Detonation–turbulence interaction

Velocity Fluctuations in the Interaction of Homogeneous, Isotropic Turbulence and a Detonation Wave

“…The values of Q and E are 38.57 and 20 respectively, corresponding to values similar to those used by Dou et al [10]. The validity of the simplifying assumptions above was discussed in [7]. The computational domain, shown schematically in Fig.…”

“…For brevity, the method is summarized with details available in [7]. The conservation equations in Cartesian form for a perfect gas with a specific heat ratio of 1.2…”

“…1, is a cuboid with 100× 100 cells uniformly distributed in the (y, z) cross section and 500 cells in the axial (x) direction. The grids are stretched in the axial direction in a piecewise polynomial manner with a fine grid maintained around the shock [7].…”

“…DTI introduces complexities in three aspects: (i) heat release, (ii) a length scale associated with the detonation and (iii) the presence of intrinsic fluctuations of the unstable detonation front [7]. Jackson et al [8] studied the interaction of a detonation wave with a weak, homogeneous, isotropic turbulent field characterized by vortical fluctuations which can be treated as incompressible despite the supersonic mean flow.…”

“…Later, Massa et al [7] developed direct numerical simulations (DNS) specifically for N = 1 with a single-step Arrhenius-type reaction. Reaction parameters were chosen to match those of stoichiometric mixtures of air and small paraffins.…”