Breakdown parameter for kinetic modeling of multiscale gas flows

Meng, J and Dongari, Nishanth and Reese, J M and Zhang, Y (2014) Breakdown parameter for kinetic modeling of multiscale gas flows. Physical Review E, 89 (6). 063305-1. ISSN 1539-3755

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Abstract

Multiscale methods built purely on the kinetic theory of gases provide information about the molecular velocity distribution function. It is therefore both important and feasible to establish new breakdown parameters for assessing the appropriateness of a fluid description at the continuum level by utilizing kinetic information rather than macroscopic flow quantities alone. We propose a new kinetic criterion to indirectly assess the errors introduced by a continuum-level description of the gas flow. The analysis, which includes numerical demonstrations, focuses on the validity of the Navier-Stokes-Fourier equations and corresponding kinetic models and reveals that the new criterion can consistently indicate the validity of continuum-level modeling in both low-speed and high-speed flows at different Knudsen numbers.

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IITH Creators:

IITH Creators	ORCiD
Dongari, Nishanth	UNSPECIFIED

Item Type:

Article

Uncontrolled Keywords:

Flow of gases; Kinetic theory of gases; Navier Stokes equations Continuum level; Fluid description; High speed flows; Kinetic information; Kinetic modeling; Macroscopic flow; Molecular velocity; Multiscale method

Subjects:

Physics > Mechanical and aerospace

Divisions:

Department of Physics

Depositing User:

Team Library

Date Deposited:

09 Dec 2014 04:07

Last Modified:

01 Sep 2017 11:04

URI:

http://raiithold.iith.ac.in/id/eprint/1091