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

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

Abstract

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.

Citation

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, https://doi.org/10.1016/j.ijheatmasstransfer.2013.11.040

• 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
• DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2013.11.040
• Keywords: Depth-averaged; Rimming flow; Non-isothermal; Thin-film
• Public URL: https://nottingham-repository.worktribe.com/output/724013
• Publisher URL: https://doi.org/10.1016/j.ijheatmasstransfer.2013.11.040
• Contract Date: Oct 25, 2017