Overpressure Damage Power and Distribution Optimization of Synergistic Multiple Cloud Detonation

doi:10.12382/bgxb.2023.1159

Abstract

Abstract:

The large volume charge for fuel-air explosive weapons is a main developing trend.However,it is very difficult for a single cloud detonation device to spray large amounts of fuel.The mainstream solution is multiple cloud collaborative detonation.Therefore,how to design the distribution of multiple clouds to maximize the damage power of synergistic detonation overpressure is a technical bottleneck that needs to be resolved.The superposition effect of shock waves of double clouds collaborative detonation and the influence of distribution structural parameters on the detonation overpressure field are analyzed through numerical simulation.On this basis,the maximum damage gain of synergistic detonation is quantitatively investigated,and an optimal distribution scheme of multiple clouds detonation and a theoretical prediction model of damage area are given.The results show that there exists an optimal distance between two cloud regions,which maximizes the damage area of synergistic detonation.The dimensionless optimal distance between two cloud regions is related to the concentration of fuel.Based on the optimal distance between two cloud regions,the optimal radius of distribution field in multiple clouds with equidistant circumferential distribution is designed,and the maximum damage area of multiple cloud collaborative detonation under this optimal distribution is proportional to the 2/3 power of fuel mass and the 1/3 power of the number of cloud regions.

Key words: cloud detonation, multiple cloud region, overpressure field, optimal scheme, damage prediction

CLC Number:

TQ560.1

WANG Ximeng, XUE Kun. Overpressure Damage Power and Distribution Optimization of Synergistic Multiple Cloud Detonation[J]. Acta Armamentarii, 2025, 46(1): 231159-.

Figures/Tables 25

Table 1 Detonation parameters

ρ_fuel/(kg·m^-3)	B/kPa	R₂	C/kPa	ω	D_C_-_J/(m·s^-1)	E₀/(kJ·m^-3)	p_C_-_J/kPa
0.05	419.08	0.62	499.76	0.366	1448	1617	1174
0.07	173.63	0.53	629.25	0.321	1595	2280	1452
0.09	198.57	0.50	735.82	0.289	1708	2941	1702
0.11	203.37	0.46	825.22	0.262	1784	3597	1894
0.13	178.25	0.42	907.59	0.241	1838	4225	2038
0.15	189.99	0.44	955.98	0.242	1879	4422	2151

Fig.1 Front and top views ofgeometric configuration of model

Table 2 Parameters of JWL equation of state for TNT explosive

A/kPa	B/kPa	R₁	R₂	ω	ρ/(kg·m^-3)	D_C_-_J/(m·s^-1)	E₀/(kJ·m^-3)	p_C_-_J/kPa
3.307×10⁸	3.90×10⁶	4.485	0.79	0.30	1583	6880	6.62×10⁶	1.94×10⁷

Table 3 Comparison of test and simulated results of explosion for two-point explosive

测点编号	超压峰值/MPa		误差/%
测点编号	试验值	仿真值	误差/%
1	0.441	0.446	1.29
2	0.255	0.242	4.98
3	0.168	0.169	0.84
4	0.186	0.183	1.51

Fig.2 Geometric configuration of double clouds (the red dot in the center of cloud is the detonation point)

Table 4 Simulation calculation conditions of double clouds detonation

工况编号	M_fuel_,_tot/kg	ρ_fuel/(kg·m^-3)	D^*
A1	10	0.05	4.25~14.00 (间隔0.25)
A2	10	0.07
A3	10	0.09
A4	10	0.11
A5	10	0.13
A6	10	0.15
A7	100	0.11
A8	500	0.11
A9	1000	0.11
A10	1000	0.05
A11	1000	0.15

Fig.3 Geometric configurations of three and four clouds

Fig.4 Pressure nephograms at four typical moments

Fig.5 The pressure curvesin the characteristic directions of x and y axes at four typical moments

Fig.6 Peak pressure distributions of double clouds detonation at different

Fig.7 The evolution of the three levels of damage areas (a)-(e),and the location and line segment of special point (f)

Fig.8 Change of S ~of single cloud detonation with ρfuel

Fig.9 S X *of the different D*(working condition A4)

Fig.10 SX,2versusD*(working condition group A4)

Fig.11 Special line segment distance ΔyXversus D*

Table 5 D X , b e s t * of double clouds detonation of different Mfuel,tot

M_fuel_,_tot/kg	$D Ⅰ, b e s t *$	$D Ⅱ, b e s t *$	$D Ⅲ, b e s t *$
10	11.25	8.25	5.75
100	11.00	8.50	6.00
500	10.75	8.25	5.75
1000	11.00	8.50	5.75

Table 5 D X , b e s t * of double clouds detonation of different Mfuel,tot

M_fuel_,_tot/kg	$D Ⅰ, b e s t *$	$D Ⅱ, b e s t *$	$D Ⅲ, b e s t *$
10	11.25	8.25	5.75
100	11.00	8.50	6.00
500	10.75	8.25	5.75
1000	11.00	8.50	5.75

Fig.12 D X , b e s t *versus ρfuel

Table 6 The polynomial fitting parameters of D X , b e s t *with ρfuel

毁伤等级	A₁	A₂	A₃	R²
Ⅰ	4.56	96.70	-351.79	0.996
Ⅱ	3.20	71.69	-236.61	0.992
Ⅲ	1.36	62.79	-207.59	0.998

Fig.13 The relationship among S X , m a x *,ρfuel and Mfuel,totunder three damage levels

Fig.14 SX,3 and SX,4 versus D*

Fig.15 Schematic diagram of multiple clouds and the maximum damage areas

Fig.16 rX,N/ ( M f u e l , t o t ) 1 / 3versus N for ρfuel=0.11kg/m3

Fig.17 Maximum damage area diagram of Level Ⅱ of four clouds detonation

Table 7 Comparison of simulated and predicted results of maximum damage areas of three and four clouds detonations

云雾区个数N	毁伤等级X	三级最大毁伤面积/m²		误差/%
云雾区个数N	毁伤等级X	仿真值	预测值	误差/%
3	Ⅰ	1768.79	1882.19	6.02
	Ⅱ	956.48	1009.79	5.28
	Ⅲ	374.50	406.84	7.95
4	Ⅰ	2061.21	2071.61	0.50
	Ⅱ	1124.92	1111.42	1.21
	Ⅲ	458.83	447.79	2.47

Fig.18 ξ versus N

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