Abstract
We use guiding principles from nonequilibrium thermodynamics to develop an admissible set of 13 moment equations for rarefied gas flows. The main benefits of our thermodynamic approach are an explicit entropy expression fulfilling an theorem and a sound Hamiltonian formulation of the reversible free flight transport. To calculate the entropy and to find explicit closure approximations, we propose a simple set of approximate 13 parameter solutions to Boltzmann’s kinetic equation. We discuss how standard hydrodynamics is recovered as a limiting case.
- Received 22 January 2010
DOI:https://doi.org/10.1103/PhysRevLett.104.120601
©2010 American Physical Society
Synopsis
In thin air
Published 9 April 2010
The principles of nonequilibrium thermodynamics simplify the statistical description of the flow of a rarefied gas.
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