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A depth-averaged model for non-isothermal thin-film rimming flow

Kay, E.D.; Hibberd, Stephen; Power, H.


E.D. Kay

Stephen Hibberd

H. Power


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.


Kay, E., Hibberd, S., & Power, H. (2014). A depth-averaged model for non-isothermal thin-film rimming flow. International Journal of Heat and Mass Transfer, 70,

Journal Article Type Article
Acceptance Date Nov 13, 2013
Online Publication Date Dec 23, 2013
Publication Date Mar 31, 2014
Deposit Date Oct 25, 2017
Journal International Journal of Heat and Mass Transfer
Print ISSN 0017-9310
Electronic ISSN 0017-9310
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 70
Keywords Depth-averaged; Rimming flow; Non-isothermal; Thin-film
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