In this work, we describe the model of magnetic Fe₂O₃ submicroparticles separation during transit of their water dispersion through separation pipe based on matrix of closely organized steel spheres. The fundamental idea originates from detailed field analysis of gradient magnetic field in spheres contacts ambient generated by external magnetic field and its influence on flowing submicroparticles. During the model derivation, the fundamental physical principles have been applied to minimise the influence of the phenomenological members. The determined result formula related to the separation model determines exit dispersion particles concentration and equivalent form of device efficiency. In its fundamental shape, this formula is the function of nine independent physical parameters. In the frame of its experimental verification, most of these parameters have been fixed. The experimental data have been correlated with our model prediction, where only the following three independent variables have been implemented: separation tube length, particles size, and external magnetic field intensity. The theory and experiment comparison have shown that the coefficient of determination R² is over 0.997. At the same time, the described theoretical model specifies the approach for optimal parameters selection to achieve the requested separation efficiency in concrete conditions.

在这项工作中，我们描述了磁性Fe ₂ O ₃的模型基于紧密组织的钢球矩阵，在水分散通过分离管的过程中进行亚微粒分离。基本思想源自对球形梯度磁场的详细场分析，该球形磁场接触外部磁场所产生的环境及其对流动的亚微粒的影响。在模型推导过程中，已应用基本物理原理来最小化现象学成员的影响。与分离模型有关的确定结果公式确定了出口分散颗粒的浓度和等效的装置效率形式。该公式的基本形状是九个独立物理参数的函数。在其实验验证的框架中，大多数这些参数已固定。实验数据与我们的模型预测相关，其中仅实现了以下三个独立变量：分离管长度，颗粒大小和外部磁场强度。理论和实验比较表明，测定系数R²超过0.997。同时，所描述的理论模型规定了最佳参数选择的方法，以在具体条件下实现所需的分离效率。