Molecular extended thermodynamics of rarefied polyatomic gases is characterized by two hierarchies of equations for moments of a suitable distribution function in which the internal degrees of freedom of a molecule is taken into account. On the basis of physical relevance the truncation orders of the two hierarchies are proven to be not independent on each other, and the closure procedures based on the maximum entropy principle (MEP) and on the entropy principle (EP) are proven to be equivalent. The characteristic velocities of the emerging hyperbolic system of differential equations are compared to those obtained for monatomic gases and the lower bound estimate for the maximum equilibrium characteristic velocity established for monatomic gases (characterized by only one hierarchy for moments with truncation order of moments N) by Boillat and Ruggeri (1997) $\frac{\lambda^{E, max}_{(N)}}{c_0} \geq \sqrt{\frac{6}{5}\left(N-\frac{1}{2}\right)}$, ($c_0 = \sqrt{\frac{5kT}{3m}}$) is proven to hold also for rarefied polyatomic gases independently from the degrees of freedom of a molecule.
Takashi Arima, Andrea Mentrelli, Tommaso Ruggeri (2014). Molecular extended thermodynamics of rarefied polyatomic gases and wave velocities for increasing number of moments. ANNALS OF PHYSICS, 345, 111-140 [10.1016/j.aop.2014.03.011].
Molecular extended thermodynamics of rarefied polyatomic gases and wave velocities for increasing number of moments
MENTRELLI, ANDREA;RUGGERI, TOMMASO ANTONIO
2014
Abstract
Molecular extended thermodynamics of rarefied polyatomic gases is characterized by two hierarchies of equations for moments of a suitable distribution function in which the internal degrees of freedom of a molecule is taken into account. On the basis of physical relevance the truncation orders of the two hierarchies are proven to be not independent on each other, and the closure procedures based on the maximum entropy principle (MEP) and on the entropy principle (EP) are proven to be equivalent. The characteristic velocities of the emerging hyperbolic system of differential equations are compared to those obtained for monatomic gases and the lower bound estimate for the maximum equilibrium characteristic velocity established for monatomic gases (characterized by only one hierarchy for moments with truncation order of moments N) by Boillat and Ruggeri (1997) $\frac{\lambda^{E, max}_{(N)}}{c_0} \geq \sqrt{\frac{6}{5}\left(N-\frac{1}{2}\right)}$, ($c_0 = \sqrt{\frac{5kT}{3m}}$) is proven to hold also for rarefied polyatomic gases independently from the degrees of freedom of a molecule.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
