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Analysis of flame acceleration induced by wall friction in open tubes
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10.1063/1.3425646
/content/aip/journal/pof2/22/5/10.1063/1.3425646
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/5/10.1063/1.3425646
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Accelerating or hypothetical steady flame in a tube/channel with nonslip walls and both ends open.

Image of FIG. 2.
FIG. 2.

Scaled profile of the flow velocity, Eq. (25), for various .

Image of FIG. 3.
FIG. 3.

Scaled flame shape, Eq. (37), for and various .

Image of FIG. 4.
FIG. 4.

Flame acceleration in a cylindrical tube of radius (a) and (b) . Both ends of the tube are open. The flame isotherms are taken from 600 to 2100 K with the step of 300 K in each plot in both figures. (a) The positions (a)–(h) are related to the time instants , with equal time intervals . (b) The positions (a)–(g) are related to the time instants , with equal time intervals .

Image of FIG. 5.
FIG. 5.

Flame oscillations in a 2D channel of width with both ends open (Ref. 27). The flame isotherms are taken from 600 to 2100 K with the step of 300 K in each plot. The positions (a)–(f) are related to the time instants .

Image of FIG. 6.
FIG. 6.

Flame acceleration in a cylindrical tube of radius with one end closed (Ref. 23). The flame isotherms are taken from 600 to 2100 K with the step of 300 K in each plot. The positions (a)–(g) are related to the time instants , with interval .

Image of FIG. 7.
FIG. 7.

Evolution of the flame shape in a cylindrical tube of radius with both ends open. The colors designate the temperature: from 300 K in the cold gas to 2400 K in the burnt matter. The snapshots (a)–(g) are related to the time instants , with equal time intervals .

Image of FIG. 8.
FIG. 8.

The scaled total flame velocity vs time for open cylindrical tubes with and . The plots are related to three main stages of the flame dynamics: (a) initial (concave), (b) intermediate (inversional), and [(c) and (d)] final (self-similar, convex). (d) is a counterpart of (c) in the semilogarithmic scale. The dashed plot is related to the test simulation run with and the simulation grid . Two dotted plots in (c) and (d) are related to a tube with a closed end (Ref. 23).

Image of FIG. 9.
FIG. 9.

Acceleration rate vs the Peclet number for . The solid plot shows the numerical solution to Eq. (39). The dashed plot presents the zeroth-order approximation, Eq. (43). The simulation results are shown by symbols. The dotted plot is related to a tube with a closed end (Ref. 23).

Image of FIG. 10.
FIG. 10.

The scaled total burning rate vs time for an open cylindrical tube with and various expansion factors .

Image of FIG. 11.
FIG. 11.

The scaled total burning rate vs time for an open cylindrical tube with and various expansion factors . The plots are related to (a) concave and (b) convex stages of the flame dynamics.

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/content/aip/journal/pof2/22/5/10.1063/1.3425646
2010-05-26
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Analysis of flame acceleration induced by wall friction in open tubes
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/5/10.1063/1.3425646
10.1063/1.3425646
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