An Enhanced Stochastic Two-Scale Model for Metal-to-Metal Seals
Leakage in static metal-to-metal seals is predominantly determined by the topography of the contacting surfaces. The topography consists of features that span the entire range from its carefully engineered geometry down to micro-sized surface asperities. The mesh density necessary to fully resolve a...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-10-01
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| Series: | Lubricants |
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| Online Access: | http://www.mdpi.com/2075-4442/6/4/87 |
| _version_ | 1818037004745572352 |
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| author | Francesc Pérez-Ràfols Andreas Almqvist |
| author_facet | Francesc Pérez-Ràfols Andreas Almqvist |
| author_sort | Francesc Pérez-Ràfols |
| collection | DOAJ |
| description | Leakage in static metal-to-metal seals is predominantly determined by the topography of the contacting surfaces. The topography consists of features that span the entire range from its carefully engineered geometry down to micro-sized surface asperities. The mesh density necessary to fully resolve all the features, in this large span of length scales, generates too many degrees of freedom for a direct numerical approach to be applicable. Some kind of sophistication, either incorporated in the mathematical model or in the numerical solution procedure or even a combination of both is therefore required. For instance, in a two-scale model, the geometrical features can be addressed in the global-scale model, while the features belonging to length scales smaller than a given cut-off value are addressed in the local-scale model. However, the classical two-scale approaches do not explicitly address the stochastic nature of the surfaces, and this has turned out to be a requirement in order to obtain quantitative predictions of leakage in metal-to-metal seals. In this work, we present a continued development of an already existing two-scale model, which incorporates a stochastic element. The novelty lies in the way we characterise the permeability at the local scale and how this is used to build a more efficient and useful approach. |
| first_indexed | 2024-12-10T07:19:57Z |
| format | Article |
| id | doaj.art-1e3ca5e7d9b84cce86ae36cb5a8a9986 |
| institution | Directory Open Access Journal |
| issn | 2075-4442 |
| language | English |
| last_indexed | 2024-12-10T07:19:57Z |
| publishDate | 2018-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Lubricants |
| spelling | doaj.art-1e3ca5e7d9b84cce86ae36cb5a8a99862022-12-22T01:57:50ZengMDPI AGLubricants2075-44422018-10-01648710.3390/lubricants6040087lubricants6040087An Enhanced Stochastic Two-Scale Model for Metal-to-Metal SealsFrancesc Pérez-Ràfols0Andreas Almqvist1Machine Elements, Luleå University of Technology, 97187 Luleå, SwedenMachine Elements, Luleå University of Technology, 97187 Luleå, SwedenLeakage in static metal-to-metal seals is predominantly determined by the topography of the contacting surfaces. The topography consists of features that span the entire range from its carefully engineered geometry down to micro-sized surface asperities. The mesh density necessary to fully resolve all the features, in this large span of length scales, generates too many degrees of freedom for a direct numerical approach to be applicable. Some kind of sophistication, either incorporated in the mathematical model or in the numerical solution procedure or even a combination of both is therefore required. For instance, in a two-scale model, the geometrical features can be addressed in the global-scale model, while the features belonging to length scales smaller than a given cut-off value are addressed in the local-scale model. However, the classical two-scale approaches do not explicitly address the stochastic nature of the surfaces, and this has turned out to be a requirement in order to obtain quantitative predictions of leakage in metal-to-metal seals. In this work, we present a continued development of an already existing two-scale model, which incorporates a stochastic element. The novelty lies in the way we characterise the permeability at the local scale and how this is used to build a more efficient and useful approach.http://www.mdpi.com/2075-4442/6/4/87leakagecontact mechanicsreynolds equationtwo-scale modellingstochasticmetal-to-metal seal |
| spellingShingle | Francesc Pérez-Ràfols Andreas Almqvist An Enhanced Stochastic Two-Scale Model for Metal-to-Metal Seals Lubricants leakage contact mechanics reynolds equation two-scale modelling stochastic metal-to-metal seal |
| title | An Enhanced Stochastic Two-Scale Model for Metal-to-Metal Seals |
| title_full | An Enhanced Stochastic Two-Scale Model for Metal-to-Metal Seals |
| title_fullStr | An Enhanced Stochastic Two-Scale Model for Metal-to-Metal Seals |
| title_full_unstemmed | An Enhanced Stochastic Two-Scale Model for Metal-to-Metal Seals |
| title_short | An Enhanced Stochastic Two-Scale Model for Metal-to-Metal Seals |
| title_sort | enhanced stochastic two scale model for metal to metal seals |
| topic | leakage contact mechanics reynolds equation two-scale modelling stochastic metal-to-metal seal |
| url | http://www.mdpi.com/2075-4442/6/4/87 |
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