Correlating Aluminum Burning Times

Theoretical and numerical study of detonation processes in gas suspensions with aluminum particles

“…For the constant determining the reaction rate of particle combustion, we use the formula τ ξ = τ 0 (d/d 0 ) 2 (induction time τ 0 = 0.0024 msec for the initial diameter of particles d 0 = 10 µm; activation energy E a = 10 6 J/K). The value of τ 0 ensures the agreement with the estimates of the reaction-zone length in the experiments of [1] and with the recent data on combustion of aluminum particles in pure oxygen (with allowance for the quadratic dependence on the diameter) [14,15]. The processes of interphase interaction are determined by known correlation functions, which take into account the dependence of the Nusselt number on the Reynolds number and the dependence of the drag coefficient of particles in a supersonic flow on the Mach number.…”

“…The values of the constants of the mathematical model (ignition temperature, activation energy, heat release, and chemical reaction rate constants) are determined from the condition of agreement between the predicted flow parameters and available experimental data [1][2][3][10][11][12][13][14][15]. The temperature criterion of ignition is assumed to be T ign = 900 K, which is close to the data of [3].…”

Exothermic characteristics of aluminum based nanomaterials

“…From the physics aspect, many deviations from the established laws at the bulk scale have been reported. For instance, the ignition temperature of energetic nanomaterials is more sensitive to the passivation layer and the external heating conditions, and the burning time of nanomaterials is deviated from the conventional d 2 law [2,3].…”

Numerical Simulation of a Vortex Combustor Based on Aluminum and Steam

“…According to the existing research, the combustion law of aluminum particles is basically based on the combustion experiments [11][12][13][14][15][16][17] of single particles and particle groups, and various particle size and burning time laws were obtained, such as d 1.8 and d 1.5 . At the same time, there are many studies from the perspective of the mathematical model theory [14,[18][19][20][21][22], whereby when the particle size of the aluminum particles is large, the combustion is controlled by the continuum regime, whereas, for the nano-aluminum particles, the combustion is controlled by the free-molecule regime, and when the particle size is between these two extremes, the combustion is controlled by a transition regime.…”