Real processing IV. The derivation of the Navier–Stokes equation from the principle of minimal deformation

Bernhard Reiser

Physica A: Statistical Mechanics and its Applications, 2001, vol. 291, issue 1, 512-522

Abstract: As a special case of the general principle of minimal entropy production discussed in earlier parts of this series, we relate here the hydrodynamic Navier–Stokes equation including its non-linear term, to the minimisation of ∫∑i(∇vi)2dV, for fixed boundaries. The connection is made explicit for incompressible stationary flow; we shortly consider generalisations to the general pressure tensor, the non-stationary process, compressibility, and the principle of minimal entropy production.

Keywords: Navier–Stokes equation; Principle of Minimal Deformation; Irreversible Thermodynamics; General continuity equation; Convection condition (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:291:y:2001:i:1:p:512-522

DOI: 10.1016/S0378-4371(00)00487-8

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