The heterogeneous combustion of two immobile interacting particles with arbitrarily shaped surfaces is theoretically described under conditions of rapid chemical reaction, where the concentration of oxidizer molecules on the surface of the particles can be considered to be zero. The problem is solved for an arbitrary temperature dependence of molecular transport coefficients when molecular transport in the vicinity of the particles takes place by diffusion. Analytical formulas found allow for the direct characterization of the combustion of individual spheroidal particles and interacting spherical particles in several particular cases. At the same volumes, heavily elongated and oblate particles are shown to burn significantly faster. The approach of the particles significantly influences the time of burning the finer particle if its size is far less than that of the coarser one.
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