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Interaction of turbulence and scalar fields in premixed flames
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Image of FIG. 1.
FIG. 1.

Isosurface of at from the direct simulation (Ref. 14). Flow is from left to right and it is periodic in and directions.

Image of FIG. 2.
FIG. 2.

Spatial variation of instantaneous (a) progress variable, , and (b) normalized reaction rate, , of the progress variable with in the DNS at . The location of maximum for the selected position is denoted by .

Image of FIG. 3.
FIG. 3.

Variation of and inside the flame brush. Note that includes the contribution from gradients of mean progress variable also.

Image of FIG. 4.
FIG. 4.

Variation of different terms in Eq. (3). The values are normalized using reactant density, the unstrained planar laminar flame thickness and its propagation speed.

Image of FIG. 5.
FIG. 5.

Variation of components inside the flame brush.

Image of FIG. 6.
FIG. 6.

The orientation of scalar gradient vector, , with the most extensive principal strain rate vector, . The gray scale map shown above is for in a typical plane inside the turbulent flame brush. A linear scale is used with the black color corresponding to and the white color corresponding to . Contours of are shown in the insets as white lines with the solid line for , the heavy and light dashed lines for , and , respectively. The plane shown above is located at the middle of the thin slice shown in Fig. 1.

Image of FIG. 7.
FIG. 7.

The probability density function of scalar gradient alignment with the most extensive, , and the most compressive, , principal strain rates. The pdf is shown for three different locations inside the turbulent flame brush.


Generic image for table
Table I.

Attributes of numerical turbulent flame used for analysis.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Interaction of turbulence and scalar fields in premixed flames