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Macroscopic Transport Equations for Rarefied Gas Flows

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The article was published on 2005-01-01. It has received 473 citations till now.

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Higher order moment equations for rarefied gas mixtures

TL;DR: In this article, the boundary conditions for these equations are derived and the fully nonlinear Grad's N26-moment (NG26) equations for a mixture of N monatomic-inert-ideal gases made up of Maxwell molecules are derived.
Journal ArticleDOI

Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an overview

TL;DR: An overview of the literature on modeling heat transport at nanoscale and in far-from-equilibrium processes can be found in this article, where a survey of recent results is presented.
Journal ArticleDOI

Thermodynamically admissible 13 moment equations from the Boltzmann equation.

TL;DR: In this article, a set of approximate 13 parameter solutions to Boltzmann's kinetic equation for rarefied gas flows is proposed. But the main benefits of their thermodynamic approach are an explicit entropy expression fulfilling an H theorem and a sound Hamiltonian formulation of the reversible free flight transport.
Journal ArticleDOI

Macroscopic and kinetic modelling of rarefied polyatomic gases

TL;DR: In this paper, a kinetic model and corresponding high-order macroscopic model for the accurate description of rarefied polyatomic gas flows are introduced, which is an extension of the S-model, predicts correct relaxation of higher moments and delivers the accurate Prandtl number.
Journal ArticleDOI

Analytical solution of plane Poiseuille flow within Burnett hydrodynamics

TL;DR: In this article, an analytical solution to the augmented Burnett equation is proposed, which is shown to satisfy the full set of augmented Burnett equations up to Kn of 2.2 with an error of 1.2.