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Article type: Research Article
Authors: Nicolescu, Bogdan N.; | Petrescu, Tudor C.
Affiliations: Department of Mathematics, University of Pitesti, Pitesti, Romania. E-mails: {nicolescubogdan81, ronnytudor}@yahoo.com
Note: [] Corresponding author: Bogdan N. Nicolescu, Department of Mathematics, University of Pitesti, Târgu din Vale, nr. 1, Piteşti, Argeş, România, 110040. E-mail: [email protected]
Abstract: In this paper we obtain the Reynolds equation for the case of a Newtonian incompressible fluid with a stationary isothermal motion in a tribological system of radial face seals when one of the contact surfaces (the rotor) has an oscillatory motion around its equilibrium point. Moreover, it is supposed that this surface is rough. We also obtain the homogenized equation whose coefficients are given explicitly. Finally, we present numerical results for the homogenized equation.
Keywords: elliptic equations, homogenization, Reynolds' equations, thin lubricant films, radial face seals
DOI: 10.3233/ASY-2012-1120
Journal: Asymptotic Analysis, vol. 81, no. 1, pp. 35-52, 2013
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