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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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Dynamic Maximum Entropy Reduction

TL;DR: This work proposes a method called Dynamic MaxEnt (DynMaxEnt) that provides a passage from the more detailed evolution equations to equations for the less detailed state variables, based on explicit recognition of the state and conjugate variables, which can relax towards the respective quasi-equilibria in different ways.
Journal ArticleDOI

Onsager's-principle-consistent 13-moment transport equations.

TL;DR: A new set of generalized transport equations is derived for higher-order moments which are generated in evolution equation for stress tensor and heat flux vector in 13-moment equations for gas modeled as Maxwellian molecule.
Journal ArticleDOI

Bi-velocity hydrodynamics. Multicomponent fluids

TL;DR: In this article, a bi-velocity theory for both single and multicomponent fluids is shown to predict the existence of mechanodiffusion phenomena, the latter referring to coupling arising between diffuse momentum transport (embodied in the fluid's viscous stress tensor) and species or energy diffusion stemming respectively from gradients in species concentration and temperature.
Journal ArticleDOI

Dense gas flow simulations in ultra-tight confinement

TL;DR: In this paper, a verification study of the Enskog equation by using particle simulation methods based on the same hard-sphere collisions dynamics was performed, and the results showed that very good agreement between EDMD, PHS-MD, and enskog solutions across density, velocity and temperature profiles for all the simulation conditions and numerical evidence that deviations exist in the normalized mass flow rate vs Knudsen number curve compared to the standard curve without confinement.
Journal ArticleDOI

On Stable Wall Boundary Conditions for the Hermite Discretization of the Linearised Boltzmann Equation

TL;DR: In this article, the authors define certain criteria, using the characteristic decomposition of the boundary conditions and energy estimates, which a set of stable boundary conditions for a linear initial boundary value problem, involving a symmetric hyperbolic system, must satisfy.