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

作者：Kay E D; Hibberd S; Power H^*

来源：International Journal of Heat and Mass Transfer, 2014, 70: 1003-1015.

DOI：10.1016/j.ijheatmasstransfer.2013.11.040

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

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.

• 出版日期2014-3
• 单位宁波诺丁汉大学