Beyond Navier-Stokes: constructing hydrodynamic models to capture unusual rarefied gas flow phenomena

J.M. Reese

Research output: Contribution to conferencePaperpeer-review


The vast majority of continuum theories for rapid granular flows are based on Navier-Stokes order descriptions (up to first order in spatial gradients). In this effort, a simple system is used to illustrate the presence and impact of higher-order effects in both the Knudsen boundary layer and the domain interior. Specifically, a thermally-driven, zero mean flow system is considered via molecular dynamics (MD) simulations. The Knudsen boundary layer is identified via an abrupt mismatch in the simulation data for heat flux and predictions from Navier-Stokes order theories.
Original languageEnglish
Publication statusPublished - 2007
Event6th International Congress on Industrial and Applied Mathematics - Zurich, Switzerland
Duration: 1 Jul 2007 → …


Conference6th International Congress on Industrial and Applied Mathematics
CityZurich, Switzerland
Period1/07/07 → …


  • hydrodynamics
  • knudsen layer
  • navier-stokes
  • solids
  • composites
  • fluid dynamics

Cite this