On the dependence of surface temperature on the burning rate of HMX

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Abstract

The paper presents the results of processing the experimental data available in the literature on the surface temperature and burning rate of double-base propellants, RDX and HMX. The interrelation between the burning rate and surface temperature for them is represented in the form of a single, unambiguous, and unified correlation independent of the initial temperature of the sample. For HMX, such a correlation takes a form lnU=4.8−2550Ts−1 (SD = 0.06) or U = 124exp(−2550/Ts) where [U] = cm/s and [Ts] = °C and, conversely, Ts = 516 + 72lnU (SD = 7.2) valid for the ranges of burning rates 0.05 < U < 1.0 cm/s and surface temperatures 360 < Ts < 515°C. The derived correlations U(Ts) allow estimation of the temperature at individual points on the front of the transverse wave based on the local values of the burning rate in these points.

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About the authors

Vladimir N. Marshakov

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

Author for correspondence.
Email: marsh_35@mail.ru

Doctor of Sciences in Physics and Mathematics, Chief Researcher

Russian Federation, Moscow

Georgy V. Melik-Gaikazov

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

Email: marsh@chph.ras.ru

Candidate of Sciences in Physics and Mathematics, Engineer

Russian Federation, Moscow

References

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Supplementary files

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2. Fig. 1. Burning rate vs. surface temperature for the double-base propellants: 1 — experimental data for propellant N; 2 — experimental data for propellant NB; 3 — experimental data for propellant N+; 4 — correlation 4 (see Table 1) for a set of data for propellants N, NB, and N+; and 5 — correlation 5 (see Table 1) for a set of data for propellants N, NB, and N+ from [7]

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3. Fig. 2. Burning rate vs. surface temperature in semilogarithmic coordinates: signs — experiments; curves — calculations; 1–4 — [10]; 5 — [9]; 6 — [11]; 7 — correlations (1) and (3) [12–14]; 8 — correlation (2) [12, 13]; and 9 — correlation (4) [14]

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4. Fig. 3. Burning rate U vs. surface temperature Ts in semilogarithmic coordinates for the initial temperatures of samples T0 = 20, 100, and −170°C: 1 — data and correlation lnU(1000/Ts) from [10]; and 2 — data and correlation lnU(1000/Ts) from [11]

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5. Fig. 4. Surface temperature Ts vs. burning rate U at the initial temperatures of the samples T0 = 20, 100, and −170°C: 1 — data from [10]; and 2 — data from [11]

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