Theoretical Deduction of Ignition Position and Temperature of Two-dimensional Slow Cook-off Model

doi:10.12382/bgxb.2023.0103

Abstract

Abstract:

According to the theoretical equation of heat conduction of explosives, the non-reactive heat conduction term of explosives is separated from the self-heating reaction heat conduction term by using the superposition principle and the separation variable method, which lays a theoretical foundation for the theoretical analysis of slow cook-off process of condensed explosives and the study on the ignition point of slow cook-off. Therefore the analytical solution of temperature distribution for two-dimensional slow cook-off model of condensed explosives is derived. The variation of the temperature field of self-heating reaction with time and explosive size is calculated and analyzed. The ignition position, ignition temperature and ignition time calculated theoretically are verified by the results of slow cook-off test. The results show that the ignition time and ignition position determined by theory are consistent with those measured by experiment. With the increase of the size, the position of the highest temperature of self-heating reaction of explosive moves from the center to the edge corner. With the increase of test time, the temperature distribution of self-heating reaction tends to be stable. For the RDX explosive with size of ϕ76mm×190mm, the self-heating reaction temperature distribution at the ignition time is consistent with the self-heating reaction temperature distribution at 80000s before ignition.

Key words: ammunition, slow cook-off, ignition position, heat conduction, analytical solution

CLC Number:

TJ410.1

ZHANG Kun, ZHI Xiaoqi, XIAO You, WANG Shuai, LUO Ruiheng, ZHANG Yaoyao, HUANG Yunwei. Theoretical Deduction of Ignition Position and Temperature of Two-dimensional Slow Cook-off Model[J]. Acta Armamentarii, 2024, 45(5): 1564-1572.

Figures/Tables 15

Fig.1 Tested ammunition and location of temperature measuring points

Fig.2 Slow cook-off test setup

Table 1 Measured results of thermocouple at ignition

热电偶测点	外壁	1号测点	2号测点	3号测点
温度/K	461.1	458.9	458.5	459.1

Fig.3 Temperature-time curve

Fig.4 Test results

Table 2 Properties and kinetic parameters of RDX explosive

材料	密度/ (kg·m^-3)	比热容/ (J·kg^-1·K^-1)	热导率/ (W·m^-1·K^-1)	活化能/ (J·mol^-1)	指前因子/ s^-1	反应热/ (J·kg^-1)
RDX	1610	1130	0.25	202730	5.8×10¹⁸	21010

Fig.5 Temperature variation curves of theoretical solution and measured value

Fig.6 Comparison of temperature distributions

Fig.7 Temperature distribution for L=0.096m、M=0.0287m

Fig.8 Temperature distribution with explosive size of L=0.19m、M=0.0574m

Fig.9 Temperature distribution with explosive size of L=0.38m、M=0.1148m

Fig.10 Temperature distribution for L=0.76m、M=0.2296m

Fig.11 Relative distance

Fig.12 Temperature distribution at 85000s (L=0.096m, M=0.0287m)

Fig.13 Temperature distribution at 125000s (L=0.096m, M=0.0287m)

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