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Mesoscopic approach to inviscid gas dynamics with thermal lag
Author(s) -
Cimmelli Vito Antonio
Publication year - 2013
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201300066
Subject(s) - mesoscopic physics , compressibility , physics , inviscid flow , mechanics , shock wave , ideal gas , classical mechanics , thermal , relaxation (psychology) , thermodynamics , psychology , social psychology , quantum mechanics
A phenomenological model for thermal relaxation and wave propagation in ideal polyatomic gases is developed by introducing a dynamical non‐equilibrium temperature. The system of equations governing the evolution of the gas is derived and the speeds of propagation of thermo‐mechanical disturbances together with the Rankine‐Hugoniot jump conditions for shock waves are calculated. The hyperbolic theories of heat propagation in incompressible fluids and rigid solids are recovered as particular cases. For rigid solids, the well posedness of the Cauchy problem is proved by a classical method.