Abstract The aim of the present work is to progress in the identification of the effects responsible for the formation of jets in heterogeneous gas-particle cylindrical and spherical explosions. In this direction three two-phase flow models are considered, namely Baer and Nunziato’s (BN) (1986) model, Marble’s (1963) model and the dense-dilute model of Saurel et al. (2017). The first and third ones involve both non-conservative terms and viscous drag effects while the second one involves viscous drag only as interaction force. Computed results show that viscous drag alone is unable to reproduce finger-like instabilities. The BN model and the dense-dilute one differ significantly by their acoustic properties. It is shown that the only model able to reproduce qualitatively finger-like jets is the dense-dilute model. Mesh dependence of the results is studied as well as presence or absence of viscous drag. It appears that the non-conservative terms seem responsible for jetting effects.

中文翻译：

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两相指状不稳定性的数值研究

摘要 本工作的目的是在非均质气体粒子圆柱形和球形爆炸中形成射流的影响的识别方面取得进展。在这个方向上，考虑了三个两相流模型，即 Baer 和 Nunziato (BN) (1986) 模型、Marble (1963) 模型和 Saurel 等人的密集稀释模型。(2017)。第一个和第三个涉及非保守项和粘性阻力效应，而第二个涉及粘性阻力仅作为相互作用力。计算结果表明，单独的粘性阻力无法重现手指般的不稳定性。BN 模型和密集稀释模型的声学特性有显着差异。结果表明，唯一能够定性再现手指状射流的模型是密集稀释模型。研究结果的网格依赖性以及粘性阻力的存在与否。似乎非保守术语似乎是造成喷射效应的原因。