Numerical Investigation of Reactive and Non-reactive Richtmyer-Meshkov Instabilities

Bengoechea, Sergio; Stein, Lewin; Reiß, Julius; Sesterhenn, Jörn

doi:10.1007/978-3-319-11967-0_21

Cited by 3 publications

(1 citation statement)

References 16 publications

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“…To be consistent with the one-dimensional shock tube experiment (Vetter & Sturtevant 1995;Leinov et al 2009) and other numerous simulations (Hill, Pantano & Pullin 2006;Lombardini et al 2011;Bengoechea et al 2014) is set as M s = 1.5 with the position of R s = 8.5 mm. The inner species of the perturbed cylinder are full of 85 % H 2 and 15 % N 2 , with a pressure of 101 325 Pa and a temperature of 800 K. The outer species of the perturbed cylinder are full of 79 % N 2 and 21 % O 2 , and their pressure and temperature are the same as those of the inner species.…”

Section: Governing Equationsmentioning

confidence: 94%

Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability

Yan

Wang

et al. 2022

J. Fluid Mech.

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Direct numerical simulations of a three-dimensional cylindrical Richtmyer–Meshkov instability with and without chemical reactions are carried out to explore the chemical reaction effects on the statistical characteristics of transition and turbulent mixing. We adopt 9-species and 19-reaction models of non-premixed hydrogen and oxygen separated by a multimode perturbed cylindrical interface. A new definition of mixing width suitable for a chemical reaction is introduced, and we investigate the spatio-temporal evolution of typical flow parameters within the mixing regions. After reshock with a fuller mixing of fuels and oxygen, the chemical reaction becomes sufficiently apparent at affecting the evolution of the flow fields. Because of the generation of a combustion wave within the combustion regions and propagation, the growth of the mixing width with a chemical reaction is accelerated, especially around the outer radius with large temperature gradient profiles. However, the viscous dissipation rate in the early stage of the chemical reaction is greater because of heat release, which results in weakened turbulent mixing within the mixing regions. We confirm that small-scale structures begin to develop after reshock and then decay over time. During the developing process, helicity also begins to develop, in addition to kinetic energy, viscous dissipation rate, enstrophy, etc. In the present numerical simulations with cylindrical geometry, the fluctuating flow fields evolve from quasi-two-dimensional perturbations, and the generations of helicity can capture this transition process. The weakened fluctuations during shock compression can be explained as the inverse energy cascade, and the chemical reaction can promote this inverse energy cascade process.

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