Oblique waves in steady supersonic flows of Bethe-Zel’dovich-Thompson fluids | CREA Lab
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Oblique waves in steady supersonic flows of Bethe-Zel’dovich-Thompson fluids

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.

 

Authors

D. Vimercati, A. Kluwick, A. Guardone

Year

2018

Source

Journal of Fluid Mechanics, Volume 855, 25 November 2018, Pages 445-468

Category
Journal Article
Tags
Non-ideal Compressible-Fluid Dynamics, Non-Ideal Compressible-fluid dynamics (NICFD), Non-ideal supersonic expanding flows