Compressible Navier-Stokes limit of binary mixture of gas particles

Hi Jun Choe, Shulin Zhou

Research output: Contribution to journalArticle

Abstract

In this paper we study the compressible Navier-Stokes limit of binary mixture of gas particles in which a species is dense and the other is sparse. Their collisions are decided by Grad's hard potentials. When the Knudsen number of dense species of the Boltzmann system goes to zero, we show that the hydrodynamic variables satisfy compressible Navier-Stokes type equations. It turns out that the macro fluid variables corresponding to the dense species satisfy the standard compressible Navier-Stokes equations. But the fluid equations for sparse species contain influence terms of dense species. Like single species gas, we employed Enskog-Chapman and moment methods up to the first order.

Original languageEnglish
Pages (from-to)231-244
Number of pages14
JournalAnalysis
Volume35
Issue number4
DOIs
Publication statusPublished - 2015 Jan 1

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Binary Mixtures
Binary mixtures
Navier-Stokes
Fluids
Method of moments
Gases
Navier Stokes equations
Macros
Hydrodynamics
Fluid
Knudsen number
Moment Method
Compressible Navier-Stokes Equations
Ludwig Boltzmann
Gas
Collision
First-order
Zero
Term

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Applied Mathematics

Cite this

Choe, Hi Jun ; Zhou, Shulin. / Compressible Navier-Stokes limit of binary mixture of gas particles. In: Analysis. 2015 ; Vol. 35, No. 4. pp. 231-244.
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Compressible Navier-Stokes limit of binary mixture of gas particles. / Choe, Hi Jun; Zhou, Shulin.

In: Analysis, Vol. 35, No. 4, 01.01.2015, p. 231-244.

Research output: Contribution to journalArticle

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