An improved Kirkwood–Bethe model for calculating near-field shockwave propagation of underwater explosions

Zhang, Jingxiao; Wang, Shushan; Jia, Xiyu; Gao, Yuan; Ma, Feng

doi:10.1063/5.0040224

Cited by 14 publications

(2 citation statements)

References 24 publications

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“…The K-B theory has been discussed in many related literatures, so it is introduced briefly here. In this paper, the improved model by Zhang [34] is adopted.…”

Section: Methodsmentioning

confidence: 99%

“…The K-B theory was first proposed in 1942 by Kirkwood and Bethe [27]. Then, many scholars have modified with the K-B theory, such as Cole [1], Best [28], Sachdev [29,30], Rogers [31], Kedrinskii [32,33] and Zhang [34]. Moreover, on the basis of the K-B theory, Cole [1], Arons [35], Zamyshlyaev [36], and Chapman [37] proposed semiempirical scaling laws to calculate the underwater explosion shockwave state and the pressure decay time constant q, which, to a large extent, meets engineering requirements.…”

Section: Introductionmentioning

confidence: 99%

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A shockwave calculation method for aluminized explosive of deep water explosion based on the Kirkwood‐Bethe model

Sheng

Hao

Liu

et al. 2023

Propellants Explo Pyrotec

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To calculate the shockwave propagation of deep water explosions for different explosives quickly and accurately, a calculation method, based on the Kirkwood-Bethe theory, was proposed. At the same time, an underwater explosion experiment of the aluminized explosive was carried out in the pressure vessel under high hydrostatic pressure. Then, the calculated results and experimental results were compared for peak pressure, impulse and energy flux density. The results indicated that the proposed method can quickly and accurately determine the shockwave propagation of deep water explosions for the aluminized explosives, with satisfactory agreement with experimental data. Using the proposed method, the shockwave of aluminized explosive under the conditions of different charge weight, different depth and different distance were calculated, the propagation laws of peak pressure, impulse and energy flux density with depth and distance were obtained. The calculation method proposed could be used to calculate shockwave propagation for any kind of explosive, if only knows the parameters of detonation and JWL equation of state.

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“…The K-B theory has been discussed in many related literatures, so it is introduced briefly here. In this paper, the improved model by Zhang [34] is adopted.…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A shockwave calculation method for aluminized explosive of deep water explosion based on the Kirkwood‐Bethe model

Sheng

Hao

Liu

et al. 2023

Propellants Explo Pyrotec

Self Cite

View full text Add to dashboard Cite

show abstract

Influence of water depth on the peak overpressure and energy of the secondary pressure wave of underwater explosions

Gao,

Wang,

Zhang

et al. 2024

Ocean Engineering

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Experimental and theoretical analysis of detonation products state on bubble dynamics and energy distribution in underwater explosion

Feng

Jiao

et al. 2021

Journal of Applied Physics

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The initial states and pressure of detonation products in a bubble have a great impact on bubble pulsation in underwater explosions; particularly, the initial accelerated expansion of a bubble can determine the energy distribution. The energy output and distribution of explosives were obtained on the basis of the underwater explosion experiment in this paper. To study the process of bubble pulsation and energy output, we proposed a gas equation of state (EOS) combining the pvk form, Jones–Wilkins–Lee (JWL) EOS, and the initial states of a bubble to take the effects of the initial bubble pressure and detonation products state transformation into account; furthermore, the bubble radius, velocity, and acceleration vs time were obtained through the Rayleigh–Plesset equation under our experimental condition. The differences of bubble behaviors were compared by adopting the JWL EOS and a polytropic EOS with k = 3. The results showed that the initial bubble pressure and detonation products state transformation influence the accelerating expansion and the subsequent bubble oscillation, respectively. Subsequently, comparisons of the energy output and distribution for different gas EOSs showed that the initial shock wave energy for the JWL EOS was underestimated in accelerating expansion, and the bubble energy was overestimated using the polytropic EOS for k = 3; the obtained energy output and distribution had a better agreement with experimental data when adopting the improved gas EOS. In addition, the energy distribution was determined before the detonation products turned to the explosion gas state in initial expansion based on the relationship of the accelerating expansion characteristics and the initial shock wave energy generation. The research has a great significance to reveal the mechanism of bubble pulsation in underwater explosions.

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An improved Kirkwood–Bethe model for calculating near-field shockwave propagation of underwater explosions

Cited by 14 publications

References 24 publications

A shockwave calculation method for aluminized explosive of deep water explosion based on the Kirkwood‐Bethe model

A shockwave calculation method for aluminized explosive of deep water explosion based on the Kirkwood‐Bethe model

Influence of water depth on the peak overpressure and energy of the secondary pressure wave of underwater explosions

Experimental and theoretical analysis of detonation products state on bubble dynamics and energy distribution in underwater explosion

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