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Modeling molecular mixing in a spatially inhomogeneous turbulent flow
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10.1063/1.3684994
/content/aip/journal/pof2/24/2/10.1063/1.3684994
http://aip.metastore.ingenta.com/content/aip/journal/pof2/24/2/10.1063/1.3684994
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Distributions of concentrations ϕ1 and ϕ2 in the DNS study of Sawford and de Bruyn Kops2 at time t = 0. The concentration field statistics are inhomogeneous in y-direction only and change over time t.

Image of FIG. 2.
FIG. 2.

Decay of (a) turbulent kinetic energy k and (b) dissipation rate ɛ as a function of time t. Results of (solid lines) the PDF method and (dots) DNS-based power laws (15) and (16) from Ref. 2 are plotted.

Image of FIG. 3.
FIG. 3.

Velocity-conditional concentration means (a) 〈ϕ1|v, y, t〉 and (b) 〈ϕ2|v, y, t〉 for different times t and velocities (solid lines) v = +u (t) and (dashed lines) v = −u (t). Results of (dots) the PDF method with the mixing model (11) and (lines) analytical expression (20) from Ref. 2 are plotted.

Image of FIG. 4.
FIG. 4.

Concentration standard deviations of ((a) and (c)) ϕ1 and ((b) and (d)) ϕ2 for different times (solid lines) t/T 0 = 1, (dashed lines) 2, and (dotted lines) 4. Results of ((a) and (b)) the second simulation with mixing model (11) and ((c) and (d)) IEM model (7) are plotted. For reference, (dots) the DNS results from Ref. 2 are provided. The agreement of the first simulation with model (11) and with the IECM mixing model (10) is almost identical to (a) and (b).

Image of FIG. 5.
FIG. 5.

Concentration covariance for different times (solid lines) t/T 0 = 1, (dashed lines) 2, and (dotted lines) 4. Results of (a) the second simulation with mixing model (11) and (b) IEM model (7) are plotted. For reference, (dots) the DNS results from Ref. 2 are provided. The agreement of the first simulation with model (11) and with the IECM mixing model (10) is almost identical to (a).

Image of FIG. 6.
FIG. 6.

Logarithm of the joint concentration PDF g ϕ(ψ; y, t) at location y = 0 and time t = 4T 0. Provided are (a) the DNS results,2 (b) the first and (c) second simulations with mixing model (11), and (d) the IEM and (e) IECM model results.

Image of FIG. 7.
FIG. 7.

Conditional mean diffusion rate distribution of the first concentration at location y = 0 and time t = 4T 0. Provided are (a) the DNS results,2 (b) the first and (c) second simulations with mixing model (11), and (d) the IEM and (e) IECM model results.

Image of FIG. 8.
FIG. 8.

Conditional mean diffusion rate distribution of the second concentration at location y = 0 and time t = 4T 0. Provided are (a) the DNS results,2 (b) the first and (c) second simulations with mixing model (11), and (d) the IEM and (e) IECM model results.

Image of FIG. 9.
FIG. 9.

Conditional mean velocity 〈u|ψ, y, t〉/u (t) at location y = 0 and time t = 4T 0. Provided are (a) the DNS results,2 (b) the first and (c) second simulations with mixing model (11), and (d) the IEM and (e) IECM model results.

Image of FIG. 10.
FIG. 10.

Joint concentration PDF g ϕ(ψ; y, t) at location y = 0 and times t = 4T 0 and 8T 0. Compared are model results from the IEM, IECM, and the second simulation with the generalized model (GM). White corresponds to zero probability density.

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/content/aip/journal/pof2/24/2/10.1063/1.3684994
2012-02-24
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Modeling molecular mixing in a spatially inhomogeneous turbulent flow
http://aip.metastore.ingenta.com/content/aip/journal/pof2/24/2/10.1063/1.3684994
10.1063/1.3684994
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