On the Navier-Stokes equations for water

• Autorzy: Piekarski S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Gibbs identity; thermodynamics

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2006
• Tom: Vol. 31, No. 2
• Strony: 265--271
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Piekarski S.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland,

Bibliografia

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• [3] WHITHAM G. B., Linear and nonlinear waves, Wiley – Interscience Publication. John Wiley & Sons, New York 1974.
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• [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).