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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.. 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 (5). 053103. 10.1063/1.4718653

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Abstract/Summary

Motivated by applications in aero-engines, steady two-dimensional thin-film flow on the inside of a circular cylinder is studied when the film surface 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 film surface 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.

Item Type: Publication - Article
Digital Object Identifier (DOI): 10.1063/1.4718653
Programmes: NOC Programmes
Additional Keywords: aerospace engines; confined flow; drops; film flow; flow simulation; jets; lubrication; mass transfer; numerical analysis; oils; two-phase flow
Date made live: 16 Jul 2012 14:24
URI: http://nora.nerc.ac.uk/id/eprint/18688

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