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Combustion, Explosion and Shock Waves

2026 year, number 5

Toward a Theory of Combustion of Aluminum Nanoparticles in Oxygen-Containing Gases. 2. Problems in Describing Conductive and Radiative Heat Transfer

A. M. Savelyev, D. A. Yagodnikov
Bauman Moscow State Technical University, Moscow, Russia
Keywords: nanoparticles, aluminum, modeling, heat transfer, energy accommodation, skin layer, electrical absorption, magnetic absorption

Abstract

This paper examines the problems of describing conductive and radiative heat transfer in models of aluminum nanoparticle combustion. The agreement between theoretical models of classical electrodynamics and experimental data on absorption cross sections in the IR region is analyzed. It is shown that in both the far- and near-IR regions, the models underestimate the absorption cross section of aluminum nanoparticles compared to experimental data. Models that assume a small nanoparticle size compared to the skin depth differ from experiment not only quantitatively but also qualitatively in the near-IR region. This indicates that the skin depth in the near-IR region is no greater than the size of the nanoparticles, and therefore, the dissipation of wave energy within the nanoparticles should be considered taking into account partial shielding of the wave field. A semiempirical formula for calculating the thermal radiation of nanoparticles is proposed, taking into account the partial shielding of the wave field within the nanoparticle volume.