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Microscopic simulations of supersonic and subsonic exothermic chemical wave fronts and transition to detonation
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10.1063/1.3522878
/content/aip/journal/jcp/134/3/10.1063/1.3522878
http://aip.metastore.ingenta.com/content/aip/journal/jcp/134/3/10.1063/1.3522878
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Solution of the balance equations in the case of a weak detonation: Ratio of species A concentration and total density (solid line, left axis), scaled temperature increase (dashed line, right axis), and scaled stream velocity (dotted line, right axis) for , , and after integration time steps.

Image of FIG. 2.
FIG. 2.

Same as Fig. 1 in the case of a weak deflagration for , , .

Image of FIG. 3.
FIG. 3.

Same caption as FIG. 1 in the case of a Chapman–Jouguet detonation wave for , , .

Image of FIG. 4.
FIG. 4.

Transition from weak to Chapman–Jouguet detonation: Scaled speed of the reactive interface vs. scaled heat release (in logarithmic scale) deduced from DSMC for an activated reaction with , (triangles) and a nonactivated reaction with , (circles). The + symbols give the solution of the numerical integration of the balance equations for an activated reaction with , . The solid lines give the upper branch and the lower branch of the forbidden domain calculated for and .

Image of FIG. 5.
FIG. 5.

Scaled density profiles of chemical species A (a), scaled total density (b), scaled temperature (c), and scaled stream velocity (d) for heat release q = 0.08 in the domain of supersonic reactive interfaces (weak and Chapman–Jouguet detonations). DSMC (black solid line) and balance equations (dashed line) for an activated reaction with , . DSMC (gray solid line) and balance equations (dotted line) for a nonactivated reaction with , . The profiles for activated and nonactivated reactions have been arbitrarily x-shifted for clarity.

Image of FIG. 6.
FIG. 6.

Scaled temperature and kurtosis profiles (thick solid lines) deduced from DSMC for heat release in the case of a weak detonation, for a nonactivated reaction with , (a) and for an activated reaction with , (b). The thin solid lines represent the scaled temperatures , , and kurtoses , of each population of chemical species A and B.

Image of FIG. 7.
FIG. 7.

Transition from weak deflagration to Chapman–Jouguet detonation: Scaled speed of the reactive interface versus scaled heat release (in logarithmic scale) deduced from DSMC for an activated reaction with , (triangles) and a nonactivated reaction with , (circles). The + symbols give the solution of the numerical integration of the balance equations for an activated reaction with , . The solid lines give upper branch and lower branch of the forbidden domain of the forbidden domain calculated for and .

Image of FIG. 8.
FIG. 8.

Scaled density profiles of chemical species A (a), scaled total density (b), scaled temperature (c), and scaled stream velocity (d) for heat release in the domain of subsonic reactive interfaces (weak deflagrations). DSMC (black solid line) and balance equations (dashed line) for an activated reaction with , . DSMC (gray solid line) and balance equations (dotted line) for a nonactivated reaction with , . The profiles for activated and nonactivated reactions have been arbitrarily x-shifted for clarity.

Image of FIG. 9.
FIG. 9.

Same as in Fig. 6 in the domain of subsonic reactive interfaces (weak deflagration) for heat release , for a nonactivated reaction with , (a) and for an activated reaction with , (b). The dotted line gives the temperature deduced from the balance equations.

Image of FIG. 10.
FIG. 10.

Same as in Fig. 6 on the branch (Chapman–Jouguet detonation) for heat release and for an activated reaction with , . The dashed line gives the temperature deduced from the balance equations.

Image of FIG. 11.
FIG. 11.

Same as in Fig. 6 on the branch (Chapman–Jouguet detonation) for heat release and for a nonactivated reaction with , . The dotted line gives the temperature deduced from the balance equations.

Image of FIG. 12.
FIG. 12.

Same as in Fig. 6 on the branch (Chapman–Jouguet detonation) for heat release and for an activated reaction with , . The dashed line gives the temperature deduced from the balance equations.

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/content/aip/journal/jcp/134/3/10.1063/1.3522878
2011-01-21
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Microscopic simulations of supersonic and subsonic exothermic chemical wave fronts and transition to detonation
http://aip.metastore.ingenta.com/content/aip/journal/jcp/134/3/10.1063/1.3522878
10.1063/1.3522878
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