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

    200229_131311_530605.pdf (2.982Mb)
    Access Status
    Open access
    Authors
    Wiwatanapataphee, B
    Wu, Yong Hong
    Suharsono, S.
    Date
    2014
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Wiwatanapataphee, B. and Wu, Y.H. and Suharsono, S. 2014. Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary. Abstract and Applied Analysis. 2014: Article ID 530605.
    Source Title
    Abstract and Applied Analysis
    DOI
    10.1155/2014/530605
    ISSN
    1085-3375
    School
    Department of Mathematics and Statistics
    Remarks

    This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons License http://creativecommons.org/licenses/by/3.0/ Please refer to the licence to obtain terms for any further reuse or distribution of this work.

    URI
    http://hdl.handle.net/20.500.11937/17064
    Collection
    • Curtin Research Publications
    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.

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