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Comparison of Kinetic Theory and Hydrodynamics for Poiseuille Flow
Authors:Yihao Zheng  Alejandro L. Garcia  Berni J. Alder
Affiliation:(1) Department of Applied Science, University of California, Davis, California, 95616;(2) Department of Physics, San Jose State University, San Jose, California, 95192;(3) Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, California, 94551
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.
Keywords:Kinetic theory  Boltzmann equation  Poiseuille flow  direct simulation Monte Carlo
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