A Quantitative Analysis of the Ignition Characteristics of Fine Iron Particles

Ignition of iron particles in an oxidizing environment marks the onset of a self-sustained combustion. The objective of the current study is to quantitatively examine the ignition characteristics of fine iron particles governed by the kinetics of solid-phase iron oxidation. The oxidation rates are inversely proportional to the thickness of the oxide layer and calibrated using the experimentally measured growth of iron-oxide layers over time. Steady-state and unsteady analysis have been performed to probe the dependence of the critical gas temperature required to trigger a thermal runaway (namely, the ignition temperature $T_\mathrm{ign}$) on particle size, initial thickness of oxide layer, inert gas species, radiative heat loss, and the collective heating effect in a suspension of particles. Both analyses indicate that $T_\mathrm{ign}$ depends on $\delta_0$, i.e., the ratio between the initial oxide layer thickness and particle size, regardless of the absolute size of the particle. The unsteady analysis predicts that, for $\delta_0 \lesssim 0.003$, $T_\mathrm{ign}$ becomes independent of $\delta_0$. Under standard conditions in air, $T_\mathrm{ign}$ is approximately 1080 K for any particle size greater than 5 microns. Radiative heat loss has a minor effect on $T_\mathrm{ign}$. The collective effect of a suspension of iron particles in reducing $T_\mathrm{ign}$ is demonstrated. The transition behavior between kinetic-controlled and external-diffusion-controlled combustion regimes of an ignited iron particle is systematically examined. The influences of initial oxide-layer thickness and particle temperature on the ignition delay time, $\tau_\mathrm{ign}$, of iron particles are parametrically probed. A $d^2$-law scaling between $\tau_\mathrm{ign}$ and particle size is identified.