Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/63867
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | On three simple experiments to determine slip lengths |
Author: | Matthews, M. Hill, J. |
Citation: | Microfluidics and Nanofluidics, 2009; 6(5):611-619 |
Publisher: | Springer |
Issue Date: | 2009 |
ISSN: | 1613-4982 1613-4990 |
Statement of Responsibility: | Miccal T. Matthews, James M. Hill |
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. |
Keywords: | Microfluidics and nanofluidics Navier boundary condition Experimental determination of slip lengths |
Rights: | © Springer-Verlag 2008 |
DOI: | 10.1007/s10404-008-0338-9 |
Published version: | http://dx.doi.org/10.1007/s10404-008-0338-9 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.