Density and velocity statistics in variable density turbulent mixing

Abstract

We experimentally study variable–density mixing of miscible gases in an open-circuit wind tunnel using simultaneous particle image velocimetry and planar laser-induced fluorescence. Experiments of a high Atwood number (0.6) and low Atwood number (0.1) are performed to compare non-Boussinesq cases with the Boussinesq limit. The higher density gas is injected into the wind tunnel co-flow using a round jet configuration, and near-field and far-field measurements are performed to examine mixing in both momentum and buoyancy-dominated regimes. The effects of buoyancy are measurable and important in both large-scale mixing features and in turbulence quantities. The low Atwood number PDFs (probability density functions) show fast and uniform mixing. The high Atwood number PDFs of density have skewness towards the larger densities, indicating less mixing of the heavy fluid due to its inertia. The skewness in the density gradient PDFs at high Atwood number displays strong density local variations that can enhance mixing at molecular scales. Turbulent kinetic energy decreases with streamwise distance from the jet for low Atwood number but increases for high Atwood number due to larger buoyancy and density-driven shear. Over 3000 experimental realisations are used to calculate statistical characteristics of the mixing, including valuable and rarely given data such as Favre-averaged turbulent quantities: mass flux velocity, Reynolds stress, turbulent kinetic energy, and density-specific volume correlation. Buoyancy effects are observed in these quantities and the trends are compared qualitatively with direct numerical simulations.

Keywords:

• variable density turbulence
• turbulent mixing
• buoyant jet

Acknowledgements

The authors would like to thank Daniel Livescu and Raymond Ristorcelli for stimulating discussions and comments, Adam Martinez for help with tunnel fabrication, and Suhas Uddhav Pol for help in data processing. The work was made possible by funding from the U.S. Department of Energy contract DE-AC52-06NA25396.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The U.S. Department of Energy contract DE-AC52-06NA25396.