Effects of Volume Diffusion in Heat Transfer in a Cavity Flow in Non-Continuum Regime

Chariton Christou, Kokou Sename Enyonam Dadzie

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)
44 Downloads (Pure)

Abstract

Volume diffusion (or bi-velocity) continuum model offers an alternative modification to the standard Navier-Stokes-Fourier for simulating rarefied gas flows. According to this continuum model, at higher Knudsen numbers the contribution of molecular spatial stochasticity increases. In this paper, we study a micro-cavity heat transfer problem as it provides an excellent test for new continuum flow equations. Simulations are carried out for Knudsen numbers within the slip and higher transition flow regimes where non-local-equilibrium and rarefaction effects dominate. We contrast predictions by a Navier-Stokes-Fourier model corrected by volume diffusion flux in its constitutive equations to that of the Direct Simulation Monte Carlo method and the standard Navier-Stokes-Fourier model. The results show improvement in the Navier-Stokes-Fourier prediction for the high Knudsen numbers. The new model exhibits proper Knudsen boundary layers in the temperature and velocity fields.
Original languageEnglish
Title of host publication30th International Symposium on Rarefied Gas Dynamics
PublisherAIP Publishing
ISBN (Electronic)9780735414488
DOIs
Publication statusPublished - 15 Nov 2016
Event30th International Symposium on Rarefied Gas Dynamics 2016 - Victoria, Canada
Duration: 10 Jul 201615 Jul 2016

Publication series

NameAIP Conference Proceedings
PublisherAIP Publishing
Number1
Volume1786
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference30th International Symposium on Rarefied Gas Dynamics 2016
CountryCanada
CityVictoria
Period10/07/1615/07/16

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    Christou, C., & Dadzie, K. S. E. (2016). Effects of Volume Diffusion in Heat Transfer in a Cavity Flow in Non-Continuum Regime. In 30th International Symposium on Rarefied Gas Dynamics [080005] (AIP Conference Proceedings; Vol. 1786, No. 1). AIP Publishing. https://doi.org/10.1063/1.4967598