Boundary conditions for regularized 13-moment-equations for micro-channel-flows
نویسندگان
چکیده
منابع مشابه
Boundary conditions for regularized 13-moment-equations for micro-channel-flows
Boundary conditions are the major obstacle in simulations based on advanced continuum models of rarefied and micro-flows of gases. In this paper we present a theory how to combine the regularized 13-moment-equations derived from Boltzmann’s equation with boundary conditions obtained from Maxwell’s kinetic accommodation model. While for the linear case these kinetic boundary conditions suffice, ...
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A complete set of boundary conditions for Grad’s 13 moment equations is derived from Maxwell’s boundary conditions for the Boltzmann equation. The equations are solved for plane Couette flow. The results exhibit temperature jump and slip, and agree well with DSMC calculations for Knudsen numbers Kn ≤ 0.1. Nonlinear effects lead to unphysical results at larger Knudsen numbers, and for very fast ...
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The challenge of modeling low-speed rarefied gas flow in the transition regime is well known. In this paper, we propose a numerical solution procedure for the regularized 13 moment equations within a finite-volume framework. The stress and heat flux equations arising in the method of moments are transformed into the governing equations for the stress and heat flux deviators based on their first...
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We summarize our recent contributions to the development of macroscopic transport equations for rarefied gas flows. A combination of the ChapmanEnskog expansion and Grad’s moment method, termed as the order of magnitude method, yields the regularized 13 moment equations (R13 equations) which are of super-Burnett order. A complete set of boundary conditions is derived from the boundary condition...
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An H theorem for the linearized Grad 13 moment equations leads to regularizing constitutive equations for higher fluxes and to a complete set of boundary conditions. Solutions for Couette and Poiseuille flows show good agreement with direct simulation Monte Carlo calculations. The Knudsen minimum for the relative mass flow rate is reproduced.
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2008
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2007.10.006