On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder
Motivated by applications in aero-engines, steady two-dimensional thin-filmflow on the inside of a circular cylinder is studied when the filmsurface is subject to mass and momentum transfer from impacting droplets. Asymptotic analysis is used systematically to identify distinguished limits that inco...
| Main Authors: | , , , |
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| Format: | Article |
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American Institute of Physics
2012
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| Online Access: | https://eprints.nottingham.ac.uk/2597/ |
| _version_ | 1848790826451206144 |
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| author | Williams, J. Hibberd, S. Power, H. Riley, D. S. |
| author_facet | Williams, J. Hibberd, S. Power, H. Riley, D. S. |
| author_sort | Williams, J. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Motivated by applications in aero-engines, steady two-dimensional thin-filmflow on the inside of a circular cylinder is studied when the filmsurface is subject to mass and momentum transfer from impacting droplets. Asymptotic analysis is used systematically to identify distinguished limits that incorporate these transfer effects at leading order and to provide a new mathematical model. Applying both analytical and numerical approaches to the model, a set of stable steady, two-dimensional solutions that fit within the rational framework is determined. A number of these solutions feature steep fronts and associated recirculating pools, which are undesirable in an aeroengine since oil may be stripped away from the steep fronts when there is a core flow external to the film, and recirculation may lead to oil degradation. The model, however, provides a means of investigating whether the formation of the steep fronts on the filmsurface and of internal recirculation pools can be delayed, or inhibited altogether, by designing jets to deliver prescribed distributions of oil droplets or by the judicious siting of oil sinks. Moreover, by studying pathlines, oil-residence times can be predicted and systems optimized. |
| first_indexed | 2025-11-14T18:18:47Z |
| format | Article |
| id | nottingham-2597 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:18:47Z |
| publishDate | 2012 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-25972020-05-04T20:22:57Z https://eprints.nottingham.ac.uk/2597/ On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder Williams, J. Hibberd, S. Power, H. Riley, D. S. Motivated by applications in aero-engines, steady two-dimensional thin-filmflow on the inside of a circular cylinder is studied when the filmsurface is subject to mass and momentum transfer from impacting droplets. Asymptotic analysis is used systematically to identify distinguished limits that incorporate these transfer effects at leading order and to provide a new mathematical model. Applying both analytical and numerical approaches to the model, a set of stable steady, two-dimensional solutions that fit within the rational framework is determined. A number of these solutions feature steep fronts and associated recirculating pools, which are undesirable in an aeroengine since oil may be stripped away from the steep fronts when there is a core flow external to the film, and recirculation may lead to oil degradation. The model, however, provides a means of investigating whether the formation of the steep fronts on the filmsurface and of internal recirculation pools can be delayed, or inhibited altogether, by designing jets to deliver prescribed distributions of oil droplets or by the judicious siting of oil sinks. Moreover, by studying pathlines, oil-residence times can be predicted and systems optimized. American Institute of Physics 2012 Article PeerReviewed Williams, J., Hibberd, S., Power, H. and Riley, D. S. (2012) On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder. Physics of Fluids, 24 . 053103/1-053103/27. ISSN 1070-6631 http://scitation.aip.org/content/aip/journal/pof2/24/5/10.1063/1.4718653 doi:10.1063/1.4718653 doi:10.1063/1.4718653 |
| spellingShingle | Williams, J. Hibberd, S. Power, H. Riley, D. S. On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder |
| title | On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder |
| title_full | On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder |
| title_fullStr | On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder |
| title_full_unstemmed | On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder |
| title_short | On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder |
| title_sort | on the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder |
| url | https://eprints.nottingham.ac.uk/2597/ https://eprints.nottingham.ac.uk/2597/ https://eprints.nottingham.ac.uk/2597/ |