Spontaneous capillary flows in piecewise varying cross section microchannels

The study of the dynamics of capillary wetting has started in the 1920s with the studies of Lucas, Washburn, and Rideal. The LWR law states a square root dependency with time for the penetration distance. This property was shown to be valid for arbitrary, uniform cross section microchannels. However...

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Bibliographic Details
Published in:Sensors and actuators. B, Chemical Chemical, 2016-02, Vol.223, p.868-877
Main Authors: Berthier, Jean, Gosselin, David, Pham, Andrew, Boizot, François, Delapierre, Guillaume, Belgacem, Naceur, Chaussy, Didier
Format: Article
Language:English
Subjects:
Capillarity
Capillary wetting
Channels
Cross sections
Dynamic tests
Dynamics
Interface tracking
Lucas–Washburn–Rideal (LWR) law
Mathematical models
Microchannels
Spontaneous capillary flow (SCF)
Wetting
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Summary:The study of the dynamics of capillary wetting has started in the 1920s with the studies of Lucas, Washburn, and Rideal. The LWR law states a square root dependency with time for the penetration distance. This property was shown to be valid for arbitrary, uniform cross section microchannels. However, the dynamics of capillary wetting in non-uniform cross section channels is still a subject of investigation. In this work an analytical model for piecewise varying cross section channels is developed. It is shown that the model compares favorably to experiments. Moreover the results are also in agreement with a former numerical approach.
ISSN:0925-4005
1873-3077
DOI:10.1016/j.snb.2015.10.023