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Taylor’s regime of an autocatalytic reaction front in a pulsative periodic flow
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10.1063/1.2919804
/content/aip/journal/pof2/20/5/10.1063/1.2919804
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/5/10.1063/1.2919804
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sketch of the HS cell of thickness and width . Also shown are the velocity profiles obtained at low frequency in the planes located at and at .

Image of FIG. 2.
FIG. 2.

Time evolution of a chemical front (in plane) in a pulsative flow field of period and velocity amplitude . Time increases from left to right and from top to bottom. Two images are separated by time intervals. The distance between two dashes is .

Image of FIG. 3.
FIG. 3.

Time evolution of the front position, ( in mm, in s), for different values of the periods and velocity amplitudes corresponding to (, ) ( in s and in ). (a) (25, 70.4), (b) (50, 69.1), (c) (12.5, 140.7), and (d) (25, 138.2).

Image of FIG. 4.
FIG. 4.

Normalized drift velocity of the chemical front vs the normalized flow velocity amplitude .

Image of FIG. 5.
FIG. 5.

Experimental oscillation frequency of the front width vs the imposed oscillation frequency of the flow (in Hz). The straight line is .

Image of FIG. 6.
FIG. 6.

2D numerical simulation of the front displacement (in the gap of the cell, plane), which is obtained with an imposed flow of period and amplitude, and . The product of the reaction is in gray and the reactant is in dark. From top to bottom, time increases by time steps. The lattice dimensions are . Note that the aspect ratio of the pictures is not 1.

Image of FIG. 7.
FIG. 7.

Time evolution of the front position, ( in mm, in s). –: Experimental data and – –: numerical simulations. The experimental values (, ) ( in s and in ) are (a) (1.12, 100, 70.4), (b) (0.55, 100, 34.6), (c) (0.14, 25, 35.2), and (d) (0.14, 12.5, 70.4).

Image of FIG. 8.
FIG. 8.

Normalized relative front velocity, , vs , where and are the Poiseuille flow and lattice parameters. The symbols pertain to different values of . ●: (0.75, 15.8), ▲: (0.75, 31.6), ▼: (1.5, 15.8), ◼: (1.5, 31.6), ◆: (4.5, 15.8), and ▶: (4.5, 31.6). The open symbols correspond to negative values of . The line is the theoretical prediction of Eq. (7).

Image of FIG. 9.
FIG. 9.

Ratio of the normalized relative front velocity to the mixing regime contribution, , vs . The symbols are the same as in Fig. 8. The straight line is the theoretical prediction of Eq. (7).

Image of FIG. 10.
FIG. 10.

Normalized time-averaged front velocity versus the flow period (inset) and versus the normalized flow period . The symbols correspond to different values of . ●: , ◆: , and ◻: . The solid line corresponds to Taylor’s mixing regime prediction, which is given by Eq. (9). The dashed line corresponds to analytical fit of Ref. 20.

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/content/aip/journal/pof2/20/5/10.1063/1.2919804
2008-05-27
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Taylor’s regime of an autocatalytic reaction front in a pulsative periodic flow
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/5/10.1063/1.2919804
10.1063/1.2919804
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