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Abstrakty
In general, the existence of entropy imposes restrictions on the constitutive functions in the Navier-Stokes equations. In this paper, it is shown that if the energy per unit mass is a function of the temperature Τ only, then the pressure p is an arbitrary function of the density ρ multiplied by the temperature Τ. However, for many fluids with the properties radically different than ideal gases (the best example here is water) the pressure as a function of ρ and Τ is not of the form p0(ρ)Τ. Therefore the energy density per unit mass in the Navier-Stokes equations for water should depend also on the mass density and the explicit form of this dependence requires further discussion.
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Czasopismo
Rocznik
Tom
Strony
265--271
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland, spiekar@ippt.gov.pl
Bibliografia
- [1] LEBLE S., KU´S MIREK–OCHRYMIUK M., Liquid water. Analytical equation of state and acoustic parameters evaluation., Hydroacoustics, 5/6, p.23, Gdynia 2002/2003.
- [2] KOSIŃSKI W., Field singularities and wave analysis in continuum mechanics, PWN, Warszawa, Ellis Horwood Limited, Chichester 1986.
- [3] WHITHAM G. B., Linear and nonlinear waves, Wiley – Interscience Publication. John Wiley & Sons, New York 1974.
- [4] PERADZYŃSKI Z., Geometry of nonlinear interactions in partial differential equations [in Polish], Habilitation Thesis, IFTR Reports, Warszawa 1981.
- [5] PIEKARSKI S., On the invariant formulation of fluid mechanics, http://xxx.lanl.gov/ftp/physics/papers/0411/0411154.pdf.
- [6] WALSKI T. M. et al., Advanced water distribution modelling and management, Haestad Press, Waterbury 2003.
- [7] JEFFERY C. A., AUSTIN P. H., A new analytical equation of state for liquid water, J. Chem. Phys., 110, 1, 484–496 (1999).
- [8] POOLE P. H., SCIORTINO F., GRANDE T., STANLEY H. E., ANGELL C. A., Phys. Rev. Letters, 73, 12, 1632–1635 (1994).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BAT3-0037-0038