Asymptotic aspects of the Boussinesq approximation for gases and liquids

摘要: Abstract The asymptotic formulation of the Boussinesq approximation relates pressure fluid to a thermodynamical quantity involving heat capacity cPo . In this paper we examine implications such scaling, in particular: (i) singular degeneracy equation state ρ = ρ* (1 −α* (T−;T*)) liquid: is valid only for small values coefficient α T*; (ii) which manner scaling introduces Mach number flow as parameter e compressible fluid. equations at order zero with respect ϵ are same gases and liquids if thermodynamics medium described by using Brunt-Vaisala frequency instead temperature.