The dust distribution law acting at the top of a blast furnace ( BF ) is of great significance for understanding gas flow distribution and mitigating the negative influence of dust particles on the accuracy and service life of detection equipment. The harsh environment inside a BF makes it difficult to describe the dust distribution. This paper addresses this problem by proposing a dust distribution k-Sε -Up model based on interphase ( gas-powder ) coupling. The proposed model is coupled with a k-Sε model ( which describes gas flow movement ) and a Up model ( which depicts dust movement ) . First, the kinetic energy equation and turbulent dissipation rate equation in the k-Sε model are established based on the modeling theory and single-Green-function two-scale direct interaction approximation ( SGF-TSDIA ) theory. Second, a dust particle movement Up model is built based on a force analysis of the dust and Newtonʼ s laws of motion. Finally, a coupling factor that describes the interphase interaction is proposed, and the k-Sε -Up model, with clear physical meaning, rigorous mathematical logic, and adequate generality, is developed. Simulation results and on-site verification show that the k-Sε -Up model not only has high precision, but also reveals the aggregate distribution features of the dust, which are helpful in optimizing the installation position of the detection equipment and improving its accuracy and service life.

中文翻译：

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基于k–Sε–up模型的高炉顶部粉尘分布研究

作用于高炉顶部的粉尘分布规律对于理解气流分布以及减轻粉尘颗粒对检测设备的准确性和使用寿命的负面影响具有重要意义。高炉内部的恶劣环境使粉尘分布难以描述。本文提出了一种基于相间（气-粉）耦合的粉尘分布k-Sε-Up模型。提出的模型与k-Sε模型（描述气流运动）和Up模型（描述灰尘运动）耦合。首先，基于建模理论和单格林函数两尺度直接相互作用逼近（SGF-TSDIA）理论，建立了k-Sε模型中的动能方程和湍流耗散率方程。第二，基于对粉尘的力分析和牛顿运动定律，建立了粉尘颗粒运动模型。最后，提出了描述相间相互作用的耦合因子，并建立了具有明确物理意义，严格数学逻辑和足够通用性的k-Sε-Up模型。仿真结果和现场验证表明，k-Sε-Up模型不仅精度高，而且还揭示了粉尘的聚集分布特征，有助于优化检测设备的安装位置，提高检测精度和准确性。服役生涯。发展了严格的数学逻辑和足够的通用性。仿真结果和现场验证表明，k-Sε-Up模型不仅精度高，而且还揭示了粉尘的聚集分布特征，有助于优化检测设备的安装位置，提高检测精度和准确性。服役生涯。发展了严格的数学逻辑和足够的通用性。仿真结果和现场验证表明，k-Sε-Up模型不仅精度高，而且还揭示了粉尘的聚集分布特征，有助于优化检测设备的安装位置，提高检测精度和准确性。服役生涯。