On the classification of dense fluids

• Autorzy: Piekarski S.
• Języki publikacji: EN

Abstrakty

EN

It is commonly accepted that the existence of entropy imposes restrictions on the constutive functions in the Navier-Stokes-Fourier equations. In the paper: S. Piekarski, "On the Navier- Stokes equation for water" (Archives of Acoustics, 31, 2, 265271, 2006) it has been shown that if the energy per unit mass is a function of the temperature T only, then the pressure p is an arbitrary function of the density - multiplied by the temperature T. Now the general form of the relations between the energy density and the pressure is given (both quantities are understood as functions of the mass density and the temperature). These relations can be approximated in different ways and different approximations suggest different classifications of dense fluids (some of them are similar to the virial expansions).

Słowa kluczowe

EN

Gibbs identity; thermodynamics

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2007
• Tom: Vol. 32, No. 4
• Strony: 933--940
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Piekarski S.

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

Bibliografia

• [1] PIEKARSKI S., On the Navier-Stokes equation for water, Archives of Acoustics, 31, 2, 265-271 (2006).
• [2] DYMOND J. H., SMITH E. B., The virial coefficients of pure gases and mixtures. A critical compilation, Clarendon Press, Oxford 1980.
• [3] WILMAŃSKI K., Thermodynamical models of continuous media [in Polish], Poznań University of Technology, 1985.
• [4] SMITH E. B., Basic chemical thermodynamics, Oxford University Press, 1982.
• [5] WILMAŃSKI K., Thermomechanics of continua, Springer, Berlin 1998.