Effects of rarefaction on cavity flow in the slip regime

Simon Mizzi, David R. Emerson, Stefan K. Stefanov, Robert W. Barber, Jason M. Reese

Research output: Contribution to journalArticle

30 Citations (Scopus)
69 Downloads (Pure)

Abstract

The Navier-Stokes-Fourier equations, with boundary conditions that account for the effects of velocity-slip and temperature-jump, are compared to the direct simulation Monte Carlo method for the case of a lid-driven micro-cavity. Results are presented for Knudsen numbers within the slip-flow regime where the onset of nonequilibrium effects are usually observed. Good agreement is found in predicting the general features of the velocity field and the recirculating flow. However, although the steady-state pressure distributions along the walls of the driven cavity are generally in good agreement with the Monte Carlo data, there is some indication that the results are starting to show noticeable differences, particularly at the separation and reattachment points. The modified Navier-Stokes-Fourier equations consistently overpredict the maximum and minimum pressure values throughout the slip regime. This highlights the need for alternative boundary formulations or modeling techniques that can provide accurate and computationally economic solutions over a wider range of Knudsen numbers.
Original languageEnglish
Pages (from-to)817-822
Number of pages6
JournalJournal of Computational and Theoretical Nanoscience
Volume4
Issue number4
DOIs
Publication statusPublished - 2007

Keywords

  • microfluidics
  • cavity flow
  • knudsen layer
  • slip regime

Fingerprint Dive into the research topics of 'Effects of rarefaction on cavity flow in the slip regime'. Together they form a unique fingerprint.

Cite this