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Influence of a simple magnetic bar on buoyancy-driven fingering of traveling autocatalytic reaction fronts
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10.1063/1.4768722
/content/aip/journal/pof2/24/12/10.1063/1.4768722
http://aip.metastore.ingenta.com/content/aip/journal/pof2/24/12/10.1063/1.4768722
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sketch of the system.

Image of FIG. 2.
FIG. 2.

Applied magnetic field.

Image of FIG. 3.
FIG. 3.

Nonlinear dynamics of autocatalytic chemical fronts at successive times in absence of any magnetic field (M R = 0) with (a) Ra = 1 (unstable descending front) and (b) Ra = −1 (unstable ascending front).

Image of FIG. 4.
FIG. 4.

Nonlinear dynamics of autocatalytic chemical fronts at successive times with Ra = 1, α = 0.25, and (a) M R = 2, (b) M R = 4, and (c) M R = 6.

Image of FIG. 5.
FIG. 5.

Nonlinear dynamics of autocatalytic chemical fronts at successive times with Ra = 1, α = −0.25, and (a) M R = 2, (b) M R = 4, and (c) M R = 6.

Image of FIG. 6.
FIG. 6.

Mixing length of the finger of autocatalytic chemical front for different magnetic numbers with Ra = 1, α = 0.25 (corresponds to Fig. 4, unstable descending front).

Image of FIG. 7.
FIG. 7.

Nonlinear dynamics of autocatalytic chemical fronts at successive times when Ra = 2, and a transverse magnetic field is applied with (a) M R = 0, (b) M R = 15, α = 0.25, and (c) M R = 15, α = −0.25.

Image of FIG. 8.
FIG. 8.

Space-time maps of the locations of the maxima (black) and the minima (grey) of the transversed averaged profiles ⟨c(y, t)⟩ as a function of time for Ra = 2 and a transverse magnetic field with (a) M R = 0, (b) M R = 15, α = 0.25, and (c) M R = 15, α = −0.25. The horizontal direction corresponds to the length in the y-direction (l y = 2048), while time is increasing upward from t = 0 up to t = 3000.

Image of FIG. 9.
FIG. 9.

(a) Mixing length of the finger of autocatalytic chemical front in presence of a transverse magnetic field for Ra = −2 (corresponds to Fig. 7), (b) magnification of (a) at early time t.

Image of FIG. 10.
FIG. 10.

Nonlinear dynamics of autocatalytic chemical fronts at successive time for Ra = 0, and a transverse magnetic field M R = 10, α = 0.25.

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/content/aip/journal/pof2/24/12/10.1063/1.4768722
2012-12-06
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Influence of a simple magnetic bar on buoyancy-driven fingering of traveling autocatalytic reaction fronts
http://aip.metastore.ingenta.com/content/aip/journal/pof2/24/12/10.1063/1.4768722
10.1063/1.4768722
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