A depth-averaged model for non-isothermal thin-film rimming flow
A model for non-isothermal shear-driven thin-film flow on the inside surface of a stationary circular cylinder is presented. Motivated by an application to film flow in an aero-engine bearing chamber the model extends lubrication theory analysis of thin films to retain the important effects of inert...
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| Format: | Article |
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Elsevier
2014
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| Online Access: | https://eprints.nottingham.ac.uk/47444/ |
| _version_ | 1848797548057198592 |
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| author | Kay, E.D. Hibberd, Stephen Power, H. |
| author_facet | Kay, E.D. Hibberd, Stephen Power, H. |
| author_sort | Kay, E.D. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | A model for non-isothermal shear-driven thin-film flow on the inside surface of a stationary circular cylinder is presented. Motivated by an application to film flow in an aero-engine bearing chamber the model extends lubrication theory analysis of thin films to retain the important effects of inertia and heat convection.The accuracy of the depth-averaged temperature model is tested and comparisons illustrate the model is accurate for both conduction- and convection-dominant flows although local inaccuracies are introduced in regions exhibiting sharp changes in boundary temperature when convective effects are strong.Three rimming-flow configurations are considered: uni-directional flow with slowly-varying film height, a solution containing a steep front termed a shock, and a pooling solution where fluid accumulates in a recirculation at the base of the cylinder. The temperature field in the latter two which include recirculation features are greatly influenced by the strength of convection in the film. |
| first_indexed | 2025-11-14T20:05:37Z |
| format | Article |
| id | nottingham-47444 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:05:37Z |
| publishDate | 2014 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-474442020-04-29T15:03:14Z https://eprints.nottingham.ac.uk/47444/ A depth-averaged model for non-isothermal thin-film rimming flow Kay, E.D. Hibberd, Stephen Power, H. A model for non-isothermal shear-driven thin-film flow on the inside surface of a stationary circular cylinder is presented. Motivated by an application to film flow in an aero-engine bearing chamber the model extends lubrication theory analysis of thin films to retain the important effects of inertia and heat convection.The accuracy of the depth-averaged temperature model is tested and comparisons illustrate the model is accurate for both conduction- and convection-dominant flows although local inaccuracies are introduced in regions exhibiting sharp changes in boundary temperature when convective effects are strong.Three rimming-flow configurations are considered: uni-directional flow with slowly-varying film height, a solution containing a steep front termed a shock, and a pooling solution where fluid accumulates in a recirculation at the base of the cylinder. The temperature field in the latter two which include recirculation features are greatly influenced by the strength of convection in the film. Elsevier 2014-03-31 Article PeerReviewed Kay, E.D., Hibberd, Stephen and Power, H. (2014) A depth-averaged model for non-isothermal thin-film rimming flow. International Journal of Heat and Mass Transfer, 70 . pp. 1003-1015. ISSN 0017-9310 Depth-averaged; Rimming flow; Non-isothermal; Thin-film https://doi.org/10.1016/j.ijheatmasstransfer.2013.11.040 doi:10.1016/j.ijheatmasstransfer.2013.11.040 doi:10.1016/j.ijheatmasstransfer.2013.11.040 |
| spellingShingle | Depth-averaged; Rimming flow; Non-isothermal; Thin-film Kay, E.D. Hibberd, Stephen Power, H. A depth-averaged model for non-isothermal thin-film rimming flow |
| title | A depth-averaged model for non-isothermal thin-film rimming flow |
| title_full | A depth-averaged model for non-isothermal thin-film rimming flow |
| title_fullStr | A depth-averaged model for non-isothermal thin-film rimming flow |
| title_full_unstemmed | A depth-averaged model for non-isothermal thin-film rimming flow |
| title_short | A depth-averaged model for non-isothermal thin-film rimming flow |
| title_sort | depth-averaged model for non-isothermal thin-film rimming flow |
| topic | Depth-averaged; Rimming flow; Non-isothermal; Thin-film |
| url | https://eprints.nottingham.ac.uk/47444/ https://eprints.nottingham.ac.uk/47444/ https://eprints.nottingham.ac.uk/47444/ |