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https://hdl.handle.net/2440/63867
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DC Field | Value | Language |
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dc.contributor.author | Matthews, M. | - |
dc.contributor.author | Hill, J. | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Microfluidics and Nanofluidics, 2009; 6(5):611-619 | - |
dc.identifier.issn | 1613-4982 | - |
dc.identifier.issn | 1613-4990 | - |
dc.identifier.uri | http://hdl.handle.net/2440/63867 | - |
dc.description.abstract | It is now well established that for fluid flow at the micro- and nano-scales the standard no-slip boundary condition of fluid mechanics at fluid–solid interfaces is not applicable and must be replaced by a boundary condition that allows some degree of tangential fluid slip. Although molecular dynamics studies support this notion, an experimental verification of a slip boundary condition remains lacking, primarily due to the difficulty of performing accurate experimental observations at small scales. In this article, three simple fluid problems are studied in detail, namely a fluid near a solid wall that is suddenly set in motion (Stokes’ first problem), the long-time behavior of a fluid near an oscillating solid wall (Stokes’ second problem), and the long-time behavior of a fluid between two parallel walls one of which is oscillating (oscillatory Couette flow). The no-slip boundary condition is replaced with the Navier boundary condition, which allows a certain degree of tangential fluid slip via a constant slip length. The aim is to obtain analytical expressions, which may be used in an experimental determination of the constant slip length for any fluid–solid combination. | - |
dc.description.statementofresponsibility | Miccal T. Matthews, James M. Hill | - |
dc.language.iso | en | - |
dc.publisher | Springer | - |
dc.rights | © Springer-Verlag 2008 | - |
dc.source.uri | http://dx.doi.org/10.1007/s10404-008-0338-9 | - |
dc.subject | Microfluidics and nanofluidics | - |
dc.subject | Navier boundary condition | - |
dc.subject | Experimental determination of slip lengths | - |
dc.title | On three simple experiments to determine slip lengths | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1007/s10404-008-0338-9 | - |
pubs.publication-status | Published | - |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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