Abstract
The objective of the present chapter is to explain in detail the new ET theory of rarefied polyatomic gases and dense gases with 14 independent fields (ET14), that is, the mass density, the velocity, the temperature, the shear stress, the dynamic pressure, and the heat flux. We adopt the system of field equations with a binary hierarchy structure. We show that the constitutive equations can be determined explicitly by the caloric and thermal equations of state as in the monatomic ET13 theory. We also analyze physically important systems, that is, a rarefied polyatomic gas, a gas with the virial equations of state, a hard-sphere system, and a van der Waals gas. Lastly we show that the ET13 theory of rarefied monatomic gases is derived from the ET14 theory as a singular limit.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
I. MĆ¼ller, T. Ruggeri, Rational Extended Thermodynamics, 2nd edn. (Springer, New York, 1998)
E. Ikenberry, C. Truesdell, On the pressure and the flux of energy in a gas according to Maxwellās kinetic theory. J. Ration. Mech. Anal. 5, 1 (1956)
H. Engholm Jr., G.M. Kremer, Thermodynamics of a diatomic gas with rotational and vibrational degrees of freedom. Int. J. Eng. Sci. 32(8), 1241 (1994)
G. M. Kremer, Extended thermodynamics and statistical mechanics of a polyatomic ideal gas. J. Non-Equilib. Thermodyn. 14, 363 (1989)
G.M. Kremer, Extended thermodynamics of molecular ideal gases. Continuum Mech. Thermodyn. 1, 21 (1989)
I.-S. Liu, Extended thermodynamics of fluids and virial equations of state. Arch. Ration. Mech. Anal. 88, 1 (1985)
G.M. Kremer, Extended thermodynamics of non-ideal gases. Physica A 144, 156 (1987)
I.-S. Liu, G.M. Kremer, Hyperbolic system of field equations for viscous fluids. Mat. Aplic. Comp. 9(2), 123 (1990)
I.-S. Liu, J.A. Salvador, Hyperbolic system for viscous fluids and simulation of shock tube flows. Continuum Mech. Thermodyn. 2, 179 (1990)
G.M. Kremer, On extended thermodynamics of ideal and real gases, in Extended Thermodynamics Systems, ed. by S. Sieniutycz, P. Salamon (Taylor and Francis, New York, 1992)
M.C. Carrisi, M.A. Mele, S. Pennisi, On some remarkable properties of an extended thermodynamics model for dense gases and macromolecular fluids. Proc. R. Soc. A 466, 1645 (2010)
T. Ruggeri, Symmetric hyperbolic system of conservative equations for a viscous conducting fluid. Acta Mech. 47, 167 (1983)
T. Arima, S. Taniguchi, T. Ruggeri, M. Sugiyama, Extended thermodynamics of dense gases. Continuum Mech. Thermodyn. 24, 271 (2011)
F. Mallinger, Generalization of the Grad theory to polyatomic gases. INRIA Research Report (1998), p. 3581
A. MĆ¼nster, Statistical Thermodynamics, vol. 2 (Springer, Berlin/Heidelberg/New York, 1974)
N.F. Carnahan, K.E. Starling, Equation of state for nonattracting rigid spheres. J. Chem. Phys. 51, 635 (1969)
T. Arima, S. Taniguchi, T. Ruggeri, M. Sugiyama, Monatomic rarefied gas as a singular limit of polyatomic gas in extended thermodynamics. Phys. Lett. A 377, 2136 (2013)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
Ā© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Ruggeri, T., Sugiyama, M. (2015). RET 14-Field Theory of Polyatomic Gas and Dense Gas. In: Rational Extended Thermodynamics beyond the Monatomic Gas. Springer, Cham. https://doi.org/10.1007/978-3-319-13341-6_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-13341-6_5
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13340-9
Online ISBN: 978-3-319-13341-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)