Study on gas–liquid flow in stirred tank with two combinations of dual-impeller(six-bent-bladed turbine(6BT)+six-inclined-blade down-pumping turbine(6 ITD),the six-bent-bladed turbine(6BT)+six-inclinedblade up-pumpin...Study on gas–liquid flow in stirred tank with two combinations of dual-impeller(six-bent-bladed turbine(6BT)+six-inclined-blade down-pumping turbine(6 ITD),the six-bent-bladed turbine(6BT)+six-inclinedblade up-pumping turbine(6ITU))was conducted using computational fluid dynamics(CFD)and population balance model(PBM)(CFD-PBM)coupled model.The local bubble size was captured by particle image velocimetry(PIV)measurement.The gas holdup,bubble size distribution and gas–liquid interfacial area were explored at different conditions through numerical simulation.The results showed that the 4 mm bubbles accounted for the largest proportion of 33%at the gas flow rates Q=0.76 m^(3)·h^(-1) and 22%at Q=1.52 m^(3)·h^(-1) for combined impeller of 6BT+6ITU,while the bubbles of 4.7 mm and 5.5 mm were the largest proportion for 6BT+6ITD combination,i.e.25%at Q=0.76 m^(3)·h^(-1) and 22%at Q=1.52 m^(3)·h^(-1),respectively,which indicated that 6BT+6ITU could reduce bubble size effectively and promote gas dispersion.In addition,the gas holdup around impellers was increased obviously with the speed compared with gas flow rate.So it was concluded that 6ITU impeller could be more conductive to the bubble dispersion with more uniform bubble size,which embodied the advantages of 6BT+6ITU combination in gas–liquid mixing.展开更多
Gas-liquid-solid three-phase flow is common in various fields,making it crucial to accurately and efficiently describe its dynamic behaviors.To better perform the gas-liquid-solid three-phase simulations,a coupling co...Gas-liquid-solid three-phase flow is common in various fields,making it crucial to accurately and efficiently describe its dynamic behaviors.To better perform the gas-liquid-solid three-phase simulations,a coupling code based on GPU named as CoSim-FVDEM is developed,which combines the finite volume method(FVM)and the discrete element method(DEM).This code encompasses unresolved,resolved and resolved-unresolved coupling methods,making it suitable for three-phase flow simulations involving solid particles of various sizes.A series of cases are conducted to validate the accuracy of the developed coupling algorithm,including complex dam breach flow,water entry test of a single sphere and multi-sphere within rotating roller.Finally,a gas-liquid-solid three-phase flow numerical experiment is performed,which involves the bi-disperse granular systems in a rotating roller.Base on the numerical results,the dynamic behaviors of the three-phase flow are analyzed and the computational efficiency is evaluated.The results indicate that the developed coupling code can better be used for the dynamic analysis of large-scale gas-liquid-solid three-phase flow.展开更多
在采用计算流体力学−离散元耦合方法(computational fluid dynamics-discrete element method,CFD-DEM)进行固液两相耦合分析时,颗粒计算时间步的选取直接影响到耦合计算精度和计算效率.为此,本文选取每个目标颗粒为研究对象,引入插值...在采用计算流体力学−离散元耦合方法(computational fluid dynamics-discrete element method,CFD-DEM)进行固液两相耦合分析时,颗粒计算时间步的选取直接影响到耦合计算精度和计算效率.为此,本文选取每个目标颗粒为研究对象,引入插值函数计算时间步的运动位移,构建可变空间搜索网格;通过筛选可能碰撞颗粒建立搜索列表,采用逆向搜索方式判断碰撞颗粒,从而提出一种改进的DEM方法(modified discrete element method,MDEM).该算法在颗粒群与流体耦合计算中,颗粒计算初始时间步选取不受颗粒碰撞时间限制,通过自动调整和修正实现大步长,由颗粒和流体耦合条件实时更新流体计算时间步,使颗粒计算时间步选取过小导致计算效率低、选取过大导致颗粒碰撞漏判的问题得以解决,为颗粒与流体耦合的数值模拟提供了行之有效的计算方法.通过两个颗粒和多个颗粒的数值模拟,得到的颗粒间碰撞力、碰撞位置及次数,与理论计算结果的相对误差均低于2%,与传统的DEM碰撞搜索算法相比,在选取的3种计算时间步均不会影响计算精度,且有较高的计算效率.通过多个颗粒与流体的耦合数值模拟,采用传统的CFD-DEM方法,只有颗粒计算时间步选取10^(−6)s或更小才能得到精确解,而采用本文方法取10^(−4)s也能够得到精确解,避免了颗粒碰撞随时间步增大而出现的漏判问题,且计算耗时降低了16.7%.展开更多
针对油浸式电力变压器瞬态温升计算效率过低的问题,该文提出本征正交分解-αATS(proper orthogonal decomposition-adaptive time stepping based onαfactor,POD-αATS)降阶自适应变步长瞬态计算方法。首先,推导变压器绕组瞬态温升计...针对油浸式电力变压器瞬态温升计算效率过低的问题,该文提出本征正交分解-αATS(proper orthogonal decomposition-adaptive time stepping based onαfactor,POD-αATS)降阶自适应变步长瞬态计算方法。首先,推导变压器绕组瞬态温升计算的有限元离散方程;其次,采用POD降阶算法改善传统瞬态计算中存在的条件数过大及方程阶数过高的问题;同时对于瞬态计算中的时间步长选择问题,提出适用于非线性问题的αATS变步长策略;然后,为验证方法的有效性,基于110 kV油浸式电力变压器绕组的基本结构建立二维八分区数值计算模型,同时将计算结果与基于110 kV绕组的温升实验结果进行对比。数值计算及实验结果表明,所提算法与全阶定步长算法在流场和温度场中的精度几乎相同,且流场计算效率提升约45倍,温度场计算效率提升约38倍,计算速度得到显著提高。这一点在温升实验中同样得到验证,说明该文所提算法的准确性、高效性及一定的工程实用性。展开更多
基金supported by the National Natural Science Foundation of China(52176040)Shandong Provincial Natural Science Foundation of China(ZR2018LE015)。
文摘Study on gas–liquid flow in stirred tank with two combinations of dual-impeller(six-bent-bladed turbine(6BT)+six-inclined-blade down-pumping turbine(6 ITD),the six-bent-bladed turbine(6BT)+six-inclinedblade up-pumping turbine(6ITU))was conducted using computational fluid dynamics(CFD)and population balance model(PBM)(CFD-PBM)coupled model.The local bubble size was captured by particle image velocimetry(PIV)measurement.The gas holdup,bubble size distribution and gas–liquid interfacial area were explored at different conditions through numerical simulation.The results showed that the 4 mm bubbles accounted for the largest proportion of 33%at the gas flow rates Q=0.76 m^(3)·h^(-1) and 22%at Q=1.52 m^(3)·h^(-1) for combined impeller of 6BT+6ITU,while the bubbles of 4.7 mm and 5.5 mm were the largest proportion for 6BT+6ITD combination,i.e.25%at Q=0.76 m^(3)·h^(-1) and 22%at Q=1.52 m^(3)·h^(-1),respectively,which indicated that 6BT+6ITU could reduce bubble size effectively and promote gas dispersion.In addition,the gas holdup around impellers was increased obviously with the speed compared with gas flow rate.So it was concluded that 6ITU impeller could be more conductive to the bubble dispersion with more uniform bubble size,which embodied the advantages of 6BT+6ITU combination in gas–liquid mixing.
基金supported by the projects of National Natural Science Foundation of China(grant Nos.52479102 and 52079067).
文摘Gas-liquid-solid three-phase flow is common in various fields,making it crucial to accurately and efficiently describe its dynamic behaviors.To better perform the gas-liquid-solid three-phase simulations,a coupling code based on GPU named as CoSim-FVDEM is developed,which combines the finite volume method(FVM)and the discrete element method(DEM).This code encompasses unresolved,resolved and resolved-unresolved coupling methods,making it suitable for three-phase flow simulations involving solid particles of various sizes.A series of cases are conducted to validate the accuracy of the developed coupling algorithm,including complex dam breach flow,water entry test of a single sphere and multi-sphere within rotating roller.Finally,a gas-liquid-solid three-phase flow numerical experiment is performed,which involves the bi-disperse granular systems in a rotating roller.Base on the numerical results,the dynamic behaviors of the three-phase flow are analyzed and the computational efficiency is evaluated.The results indicate that the developed coupling code can better be used for the dynamic analysis of large-scale gas-liquid-solid three-phase flow.
文摘在采用计算流体力学−离散元耦合方法(computational fluid dynamics-discrete element method,CFD-DEM)进行固液两相耦合分析时,颗粒计算时间步的选取直接影响到耦合计算精度和计算效率.为此,本文选取每个目标颗粒为研究对象,引入插值函数计算时间步的运动位移,构建可变空间搜索网格;通过筛选可能碰撞颗粒建立搜索列表,采用逆向搜索方式判断碰撞颗粒,从而提出一种改进的DEM方法(modified discrete element method,MDEM).该算法在颗粒群与流体耦合计算中,颗粒计算初始时间步选取不受颗粒碰撞时间限制,通过自动调整和修正实现大步长,由颗粒和流体耦合条件实时更新流体计算时间步,使颗粒计算时间步选取过小导致计算效率低、选取过大导致颗粒碰撞漏判的问题得以解决,为颗粒与流体耦合的数值模拟提供了行之有效的计算方法.通过两个颗粒和多个颗粒的数值模拟,得到的颗粒间碰撞力、碰撞位置及次数,与理论计算结果的相对误差均低于2%,与传统的DEM碰撞搜索算法相比,在选取的3种计算时间步均不会影响计算精度,且有较高的计算效率.通过多个颗粒与流体的耦合数值模拟,采用传统的CFD-DEM方法,只有颗粒计算时间步选取10^(−6)s或更小才能得到精确解,而采用本文方法取10^(−4)s也能够得到精确解,避免了颗粒碰撞随时间步增大而出现的漏判问题,且计算耗时降低了16.7%.
文摘针对油浸式电力变压器瞬态温升计算效率过低的问题,该文提出本征正交分解-αATS(proper orthogonal decomposition-adaptive time stepping based onαfactor,POD-αATS)降阶自适应变步长瞬态计算方法。首先,推导变压器绕组瞬态温升计算的有限元离散方程;其次,采用POD降阶算法改善传统瞬态计算中存在的条件数过大及方程阶数过高的问题;同时对于瞬态计算中的时间步长选择问题,提出适用于非线性问题的αATS变步长策略;然后,为验证方法的有效性,基于110 kV油浸式电力变压器绕组的基本结构建立二维八分区数值计算模型,同时将计算结果与基于110 kV绕组的温升实验结果进行对比。数值计算及实验结果表明,所提算法与全阶定步长算法在流场和温度场中的精度几乎相同,且流场计算效率提升约45倍,温度场计算效率提升约38倍,计算速度得到显著提高。这一点在温升实验中同样得到验证,说明该文所提算法的准确性、高效性及一定的工程实用性。
