A microchannel with topographical texture on one or more of its walls is often employed to achieve objectives such as mixing, pumping and bio-molecular detection in microfluidics. Flow through a microchannel with sinusoidal ridges on one of its walls, when the ridges are oriented in the direction of flow, is studied. The classical infinitely-slow-variation or lubrication analysis is extended through a systematic scaling and perturbation procedure for applicability to moderately slow variations. Finite element simulations are used to assess the relative strengths and weaknesses of moderately and infinitely slow-variation theories as well as a small-amplitude theory from the literature based on the domain perturbation technique. Depending on the wavelength of patterning, the hydraulic permeability can either decrease or increase with pattern amplitude with a transitional behavior from an initial decrease to subsequent increase is observed at certain wavelengths.
- Fluids Engineering Division
Flow Through Microchannels With Textured Walls: A Theory for Moderately Slow Variations
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Dewangan, MK, & Datta, S. "Flow Through Microchannels With Textured Walls: A Theory for Moderately Slow Variations." Proceedings of the ASME 2018 16th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2018 16th International Conference on Nanochannels, Microchannels, and Minichannels. Dubrovnik, Croatia. June 10–13, 2018. V001T06A001. ASME. https://doi.org/10.1115/ICNMM2018-7607
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