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

Reese, J.M. (2007) Beyond Navier-Stokes: constructing hydrodynamic models to capture unusual rarefied gas flow phenomena. In: 6th International Congress on Industrial and Applied Mathematics, 2007-07-01.

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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.