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

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

Research output: Journal PublicationArticlepeer-review

26 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1003-1015
JournalInternational Journal of Heat and Mass Transfer
Volume70
Early online date23 Dec 2013
DOIs
Publication statusPublished - 31 Mar 2014

Keywords

  • Depth-averaged
  • Non-isothermal
  • Rimming flow
  • Thin-film

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