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
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
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.
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%.
