Oblique waves in steady supersonic flows of Bethe–Zel'dovich–Thompson fluids. (19th September 2018)

• Record Type: Journal Article
• Authors: Vimercati, Davide; Kluwick, Alfred; Guardone, Alberto
• Is Part Of: Journal of fluid mechanics. Volume 855(2018)
• Page Start: 445
• Page End: 468
• Publication Date: 2018-09-19
• Subjects: compressible flows, -- gas dynamics, -- shock waves; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2018.633
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract : Steady self-similar solutions to the supersonic flow of Bethe–Zel'dovich–Thompson fluids past compressive and rarefactive ramps are derived. Inviscid, non-heat-conducting, non-reacting and single-phase vapour flow is assumed. For convex isentropes and shock adiabats in the pressure–specific volume plane (classical gas dynamic regime), the well-known oblique shock and centred Prandtl–Meyer fan occur at a compressive and rarefactive ramp, respectively. For non-convex isentropes and shock adiabats (non-classical gas dynamic regime), four additional wave configurations may possibly occur; these are composite waves in which a Prandtl–Meyer fan is adjacent up to two oblique shock waves. The steady two-dimensional counterparts of the wave curves defined for the one-dimensional Riemann problem are constructed. In the present context, such curves consist of all the possible states connected to a given initial state (namely, the uniform state upstream of the ramp/wedge) by means of a steady self-similar solution. In addition to the classical case, as many as six non-classical wave-curve configurations are singled out. Moreover, the necessary conditions leading to each type of wave curves are analysed and a map of the upstream states leading to each configuration is determined.