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We use guiding principles from nonequilibrium thermodynamics to develop anadmissible set of 13 moment equations for rarefied gas flows. The main benefitsof our thermodynamic approach are an explicit entropy expression fulfilling an$H$ theorem and a sound Hamiltonian formulation of the reversible free flighttransport. To calculate the entropy and to find explicit closureapproximations, we propose a simple set of approximate 13 parameter solutionsto Boltzmann's kinetic equation. We discuss how standard hydrodynamics isrecovered as a limiting case.

Entropic 13 Moment Equations from Boltzmann's Kinetic Equation