Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

On The Lubrication of a Rotating Shaft with Incompressible Micropolar Fluid
Marušić – Paloka E., Pažanin I., Radulović M.
Abstract:
In this work, we investigate the lubrication process of a slipper bearing. The slipper bearing consists of two coaxial cylinders in relative motion, where an incompressible micropolar fluid (lubricant) is injected in a thin gap between them. We compute the asymptotic approximation of the solution to the governing micropolar system as a power series in terms of the small parameter ε representing the thickness of the shaft. The proposed approximation is given in the explicit form, allowing us to clearly observe the effects of the micropolar nature of the fluid.
Keywords:
lubrication process, rotating shaft, micropolar uid, asymptotic approximation

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2020.021

In Proceedings Topical Problems of Fluid Mechanics 2020, Prague, 2020 Edited by David Šimurda and Tomáš Bodnár, pp. 160-167 ISBN 978-80-87012-74-1 (Print) ISSN 2336-5781 (Print)