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    基于边界层理论的旋流除砂器分离模型构建

    Building of a separation model of cyclone desander based on boundary layer theory

    • 摘要: 本研究旨在构建一个基于边界层理论的旋流除砂器分离效率的预测模型。首先,通过数值模拟方法对旋流除砂器的有效体积流量和有效停留体积进行了校正,得到了停留时间的计算公式。随后,分析了边界层中固体颗粒受力的变化,考虑了速度梯度对颗粒受力的影响,并在此基础上推导出适用于旋流除砂器的径向运动微分方程。基于这些修正,进一步建立了旋流除砂器的分离模型。实验验证结果表明,对于粒径大于13 μm的颗粒,模型预测的相对误差为12%,显著低于传统边界层理论预测的46. 5%,显示出与实验结果更高的吻合度,能够为工程设计提供更为精确的参数支持。

       

      Abstract: This study aimed to develop a predictive model for the separation efficiency of a hydrocyclone-based sand separator based on boundary layer theory. Numerical simulations were first employed to calibrate the effective flow rate and effective retention volume of the hydrocyclone, resulting in a formula for calculating residence time. The study then analyzed the forces acting on solid particles in the boundary layer, considering the influence of velocity gradients on particle forces, and derived a radial motion differential equation suitable for the hydrocyclone. Based on these adjustments, a refined separation model for the hydrocyclone was established. Experimental validation results indicate that, for particles larger than 13 μm, the model achieves a relative error of 12%, significantly lower than the 46. 5% error predicted by traditional boundary layer theory. This outcome demonstrates a closer alignment with experimental data, offering more precise parameter support for engineering design.

       

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