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• W2105412150 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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi mathvariant=script>l</mml:mi></mml:mrow></mml:math>when<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi mathvariant=script>l</mml:mi></mml:mrow></mml:math>is large; if the pressure gradient is in a waveform, as the slip parameter<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi mathvariant=script>l</mml:mi></mml:mrow></mml:math>increases, the amplitude of the flow rate increases until approaching a constant value when<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi mathvariant=script>l</mml:mi></mml:mrow></mml:math>becomes sufficiently large." @default.
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• W2105412150 date "2014-01-01" @default.
• W2105412150 modified "2023-09-26" @default.
• W2105412150 title "Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary" @default.
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• W2105412150 doi "https://doi.org/10.1155/2014/530605" @default.
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