Starting from a kinetic Boltzmann or BGK description of a polyatomic gas, on the basis of a discrete structure of internal energy levels, an asymptotic Chapman–Enskog analysis is performed in the continuum limit in order to achieve consistent fluid-dynamic Navier–Stokes equations for the macroscopic fields. Among the various transport coefficients, emphasis is given to the dynamical pressure, which characterizes molecules with non-translational degrees of freedom, and which vanishes in the mono-atomic limit.
On kinetic models for polyatomic gases and their hydrodynamic limits / Bisi, Marzia; Spiga, Giampiero. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 66:1(2017), pp. 113-124. [10.1007/s11587-016-0289-5]
On kinetic models for polyatomic gases and their hydrodynamic limits
BISI, Marzia;SPIGA, Giampiero
2017-01-01
Abstract
Starting from a kinetic Boltzmann or BGK description of a polyatomic gas, on the basis of a discrete structure of internal energy levels, an asymptotic Chapman–Enskog analysis is performed in the continuum limit in order to achieve consistent fluid-dynamic Navier–Stokes equations for the macroscopic fields. Among the various transport coefficients, emphasis is given to the dynamical pressure, which characterizes molecules with non-translational degrees of freedom, and which vanishes in the mono-atomic limit.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.