtain coating process, exploiting the small aspect ratio, and examine the model in the large-Reynolds-number limit of industrial interest. We show that the fluid is in free fall except for a region close to the substrate, but find that the model can not describe the turning of the curtain onto the substrate. We find that the inclusion of a viscous bending moment close to the substrate allows the curtain to “turn the corner”. |
| first_indexed | 2024-03-07T04:15:46Z |
| format | Journal article |
| id | oxford-uuid:c95a2ecb-2a66-4e69-9793-717975b1b468 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:15:46Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:c95a2ecb-2a66-4e69-9793-717975b1b4682022-03-27T06:58:36ZMathematical modelling of curtain coatingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c95a2ecb-2a66-4e69-9793-717975b1b468Mathematical Institute - ePrints2005Dyson, RHowell, PBreward, CHerdman, PBrander, JWe present a simple mathematical model for the fluid flow in the curtain coating process, exploiting the small aspect ratio, and examine the model in the large-Reynolds-number limit of industrial interest. We show that the fluid is in free fall except for a region close to the substrate, but find that the model can not describe the turning of the curtain onto the substrate. We find that the inclusion of a viscous bending moment close to the substrate allows the curtain to “turn the corner”. |
| spellingShingle | Dyson, R Howell, P Breward, C Herdman, P Brander, J Mathematical modelling of curtain coating |
| title | Mathematical modelling of curtain coating |
| title_full | Mathematical modelling of curtain coating |
| title_fullStr | Mathematical modelling of curtain coating |
| title_full_unstemmed | Mathematical modelling of curtain coating |
| title_short | Mathematical modelling of curtain coating |
| title_sort | mathematical modelling of curtain coating |
| work_keys_str_mv | AT dysonr mathematicalmodellingofcurtaincoating AT howellp mathematicalmodellingofcurtaincoating AT brewardc mathematicalmodellingofcurtaincoating AT herdmanp mathematicalmodellingofcurtaincoating AT branderj mathematicalmodellingofcurtaincoating |