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Technical Briefs

On the Derivation of Pressure Field Distribution at the Entrance of a Rectangular Capillary

[+] Author and Article Information
Prashant R. Waghmare

Department of Mechanical Engineering, Micro and Nano-Scale Transport Laboratory, University of Alberta, Edmonton, AB, T6G 2G8, Canada

Sushanta K. Mitra

Department of Mechanical Engineering, Micro and Nano-Scale Transport Laboratory, University of Alberta, Edmonton, AB, T6G 2G8, Canadasushanta.mitra@ualberta.ca

J. Fluids Eng 132(5), 054502 (May 13, 2010) (4 pages) doi:10.1115/1.4001641 History: Received March 12, 2010; Revised April 15, 2010; Published May 13, 2010; Online May 13, 2010

In capillary flow, integral momentum approach is used to derive the governing equation, which requires an expression for the pressure field at the inlet of the capillary. Generally, the pressure field for circular capillary is deduced with hemispherical control volume. This expression has been extended for other noncircular capillaries with an equivalent radius approximation. In case of high aspect ratio channels, the semicylindrical control volume needs to be considered. In the present study, the correct expression for the entrance pressure field for high aspect ratio capillaries is derived with such appropriate control volume.

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Copyright © 2010 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Schematic of the capillary flow between parallel plates with the semicylindrical control volume. Arrows indicating the direction of fluid flow into the capillary.

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