Thermodynamic Theory of Incompressible Hydrodynamics

Details Thermodynamic Theory of Incompressible Hydrodynamics Thermodynamic Theory of Incompressible Hydrodynamics

2004-05-24

arxiv.org/abs/cond-mat/0405555v3

Phys. Rev. Lett. 94, 080602 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, final version, accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.94.080602

The grand potential for open systems describes thermodynamics of fluid flows at low Mach numbers. A new system of reduced equations for the grand potential and the fluid momentum is derived from the compressible Navier-Stokes equations. The incompressible Navier-Stokes equations are the quasi-stationary solution to the new system. It is argued that the grand canonical ensemble is the unifying concept for the derivation of models and numerical methods for incompressible fluids, illustrated here with a simulation of a minimal Boltzmann model in a microflow setup.

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