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Comparison of Kinetic Theory and Hydrodynamics for Poiseuille Flow

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Abstract

Comparison of particle (DSMC) simulation with the numerical solution of the Navier–Stokes (NS) equations for pressure-driven plane Poiseuille flow is presented and contrasted with that of the acceleration-driven Poiseuille flow. Although for the acceleration-driven case DSMC measurements are qualitatively different from the NS solution at relatively low Knudsen number, the two are in somewhat better agreement for pressure-driven flow.

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Zheng, Y., Garcia, A.L. & Alder, B.J. Comparison of Kinetic Theory and Hydrodynamics for Poiseuille Flow. Journal of Statistical Physics 109, 495–505 (2002). https://doi.org/10.1023/A:1020498111819

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