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Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary

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Listed:
  • Benchawan Wiwatanapataphee
  • Yong Hong Wu
  • Suharsono Suharsono

Abstract

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.

Suggested Citation

  • Benchawan Wiwatanapataphee & Yong Hong Wu & Suharsono Suharsono, 2014. "Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:530605
    DOI: 10.1155/2014/530605
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    References listed on IDEAS

    as
    1. Qian Sun & Yonghong Wu & Lishan Liu & B. Wiwatanapataphee, 2013. "Study of a Newtonian Fluid through Circular Channels with Slip Boundary Taking into Account Electrokinetic Effect," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Qian Sun & Yonghong Wu & Lishan Liu & B. Wiwatanapataphee, 2013. "Study of a Newtonian Fluid through Circular Channels with Slip Boundary Taking into Account Electrokinetic Effect," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, November.
    3. Peter A. Thompson & Sandra M. Troian, 1997. "A general boundary condition for liquid flow at solid surfaces," Nature, Nature, vol. 389(6649), pages 360-362, September.
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