Model of Non-Premixed Combustion of Aluminium—Air Mixtures

Khasainov, Boris; Kuhl, A. L.; Victorov, S. B.; Neuwald, P.

doi:10.1063/1.2263357

Cited by 6 publications

(4 citation statements)

References 2 publications

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“…Previously, the above-given interaction terms (7)- (12) were successfully used by Veyssiere and Khasainov [14] to model steady, plane, double-front detonations in gaseous explosive mixtures containing suspended Al particles. In the current implementation, we convert the Al particles to a liquid at T l = 932 K. Once in the liquid phase, the droplets quickly form a micromist due to intense accelerations by the gas phase, as was demonstrated by Kobiera et al [15] for hexane droplets.…”

Section: Interactionsmentioning

confidence: 99%

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Heterogeneous Continuum Model of Aluminum Particle Combustion in Explosions

Kuhl

Bell

Beckner

2010

Combust Explos Shock Waves

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A heterogeneous continuum model is proposed to describe the dispersion and combustion of an aluminum particle cloud in an explosion. It combines gasdynamic conservation laws for the gas phase with a continuum model for the dispersed phase, as formulated by Nigmatulin. Interphase mass, momentum, and energy exchange are prescribed by the phenomenological model of Khasainov. It incorporates a combustion model based on mass conservation laws for fuel, air, and products. The source/sink terms are treated in the fast-chemistry limit appropriate for such gasdynamic fields, along with a model for mass transfer from the particle phase to the gas. The model takes into account both the afterburning of the detonation products of the booster with air and the combustion of the Al particles with air. The model equations are integrated by high-order Godunov schemes for both the gas and particle phases. Numerical simulations of the explosion fields from 1.5-g shock-dispersed-fuel charges in 3 different chambers are performed. Computed pressure histories are similar to measured waveforms when the ignition temperature model is employed. The predicted product production is 10-14% greater than that measured in the experiments. This fact can be ascribed to unsteady ignition effects not included in the modeling. EXPERIMENTSWe model experiments of shock-dispersed-fuel (SDF) explosions in various chambers. The SDF charge consisted of a 0.5-g spherical PETN booster surrounded by a paper cylinder (Fig. 1); the void volume of 1.6 cm 3 was filled with 1 g of flake aluminum with a bulk density of 0.604 g/cm 3 . The SDF charge was placed at the center of a barometric calorimeter, a circular cylinder of the following dimensions:• L = 21cm, D = 20 cm, L/D = 1.05, and V = 6.6 liters for calorimeter A;• L = 30 cm, D = 30 cm, L/D = 1.0, and V = 21.2 liters for calorimeter B;• L = 37.9 cm, D = 36.9 cm, L/D = 1.03, and V = 40.5 liters for calorimeter C. Fig. 1. Charge construction: (a) 0.5 g PETN booster;(b) Al-SDF charge: 1) paper cylinder; 2) PETN booster charge (0.5 g; 0.5 cm 3 ); 3) loosely packed powdered fuel (1 g; 1.6 cm 3 ).Detonation of the booster charge created a blast wave that dispersed the Al powder and ignited the ensuing Al-air mixture, thereby forming a two-phase combustion cloud embedded in the explosion. Afterburning

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Section: Interactionsmentioning

confidence: 99%

“…The interphase interaction terms for mass, momentum, heat, and particle burning take the form as described by Khasainov et al [12]. We use the following equations: -for the mass exchange,…”

Section: Interactionsmentioning

confidence: 99%

Heterogeneous Continuum Model of Aluminum Particle Combustion in Explosions

Kuhl

Bell

Beckner

2010

Combust Explos Shock Waves

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“…s i , is based on measurements [23] and empirical modeling [24,25] of Al-air combustion systems. The following drag and Nusselt correlations [26] (Appendix C) are assumed:…”

Section: Particle Phasementioning

confidence: 99%

Scaling Turbulent Combustion Fields in Explosions

2020

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We considered the topic of explosions from spherical high-explosive (HE) charges. We studied how the turbulent combustion fields scale. On the basis of theories of dimensional analysis by Bridgman and similarity theories of Sedov and Barenblatt, we found that all fields scaled with the explosion length scale r0. This included the blast wave, the mean and root mean squared (RMS) profiles of thermodynamic variables, combustion variables, velocities, vorticity, and turbulent Reynolds stresses. This was a consequence of the formulation of the problem and our numerical method, which both satisfied the similarity conditions of Sedov. We performed numerical simulations of 1 g charges and 1 kg charges; the solutions were identical (within roundoff error) when plotted in scaled variables. We also explored scaling laws related to three-phase pyrotechnic explosions. We show that although the scaling formally broke down, the fireball still essentially scaled with the explosion length scale r0. However, the discrete Lagrange particles (DLP) (phase 2) and the heterogeneous continuum model (HCM) of the DLP wakes (phase 3) did not scale with r0, and mean and RMS profiles could differ by a factor of 10 in some regions. This was because the DLP particles and wakes introduced an additional scale that broke the similarity conditions.

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“…In this research, the following empirical formulae were used (e.g. [20]) that gives the value of the coefficient approaching Newton's law as the Reynolds number increases:…”

Section: Model For the Solid Phasementioning

confidence: 99%

Interaction of debris with a solid obstacle: Numerical analysis

Kosinska

2010

Journal of Hazardous Materials

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Model of Non-Premixed Combustion of Aluminium—Air Mixtures

Cited by 6 publications

References 2 publications

Heterogeneous Continuum Model of Aluminum Particle Combustion in Explosions

Heterogeneous Continuum Model of Aluminum Particle Combustion in Explosions

Scaling Turbulent Combustion Fields in Explosions

Interaction of debris with a solid obstacle: Numerical analysis

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