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

J.M. Reese

Research output: Contribution to conferencePaper

Abstract

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.

Conference

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

Fingerprint

rarefied gases
gas flow
boundary layers
hydrodynamics
data simulation
heat flux
molecular dynamics
continuums
gradients
predictions
simulation

Keywords

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

Cite this

Reese, J. M. (2007). Beyond Navier-Stokes: constructing hydrodynamic models to capture unusual rarefied gas flow phenomena. Paper presented at 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, .
Reese, J.M. / Beyond Navier-Stokes: constructing hydrodynamic models to capture unusual rarefied gas flow phenomena. Paper presented at 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, .
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abstract = "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.",
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author = "J.M. Reese",
year = "2007",
language = "English",
note = "6th International Congress on Industrial and Applied Mathematics ; Conference date: 01-07-2007",

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Reese, JM 2007, 'Beyond Navier-Stokes: constructing hydrodynamic models to capture unusual rarefied gas flow phenomena' Paper presented at 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, 1/07/07, .

Beyond Navier-Stokes: constructing hydrodynamic models to capture unusual rarefied gas flow phenomena. / Reese, J.M.

2007. Paper presented at 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, .

Research output: Contribution to conferencePaper

TY - CONF

T1 - Beyond Navier-Stokes: constructing hydrodynamic models to capture unusual rarefied gas flow phenomena

AU - Reese, J.M.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - hydrodynamics

KW - knudsen layer

KW - navier-stokes

KW - solids

KW - composites

KW - fluid dynamics

UR - http://www.iciam07.ch/index

UR - http://www.ems-ph.org/

M3 - Paper

ER -

Reese JM. Beyond Navier-Stokes: constructing hydrodynamic models to capture unusual rarefied gas flow phenomena. 2007. Paper presented at 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, .