Thermodynamic theory of incompressible hydrodynamics -: art. no. 080602

被引：36

作者：

Ansumali, S ^{[1
]}

Karlin, IV

Öttinger, HC

机构：

[1] ETH, Inst Energy Technol, CH-8092 Zurich, Switzerland

[2] ETH, Inst Polymers, Dept Mat, CH-8093 Zurich, Switzerland

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 94卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.94.080602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4