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Thermodynamic theory of incompressible hydrodynamics

Thermodynamic theory of incompressible hydrodynamics
Thermodynamic theory of incompressible hydrodynamics
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 quasistationary 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
0031-9007
80602
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c
Ansumali, S.
419cb861-d1f8-4532-a1ab-2b56135391b5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c

Ansumali, S., Karlin, I.V. and Ottinger, H.C. (2005) Thermodynamic theory of incompressible hydrodynamics. Physical Review Letters, 94 (8), 80602. (doi:10.1103/PhysRevLett.94.080602).

Record type: Article

Abstract

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 quasistationary 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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Published date: March 2005

Identifiers

Local EPrints ID: 49212
URI: http://eprints.soton.ac.uk/id/eprint/49212
ISSN: 0031-9007
PURE UUID: 4ff0200e-85d2-4553-9476-da422177e121

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Date deposited: 24 Oct 2007
Last modified: 13 Mar 2019 20:54

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