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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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Predicting microscale gas flows and rarefaction effects through extended Navier–Stokes–Fourier equations from phoretic transport considerations

TL;DR: In this paper, an extended continuum-based approach for analyzing micro-scale gas flows over a wide range of Knudsen number and Mach number was proposed, which implicitly takes care of the complexities in the flow physics in a thermo-physically consistent sense.
Journal ArticleDOI

A new iterative wall heat flux specifying technique in DSMC for heating/cooling simulations of MEMS/NEMS

TL;DR: In this paper, the authors proposed an iterative technique to impose a desired (positive/negative) wall heat flux boundary condition in the DSMC method that can be useful for simulation of Micro/Nano electro-mechanical systems (MEMS/NEMS) with given heat energy exchange.
Journal ArticleDOI

Bi-velocity hydrodynamics

TL;DR: Theoretical evidence derived from linear irreversible thermodynamics (LIT) jointly with Burnett's solution of Boltzmann's gas-kinetic equation is used to show that fluid mechanics and transport processes in both gaseous and liquid continua require the use of two independent velocities rather than one in order to correctly quantify the physics of fluid motion as mentioned in this paper.
Journal ArticleDOI

An efficient particle Fokker-Planck algorithm for rarefied gas flows

TL;DR: In the present study, different computational improvements were persuaded in order to augment the Fokker-Planck kinetic model, including an accurate time integration scheme, local time stepping and noise reduction, which give rise to very efficient yet accurate solution algorithms.
Journal ArticleDOI

Towards realizable hyperbolic moment closures for viscous heat-conducting gas flows based on a maximum-entropy distribution

TL;DR: In this article, a review of the theory surrounding maximum-entropy moment closures is presented, at least for a simplified one-dimensional gas, and the numerical results described provide significant motivations for the extension of these ideas to the fully threedimensional case.