2020
DOI: 10.1146/annurev-fluid-010719-060114
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Turbulence with Large Thermal and Compositional Density Variations

Abstract: Density variations in fluid flows can arise due to acoustic or thermal fluctuations, compositional changes during mixing of fluids with different molar masses, or phase inhomogeneities. In particular, thermal and compositional (with miscible fluids) density variations have many similarities, such as in how the flow interacts with a shock wave. Two limiting cases have been of particular interest: ( a) the single-fluid non-Oberbeck–Boussinesq low–Mach number approximation for flows with temperature variations, w… Show more

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Cited by 68 publications
(68 citation statements)
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“…In addition, these studies have allowed broadly to validate and verify turbulence mix-models [24][25][26][27][28][29][30][31][32] for buoyancydriven flows and provide insights to solve several long-standing problems in the field. The developments in modeling and simulations in RTI can be found in a companion review by Schilling [33], a review of the theoretical modeling techniques and issues related to variable-density flows with large thermal and density fluctuations can be found in [34]. No attempt is also made to cover the experiments related to the formation of RTI in the highenergy-density regime or RTI due to change in viscosity or chemical reactions; the reader can find those in other recent reviews [35,36].…”
Section: Introductionmentioning
confidence: 99%
“…In addition, these studies have allowed broadly to validate and verify turbulence mix-models [24][25][26][27][28][29][30][31][32] for buoyancydriven flows and provide insights to solve several long-standing problems in the field. The developments in modeling and simulations in RTI can be found in a companion review by Schilling [33], a review of the theoretical modeling techniques and issues related to variable-density flows with large thermal and density fluctuations can be found in [34]. No attempt is also made to cover the experiments related to the formation of RTI in the highenergy-density regime or RTI due to change in viscosity or chemical reactions; the reader can find those in other recent reviews [35,36].…”
Section: Introductionmentioning
confidence: 99%
“…The governing equations in the variable-density incompressible and compressible approximation used in simulations of miscible RT mixing experiments are briefly summarized here (summation over repeated indices is implied) (see Ref. [88]). In binary mixing the sum of the mass fractions is m 1 þ m 2 ¼ 1.…”
Section: Numericalmentioning
confidence: 99%
“…The compressible equations expressing mass, momentum, internal energy, and species conservation solved numerically for ideal gases are[88,91,92] Eqs. (22)-(24) together with…”
mentioning
confidence: 99%
“…Aside from the fact that viscosity and molecular diffusion are not accounted for in the model -in which case the spectra would become time-dependent functions after the passage of the detonation (Sinha 2012;Sethuraman & Sinha 2020), the small-scale regime must be taken with caution as the thin-detonation hypothesis may not be fulfilled. 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.…”
Section: Turbulence Scales Characterizationmentioning
confidence: 99%