Isothermal micro-channel gas flow using a hydrodynamic model with dissipative mass flux

Nishanth Dongari, Kokou Sename Enyonam Dadzie, Yonghao Zhang, Jason M. Reese

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

8 Citations (Scopus)
19 Downloads (Pure)

Abstract

In this paper we investigate the problem of isothermal pressure driven gas flow through a channel using a continuum equations set with a mass diffusion correction to the mass-density equation. The additional term is invoked as a way of releasing the local-equilibrium assumption in the presence of strong local gradients. Then the dissipative mass flux is proportional to local density/pressure gradient which is constant in a cross section and results in a correction to the velocity profile. Subsequently, better mass-flow rate predictions are obtained than those obtained using Maxwell-type first order slip boundary conditions. Results indicate that the mass diffusion correction captures the "Knudsen paradox" and change in curvature of the streamwise pressure profile without the need for setting higher order slip boundary conditions.

Original languageEnglish
Title of host publication27th International Symposium on Rarefied Gas Dynamics
PublisherAIP Publishing
Pages718-723
Number of pages6
ISBN (Print)9780735408890
DOIs
Publication statusPublished - 20 May 2011
Event27th International Symposium on Rarefied Gas Dynamics - Pacific Grove, CA, United States
Duration: 10 Jul 201015 Jul 2010

Publication series

NameAIP Conference Proceedings
PublisherAIP Publishing
Number1
Volume1333
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference27th International Symposium on Rarefied Gas Dynamics
Abbreviated titleRGD27
CountryUnited States
CityPacific Grove, CA
Period10/07/1015/07/10

Keywords

  • Knudsen paradox
  • Mass diffusion
  • Microchannel gas flow
  • Pressure distribution
  • Slip flows

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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