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 引用本文: 万初一, 范祖相, 周岱, 韩兆龙, 朱宏博, 包艳. 强迫振动下垂直管道固液两相流数值模拟研究. 力学学报, 2024, 56(3): 586-596.
Wan Chuyi, Fan Zuxiang, Zhou Dai, Han Zhaolong, Zhu Hongbo, Bao Yan. Numerical simulation research of solid-liquid two-phase flow in vertical pipe under forced vibration. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(3): 586-596.
 Citation: Wan Chuyi, Fan Zuxiang, Zhou Dai, Han Zhaolong, Zhu Hongbo, Bao Yan. Numerical simulation research of solid-liquid two-phase flow in vertical pipe under forced vibration. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(3): 586-596.

## NUMERICAL SIMULATION RESEARCH OF SOLID-LIQUID TWO-PHASE FLOW IN VERTICAL PIPE UNDER FORCED VIBRATION

• 摘要: 粗颗粒固液两相流的管道输运适用于深海采矿工程. 扬矿管道在流致振动作用下的内部固液两相流的输运机理尚未被完全探究. 因此, 采用计算流体动力学(CFD)与离散元(DEM)耦合的方法, 分析不同粒径、不同振动频率与振幅和不同浓度工况下在强迫振动管道中的粗颗粒动力学特性以及管内流场变化特性. 其中, 将管道的振动简化为一维径向振动, 将实际工况中的柔性管道假定为刚体管道. 研究表明, 在管道振动过程中, 大颗粒相比小颗粒的惯性更大, 而流体也需要更大的速度产生更大的曳力推动大颗粒, 导致更大的轴向流场速度以及更大的轴向颗粒速度. 随着粒径增大, 大颗粒对流场的扰动更大, 导致流体与壁面间的作用力更大; 并且大颗粒与壁面间的碰撞和摩擦作用力更大, 因此壁面剪应力增大. 同时, 大颗粒与流体间摩擦损耗的能量也更大. 因此管道需要更大的能量将其输运, 导致振动管道内的压降增加. 增大管道振动频率与振幅会导致颗粒在截面上的分布更加分散, 同时对流场扰动更大, 然而对轴向流场速度的影响相对较小. 增大进料浓度使颗粒间、颗粒与流场间的作用更加频繁, 导致颗粒分布发生变化, 并导致更大的轴向流场速度和湍动能.

Abstract: The transportation of coarse-particle solid-liquid two-phase flow in pipes is applicable to deep-sea mining engineering. The transport mechanism of internal solid-liquid two-phase flow in riser pipes under flow-induced vibration has not been fully explored. Therefore, this study employs a coupled computational fluid dynamics (CFD) and discrete element method (DEM) approach to analyze the dynamic characteristics of coarse particles and the variations in the flow field characteristics under forced vibration conditions in pipes with varying particle sizes, different vibration frequencies and amplitudes, and different concentrations. In this analysis, the pipe vibration is simplified as one-dimensional radial vibration, and flexible pipes in practical situations are assumed to be rigid pipes. Research indicates that during pipe vibration, larger particles exhibit greater inertia compared to smaller ones, and the fluid must attain higher velocity to generate increased drag force necessary for propelling these larger particles, resulting in higher axial flow field velocity and greater axial particle velocity. As the particle size increases, larger particles induce more significant perturbations in the flow field, leading to increased forces between the fluid and the pipe wall; additionally, larger particles experience more substantial collisions and frictional forces with the pipe wall, thus amplifying wall shear stress. Simultaneously, the energy dissipated due to frictional losses between larger particles and the fluid is also greater. Consequently, a higher energy input is required to transport these particles, leading to an increase in pressure drop within the vibrating pipe. Increasing the pipe vibration frequency and amplitude leads to a more dispersed particle distribution across the cross-section and greater disturbance to the flow field, albeit with a relatively minor impact on axial flow field velocity. Higher feed concentrations result in more frequent interactions between particles and between particles and the flow field, causing changes in particle distribution and leading to increased axial flow velocity and turbulence kinetic energy.

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