Ray theory for high-Péclet-number convection-diffusion
Asymptotic methods based on those of geometrical optics are applied to some steady convection-diffusion streamed flows at a high Péclet number. Even with the assumption of inviscid, irrotational flow past a body with uniform ambient conditions, the rays from which the solution is constructed can onl...
| Main Authors: | , , |
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| Format: | Journal article |
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1999
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| _version_ | 1797057443738419200 |
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| author | Chapman, S Lawry, J Ockendon, J |
| author_facet | Chapman, S Lawry, J Ockendon, J |
| author_sort | Chapman, S |
| collection | OXFORD |
| description | Asymptotic methods based on those of geometrical optics are applied to some steady convection-diffusion streamed flows at a high Péclet number. Even with the assumption of inviscid, irrotational flow past a body with uniform ambient conditions, the rays from which the solution is constructed can only be found after local analyses have been carried out near the stagnation points. In simple cases, the temperature away from the body is the sum of contributions from each stagnation point. |
| first_indexed | 2024-03-06T19:36:26Z |
| format | Journal article |
| id | oxford-uuid:1f349a6c-5f76-4f85-96b7-1fcf373b459e |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:36:26Z |
| publishDate | 1999 |
| record_format | dspace |
| spelling | oxford-uuid:1f349a6c-5f76-4f85-96b7-1fcf373b459e2022-03-26T11:20:34ZRay theory for high-Péclet-number convection-diffusionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1f349a6c-5f76-4f85-96b7-1fcf373b459eMathematical Institute - ePrints1999Chapman, SLawry, JOckendon, JAsymptotic methods based on those of geometrical optics are applied to some steady convection-diffusion streamed flows at a high Péclet number. Even with the assumption of inviscid, irrotational flow past a body with uniform ambient conditions, the rays from which the solution is constructed can only be found after local analyses have been carried out near the stagnation points. In simple cases, the temperature away from the body is the sum of contributions from each stagnation point. |
| spellingShingle | Chapman, S Lawry, J Ockendon, J Ray theory for high-Péclet-number convection-diffusion |
| title | Ray theory for high-Péclet-number convection-diffusion |
| title_full | Ray theory for high-Péclet-number convection-diffusion |
| title_fullStr | Ray theory for high-Péclet-number convection-diffusion |
| title_full_unstemmed | Ray theory for high-Péclet-number convection-diffusion |
| title_short | Ray theory for high-Péclet-number convection-diffusion |
| title_sort | ray theory for high peclet number convection diffusion |
| work_keys_str_mv | AT chapmans raytheoryforhighpecletnumberconvectiondiffusion AT lawryj raytheoryforhighpecletnumberconvectiondiffusion AT ockendonj raytheoryforhighpecletnumberconvectiondiffusion |