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Persistent URL http://purl.org/net/epubs/work/34690
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Record Id 34690
Title A critical review of the drag force on a sphere in the transition flow regime
Abstract Improvements in micro-fabrication techniques are enabling Micro-Electro-Mechanical-Systems to be constructed with sub-micron feature sizes. At this scale, even at standard atmospheric conditions, the flow is in the transition regime. This paper considers the range 0.1 < Kn < 1, where non-equilibrium effects can be appreciable, and specifically illustrates problems involving non-planar surfaces by analyzing the drag force for low speed, incompressible flow past an unconfined microsphere. A critical comparison is made between experimental data, analytical solutions derived from kinetic theory, Grad's thirteen-moment equations, and the Navier-Stokes equations with first- and second-order treatment of the slip boundary. The results, even for this simple geometry, highlight major problems in predicting the drag in the transition flow regime for non-kinetic schemes.
Organisation CCLRC , CSE , CSE-CEG
Keywords gas , slip correction measurements , microchannels , motion , particles
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Language English (EN)
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Journal Article AIP Conf Proc 762, no. 1 (2005): 743-748. Is in proceedings of: 24th International Symposium on Rarefied Gas Dynamics (RGD 24), Monopoli, Italy, 10-16 Jul 2004. doi:10.1063/1.1941624 2005