Sensitivity to added mass closure models on predictions of supersonic jet-induced cratering in a particle bed

IF 3.6 2区 工程技术 Q1 MECHANICS International Journal of Multiphase Flow Pub Date : 2024-11-13 DOI:10.1016/j.ijmultiphaseflow.2024.105050
Kaushik Balakrishnan , Josette Bellan
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Abstract

A recent formulation describing supersonic-plume impingement on a granular bed has been shown to have the desirable property of being hyperbolic, thus permitting the physical propagation of pressure waves. This property stemmed from the inclusion of a model for the added mass and a model for the fluid-mediated particle pressure. These models are semi-empirical, and thus the present study is devoted to exploring the sensitivity of the results to the pivotal model of the added mass contributing to hyperbolicity of the equations. Several added-mass models are explored and are first evaluated with available shock tube experimental data that reports the global pressure evolution as function of time. The results show that this type of data cannot discriminate among the different models investigated. Therefore, the remaining of the study is dedicated to exploring the type of data that would allow to differentiate among models. To this end, because the situation of supersonic jet-induced cratering in particle beds is complex and its multifacets are well suited to a variety of measurements, the effect of added-mass models on the spatial multidimensional dynamics of crater formation and evolution is then investigated. Particularly, cratering dynamics, ejecta formation and dispersion, and other aspects crucial to avoiding potential disasters during spacecraft controlled landing on planetary bodies are comparatively assessed to understand the range of predictions corresponding to the added-mass models. The analysis of the results crucially focusses on the identification of experimental results that would discriminate among models for the purpose of only retaining the model encapsulating the correct physics. For the selected initial conditions that are in the range of Earth or Mars atmospheres, it is found that the choice of the added-mass model only slightly affects the crater topography, primarily modifying the shape of the crater floor, the crater depth at which same macroscopic features are found and the shape of the crater walls. The models influence the predictions of the ejecta only at intermediary crater depths, with no influence in other spatial regions.

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添加质量闭合模型对超音速喷流诱发颗粒床破碎预测的敏感性
最近,一种描述超音速水流撞击颗粒床的公式被证明具有双曲线的理想特性,从而允许压力波的物理传播。这一特性源于加入了附加质量模型和流体介导的颗粒压力模型。这些模型都是半经验模型,因此本研究致力于探索结果对造成方程双曲性的关键附加质量模型的敏感性。研究探讨了几种附加质量模型,并首先用现有的冲击管实验数据进行了评估,这些数据报告了全球压力随时间的演变。结果表明,这类数据无法区分所研究的不同模型。因此,研究的其余部分致力于探索能够区分不同模型的数据类型。为此,由于超音速射流在颗粒床中诱发的陨石坑情况复杂,且其多面体非常适合各种测量,因此研究了添加质量模型对陨石坑形成和演变的空间多维动态的影响。特别是对陨石坑动力学、喷出物的形成和弥散以及对避免航天器在行星体上受控着陆时可能发生的灾难至关重要的其他方面进行了比较评估,以了解添加质量模型相应的预测范围。对结果的分析主要集中在确定能够区分不同模型的实验结果,以便只保留包含正确物理原理的模型。对于所选择的地球或火星大气范围内的初始条件,研究发现,附加质量模型的选择只对陨石坑地形产生轻微影响,主要是改变陨石坑底部的形状、发现相同宏观特征的陨石坑深度以及陨石坑壁的形状。这些模型只对中间陨石坑深度的喷出物预测产生影响,对其他空间区域没有影响。
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来源期刊
CiteScore
7.30
自引率
10.50%
发文量
244
审稿时长
4 months
期刊介绍: The International Journal of Multiphase Flow publishes analytical, numerical and experimental articles of lasting interest. The scope of the journal includes all aspects of mass, momentum and energy exchange phenomena among different phases such as occur in disperse flows, gas–liquid and liquid–liquid flows, flows in porous media, boiling, granular flows and others. The journal publishes full papers, brief communications and conference announcements.
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