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Fluid dynamics of the slip boundary condition for isothermal rimming flow with moderate inertial effects
Univ Nottingham, Dept Mech Mat & Mfg Engn, Nottingham NG7 2RD, England..
Univ Nottingham, Dept Mech Mat & Mfg Engn, Nottingham NG7 2RD, England..
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0003-4317-1726
Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England..
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2019 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 31, no 3, article id 033602Article in journal (Refereed) Published
Abstract [en]

Motivated by evaluating coating oil films within bearing chambers in an aero-engine application, an analysis is presented for the fluid dynamics relevant in their dual capacity as both the coolant and lubricant in highly sheared flows that may approach microscale thickness. An extended model is developed for isothermal rimming flow driven by substantial surface shear within a stationary cylinder. In particular, a partial slip condition replaces the no-slip condition at the wall whilst retaining inertial effects relevant to an intrinsic high speed operation. A depth-averaged formulation is presented that includes appropriate inertial effects at leading-order within a thin film approximation that encompasses a more general model of assessing the impact of surface slip. Non-dimensional mass and momentum equations are integrated across the film depth yielding a one dimensional problem with the a priori assumption of local velocity profiles. The film flow solutions for rimming flow with wall slip are modeled to a higher order than classical lubrication theory. We investigate the impact of wall slip on the transition from pooling to uniform films. Numerical solutions of film profiles are provided for the progressively increased Reynolds number, within a moderate inertia regime, offering evaluation into the effect of film slippage on the dynamics of rimming flow. We find that slip allows non-unique solution regions and existence of multiple possible steady state solutions evaluated in transforming from smooth to pooling film solutions. Additionally, boundary slip is shown to enhance the development of recirculation regions within the film which are detrimental to bearing chamber flows. 

Place, publisher, year, edition, pages
AMER INST PHYSICS , 2019. Vol. 31, no 3, article id 033602
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Mechanical Engineering
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URN: urn:nbn:se:kth:diva-249817DOI: 10.1063/1.5085497ISI: 000462915800027Scopus ID: 2-s2.0-85063692211OAI: oai:DiVA.org:kth-249817DiVA, id: diva2:1306240
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QC 20190423

Available from: 2019-04-23 Created: 2019-04-23 Last updated: 2019-04-23Bibliographically approved

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Tammisola, Outi

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