The dripping zone of the blast furnace is important in determining the productivity and quality of hot metal. The permeability of the bed affects both of these factors. Static holdup of hot metal and slag resulting from interfacial phenomena adversely affect the permeability of the bed. To characterize the holdup in the packed bed, we assumed the packed bed as an ensemble of two-sphere contacts at various contact axis inclinations and for contact angles. We developed mathematical models to determine the shapes of stable films at these contacts taking into account interfacial and gravitational energies. The film at higher contact angles shows an asymmetric shape even in between vertical spheres, which is investigated in detail. We also show the reason for the difficulty for dripping of the liquids at smaller particle sizes.

中文翻译：

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使用能量最小化模型对焦床中炉渣和铁水滴落标准的基本见解

高炉的滴水区在决定铁水的生产率和质量方面很重要。床的渗透性影响这两个因素。由界面现象引起的铁水和炉渣的静态滞留对床的渗透性产生不利影响。为了表征填充床中的滞留量，我们假设填充床是在各种接触轴倾斜度和接触角下的两个球体接触的集合。我们开发了数学模型来确定这些接触处的稳定薄膜的形状，同时考虑到界面能和重力能。即使在垂直球体之间，较高接触角的薄膜也显示出不对称的形状，对此进行了详细研究。我们还展示了小粒径液体难以滴落的原因。