title: A stochastic two-scale model for pressure-driven flow between rough surfaces.
abstract: Seal surface topography typically consists of global-scale geometric features as well as local-scale roughness details and homogenization-based approaches are, therefore, readily applied. These provide for resolving the global scale (large domain) with a relatively coarse mesh, while resolving the local scale (small domain) in high detail. As the total flow decreases, however, the flow pattern becomes tortuous and this requires a larger local-scale domain to obtain a converged solution. Therefore, a classical homogenization-based approach might not be feasible for simulation of very small flows. In order to study small flows, a model allowing feasibly-sized local domains, for really small flow rates, is developed. Realization was made possible by coupling the two scales with a stochastic element. Results from numerical experiments, show that the present model is in better agreement with the direct deterministic one than the conventional homogenization type of model, both quantitatively in terms of flow rate and qualitatively in reflecting the flow pattern.
authors.affiliation: Division of Machine Elements , Luleå University of Technology , Luleå, Sweden.
authors.forename: Francesc
authors.identifier: 0000-0002-3556-328X
authors.initials: F
authors.lastname: Pérez-Ràfols
authors.affiliation: Division of Machine Elements , Luleå University of Technology , Luleå, Sweden.
authors.forename: Roland
authors.initials: R
authors.lastname: Larsson
authors.affiliation: Division of Fluid and Experimental Mechanics , Luleå University of Technology , Luleå, Sweden.
authors.forename: Staffan
authors.initials: S
authors.lastname: Lundström
authors.affiliation: Division of Mathematical Sciences , Luleå University of Technology , Luleå, Sweden.
authors.forename: Peter
authors.initials: P
authors.lastname: Wall
authors.affiliation: Division of Machine Elements , Luleå University of Technology , Luleå, Sweden.
authors.forename: Andreas
authors.initials: A
authors.lastname: Almqvist
keywords: Reynolds equation; contact mechanics; seals; stochastic; two scales