18 August 2000 Fluid flow modeling of micro-orifices using micropolar fluid theory
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Proceedings Volume 4177, Microfluidic Devices and Systems III; (2000) https://doi.org/10.1117/12.395670
Event: Micromachining and Microfabrication, 2000, Santa Clara, CA, United States
Abstract
Previous research has indicated that micropolar fluid theory may provide a better model of fluid flow in microfluidic devices than classical Navier-Stokes theory. Micropolar theory augments classical Navier-Stokes theory with additional equations that account for conservation of micro- inertia moments. In our work, a two-dimensional numerical model based on micropolar fluid theory is used to examine flow behavior in micro orifices. This particular flow geometry has many application within microfluidic systems and devices such as flow sensors and micro valves. The numerical model is validated by comparison to experimental data and an analytical solution determined for fully developed flow conditions in microchannels. The numerical model was used to examine the effect of orifice geometry on pressure drop and the size of the recirculation region. Simulations were performed for orifice contraction ratios of 0.2, 0.44, and 0.6. The numerical results indicate an increase in the pressure drop when compared to traditional macroscale theory predictions and a decrease in the size of the recirculation zones after the orifice. The results provide further evidence that micropolar fluid theory may provide a better approximation for the observed increases in friction that have been reported in the literature for experiments on microchannel flows.
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Hisham E. Hegab, Guohua Liu, "Fluid flow modeling of micro-orifices using micropolar fluid theory", Proc. SPIE 4177, Microfluidic Devices and Systems III, (18 August 2000); doi: 10.1117/12.395670; https://doi.org/10.1117/12.395670
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