Starting from the Boltzmann kinetic equations for a mixture of gas molecules whose internal structure is described by a discrete set of internal energy levels, hydrodynamic equations at Euler level are deduced by a consistent hydrodynamic limit in the presence of a two-scale collision process. The fast process driving evolution is constituted by mechanical encounters between particles of the same species, whereas inter-species scattering proceeds at the macroscopic scale. The resulting multi-temperature and multi-velocity fluid-dynamic equations are briefly commented on, and some results in closed analytical form are given for special simplified situations like Maxwellian collision kernels, or mono-atomic hard sphere gases.
Multi-temperature hydrodynamic limit from kinetic theory in a mixture of rarefied gases / M. Bisi, G. Martalò, G. Spiga. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - 122:special issue(2012 May 23), pp. 37-51. [10.1007/s10440-012-9724-0]
Multi-temperature hydrodynamic limit from kinetic theory in a mixture of rarefied gases
G. MartalòSecondo
;
2012
Abstract
Starting from the Boltzmann kinetic equations for a mixture of gas molecules whose internal structure is described by a discrete set of internal energy levels, hydrodynamic equations at Euler level are deduced by a consistent hydrodynamic limit in the presence of a two-scale collision process. The fast process driving evolution is constituted by mechanical encounters between particles of the same species, whereas inter-species scattering proceeds at the macroscopic scale. The resulting multi-temperature and multi-velocity fluid-dynamic equations are briefly commented on, and some results in closed analytical form are given for special simplified situations like Maxwellian collision kernels, or mono-atomic hard sphere gases.File | Dimensione | Formato | |
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