Numerical analysis of the mean structure of gaseous detonation with dilute water spray

Effect of equivalence ratio fluctuations on planar detonation discontinuities

“…Similar effects have been observed in detonations moving through gaseous reactive media with water clouds (Watanabe et al. 2019, 2020). However, a clear correlation between the upstream properties of the heterogeneous mixture and the detonation propagation velocity has not been presented to date.…”

“…When moving through fuel-air sprays with large droplets, detonations exhibit a deficit in the propagation velocity compared to the gas-phase velocity (Kailasanath 2006). Similar effects have been observed in detonations moving through gaseous reactive media with water clouds (Watanabe et al 2019(Watanabe et al , 2020. However, a clear correlation between the upstream properties of the heterogeneous mixture and the detonation propagation velocity has not been presented to date.…”

“…They give the amplitudes of the perturbations in the asymptotic far field when the oscillating detonation reaches the constant-amplitude regime governed by the external single-frequency excitation. This case is representative of scenarios where the upstream spectrum is dominated by a single characteristic frequency k, something that is not expected to occur in heterogeneous gaseous mixtures, but rather in multi-phase environments involving water sprays (Watanabe et al 2019(Watanabe et al , 2020 or fuel sprays (Williams 1961). The model presented here cannot be directly applied to these conditions since in them density gradients cannot be linearized, and nonlinear terms cannot be neglected.…”

“…Therefore, the properties of the turbulent flow behind the detonation front predicted by the linear interaction theory should be further extended to include the effects of finite reaction lengths, as noted in and , and nonlinear contributions, as noted in Larsson & Lele (2009), Prakash & Raman (2019), Livescu (2020) and Tian et al (2020). The latter is unavoidable if multi-phase environments are under consideration (Watanabe et al 2019(Watanabe et al , 2020. However, there are some aspects predicted by the model that deserve particular attention.…”

“…The latter is unavoidable if multi-phase environments are under consideration (Watanabe et al. 2019, 2020). However, there are some aspects predicted by the model that deserve particular attention.…”