Numerical study of 3D gaseous detonations in a square channel

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

“…The mean structure of three-dimensional gaseous detonations has been addressed only recently (Taileb et al 2018) and is still in its infancy, also due to its computational cost. However, 2-D simulations have been shown to bring about the main qualitative features of gaseous detonations.…”

“…Therefore, this study aims to understand to what extent the four detonation characteristic lengths and the four droplet characteristic times can be intertwined, and how these processes interact with each other. To that end, a weakly unstable gaseous mixture with an initial regular cellular structure is chosen, for which the third dimension should not bring any quantitative difference on the mean quantities (Taileb et al 2018). The mixture is 2H 2 + O 2 + 2N 2 at the initial low pressure of 10 kPa and at an initial temperature of 300 K. The mass loading of the water droplets is 0.07, with a uniform diameter of 15.9 µm.…”

The influence of the equation of state on the cellular structure of gaseous detonations

“…Two-dimensional (2-D) Favre averages were obtained by taking all the profiles along the height of the channel, L y , making them collapse into one line after changing the frame of reference to be fixed to the wave (i.e. (x − x s (y, t)); x s (y, t) is the instantaneous leading shock location), and subsequently performing a temporal averaging as per the following expression 35,43,45,46 :…”

Lagrangian dispersion and averaging behind a two-dimensional gaseous detonation front

“…Furthermore, Sow, Chinnayya & Hadjadj (2014) proposed the Favre average procedure for the detonation in the non-inertial instantaneous shock frame to take into account the unsteadiness of the shock front. So far, the Favre average procedure to obtain 1-D profiles was applied to planar detonations Radulescu et al 2007;Maxwell et al 2017;Taileb et al 2018;Sow, Lau-Chapdelaine & Radulescu 2021;Taileb, Meluguizo-Gavilances & Chinnayya 2021b), in non-uniform mixtures (Mi, Timofeev & Higgins 2017a;Mi et al 2017b), in mixtures with concentration gradients (Han, Wang & Law 2019), in mixtures with fluctuations in concentrations (Zhou et al 2022), cylindrical detonation (Han et al 2017), also in non-ideal configurations such as detonations bounded by an inert layer (Reynaud, Virot & Chinnayya 2017;Reynaud et al 2020), with wall losses (Chinnayya, Hadjadj & Ngomo 2013;Sow et al 2014;Sow, Chinnayya & Hadjadj 2015, in two-phase detonations with water spray (Watanabe et al 2019(Watanabe et al , 2020(Watanabe et al , 2021 and with fuel spray (Jourdaine, Tsuboi & Hayashi 2022).…”