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

Kay, E.D. and 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

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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.

Item Type: Article
Keywords: Depth-averaged; Rimming flow; Non-isothermal; Thin-film
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > School of Mathematical Sciences
University of Nottingham, UK > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1016/j.ijheatmasstransfer.2013.11.040
Depositing User: LIN, Zhiren
Date Deposited: 25 Oct 2017 07:40
Last Modified: 26 Oct 2017 16:02
URI: http://eprints.nottingham.ac.uk/id/eprint/47444

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