A depth-averaged model for non-isothermal thin-film rimming flowTools Kay, E.D., 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 Full text not available from this repository.
Official URL: https://doi.org/10.1016/j.ijheatmasstransfer.2013.11.040
AbstractA 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.
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