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2014 Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary
Benchawan Wiwatanapataphee, Yong Hong Wu, Suharsono Suharsono
Abstr. Appl. Anal. 2014(SI13): 1-13 (2014). DOI: 10.1155/2014/530605


We study the transient flow of a Newtonian fluid in rectangular microchannels taking into account boundary slip. An exact solution is derived by using the separation of variables in space and Fourier series expansion in time. It is found that, for different forms of driving pressure field, the effect of boundary slip on the flow behavior is qualitatively different. If the pressure gradient is constant, the flow rate is almost linearly proportional to the slip parameter l when l is large; if the pressure gradient is in a waveform, as the slip parameter l increases, the amplitude of the flow rate increases until approaching a constant value when l becomes sufficiently large.


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Benchawan Wiwatanapataphee. Yong Hong Wu. Suharsono Suharsono. "Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary." Abstr. Appl. Anal. 2014 (SI13) 1 - 13, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022563
MathSciNet: MR3230526
Digital Object Identifier: 10.1155/2014/530605

Rights: Copyright © 2014 Hindawi


Vol.2014 • No. SI13 • 2014
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