Ignition of high-energy solids with nonideal surfaces by constant heat flux

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Abstract

Ignition characteristics of a high-energy solid with nonideal (rough) surface by constant heat flux were studied. The geometry of surface was represented by a set of identical protrusions having a shape of wedge based on the block of reactive solid. Depending on the ratio of the protrusion height and the depth of the heated layer formed in course of ignition process, several regimes of ignition were found: (i) when the substance is ignited as a massive block and the effect of roughness is negligible; (ii) when ignited are the individual protrusions; and (iii) the intermediate region between the previous two. Critical ignition conditions, ignition time and ignition criterion were determined for the three regimes. The results are compared with the results for the one-dimensional (1D) ignition of the semi-infinite body. It is shown that the effect of geometry on ignition results in the considerable reduction of the ignition time or the amount of energy required for the successful ignition is less compared to the 1D case.

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About the authors

Vladimir G. Krupkin

N. N. Semenov Federal Research Center for Chemical Physics of the Russian Academy of Sciences

Author for correspondence.
Email: krupkin49@mail.ru

Doctor of Sciences in Physics and Mathematics, Head of the Laboratory

Russian Federation, Moscow

Grigory N. Mokhin

N. N. Semenov Federal Research Center for Chemical Physics of the Russian Academy of Sciences

Email: mokhin@gmail.com

Candidate of Sciences in Physics and Mathematics, Researcher

Russian Federation, Moscow

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Supplementary files

Supplementary Files
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2. Fig. 1. The model diagram: (a) ignition of rough surface by constant heat flux; and (b) a single protrusion

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3. Fig. 2. Apex temperature θin(0) vs. time τ in course of inert heating, ζ0 = 1: 1 — protrusion; 2 — slab; and 3 — wedge

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4. Fig. 3. Evolution of the temperature distribution in the protrusion with time (ζ0 = 6; θ0 = –10.53; and Ω = 0.686): 1 — τ = 4; 2 — 15.49; 3 — 36.88; 4 — 49.50; and 5 — τ = 50.18

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5. Fig. 4. Apex temperature vs. time (1, Ω = 0.686) in comparison with the inert heating (2, Ω = 0) at ζ0 = 6 and θ0 = –10.53

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6. Fig. 5. Dependences of ignition time τ∗ (a) and ignition criterion Ω∗ (b) on protrusion height ζ0 at various initial temperatures θ0: –5.8 (1); −10.5 (2); −15.8 (3); and −20.2 (4)

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7. Fig. 6. Dependence of ignition time τ∗ (a) and ignition criterion Ω∗ (b) on initial temperature θ0 at various protrusion heights ζ0: 1 — ζ0 = 0; 2 — 2; 3 — 6; 4 — 12; and 5 — ζ0 = 20

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