工程科学学报，第39卷.第10期：1507-1511,2017年10月 Chinese Journal of Engineering,Vol.39,No.10:1507-1511,October 2017 DOI:10.13374/j.issn2095-9389.2017.10.007;http://journals.ustb.edu.cn 基于循环系统的膏体浓密机底流调控及其数学模型 杨柳华12)，王洪江12)，吴爱祥12)，张连富)，陈辉) 1)北京科技大学土木与环境工程学院，北京1000832)金属矿山高效开采与安全教育部重点实验室，北京100083 3)中国黄金协会，北京100083 ☒通信作者，E-mail:yanghuarong2014@ycah.net 摘要为了保证浓密机在高料位下不压粑，一般通过增设循环系统使料浆始终处于活化状态，降低耙架运行阻力.然而， 目前循环参数对底流的影响规律不明确，造成系统的设计及应用缺乏科学依据，为此开展了循环参数对底流的调控研究.分 析循环系统的作用原理，将循环系统作用范围划分为两大区域，揭示循环参数对底流的调控机制，运用微积分原理对区域内 的底流体积分数变化进行求解，最终建立浓密机底流调控数学模型.最后，利用该模型对底流循环实验参数进行验证.研究 结果表明：开启底流循环后，底流体积分数开始降低并最终趋于稳定，底流体积分数差随着循环流量及循环高度增大而增大， 体积分数变化幅度为0.7%~2.2%，稳定所需时间随流量及高度增加而减小.该理论模型完全吻合验证结果函数，为循环系 统的设计及运行提供理论依据. 关键词浓密机；底流；调控机制；循环参数；数学模型 分类号TD853 Regulation and a mathematical model of underflow in paste thickeners based on a cir- cular system design YANG Liu-hua2),WANG Hong-jiang),WU Ai-xiang'2),ZHANG Lian-fu),CHEN Hui) 1)School of Civil and Environmental Engineering,University of Science and Technology Beijing,Beijing 100083,China 2)Key Laboratory of High-Efficient Mining and Safety of Metal Mines (Ministry of Education),Beijing 100083.China 3)China Gold Association,Beijing 100083,China Corresponding author,E-mail:yanghuarong2014@yeah.net ABSTRACT To assure that compression on the rakes of a deep corn thickener does not stop mixing,an additional circular slurry system,which activates slurry all the time,is employed and running resistance is usually decreased.However,there is still uncertain- ty on how circular parameters affect underflow properties.This means that the design and application of such systems lack support from scientific theories.Hence,it is necessary to create a study on how circular parameters regulate underflow parameters.Analysis of the circular system mechanism shows that its effect can be divided into two parts and the effect of the system on underflow properties is clarified.In addition,the value of underflow concentration in thickeners is solved based on calculus and finally a mathematical model is produced,which simulates the regulation of underflow properties in thickeners.Using the model,the circular parameters of under- flow in thickeners are verified.The experiment indicates that the solid concentration of underflow decreases with circular underflow ini- tiation,then tends to stabilize.Also,the volume fraction of underflow increases in the range of 0.7%-2.2%with ascending circular flow and height.In addition,the time necessary for the solid concentration to stabilize is reversely affected by underflow flow and height.The regression function obtained from experimental statistics shows excellent performance in the model when designing and ana- lyzing circular systems for thickeners. KEY WORDS thickener;underflow;regulation mechanism;circular parameters;mathematical model 收稿日期：2017-03-16工程科学学报,第 39 卷,第 10 期:1507鄄鄄1511,2017 年 10 月 Chinese Journal of Engineering, Vol. 39, No. 10: 1507鄄鄄1511, October 2017 DOI: 10. 13374 / j. issn2095鄄鄄9389. 2017. 10. 007; http: / / journals. ustb. edu. cn 基于循环系统的膏体浓密机底流调控及其数学模型 杨柳华1,2) , 王洪江1,2) 苣 , 吴爱祥1,2) , 张连富1) , 陈 辉3) 1) 北京科技大学土木与环境工程学院, 北京 100083 2) 金属矿山高效开采与安全教育部重点实验室, 北京 100083 3)中国黄金协会, 北京 100083 苣 通信作者, E鄄mail: yanghuarong2014@ yeah. net 摘 要 为了保证浓密机在高料位下不压耙,一般通过增设循环系统使料浆始终处于活化状态,降低耙架运行阻力. 然而, 目前循环参数对底流的影响规律不明确,造成系统的设计及应用缺乏科学依据,为此开展了循环参数对底流的调控研究. 分 析循环系统的作用原理,将循环系统作用范围划分为两大区域,揭示循环参数对底流的调控机制,运用微积分原理对区域内 的底流体积分数变化进行求解,最终建立浓密机底流调控数学模型. 最后,利用该模型对底流循环实验参数进行验证. 研究 结果表明:开启底流循环后,底流体积分数开始降低并最终趋于稳定,底流体积分数差随着循环流量及循环高度增大而增大, 体积分数变化幅度为 0郾 7% ~ 2郾 2% ,稳定所需时间随流量及高度增加而减小. 该理论模型完全吻合验证结果函数,为循环系 统的设计及运行提供理论依据. 关键词 浓密机; 底流; 调控机制; 循环参数; 数学模型 分类号 TD853 Regulation and a mathematical model of underflow in paste thickeners based on a cir鄄 cular system design YANG Liu鄄hua 1,2) , WANG Hong鄄jiang 1,2) 苣 , WU Ai鄄xiang 1,2) , ZHANG Lian鄄fu 1) , CHEN Hui 3) 1) School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China 2) Key Laboratory of High鄄Efficient Mining and Safety of Metal Mines (Ministry of Education), Beijing 100083, China 3) China Gold Association, Beijing 100083, China 苣 Corresponding author, E鄄mail: yanghuarong2014@ yeah. net 收稿日期: 2017鄄鄄03鄄鄄16 ABSTRACT To assure that compression on the rakes of a deep corn thickener does not stop mixing, an additional circular slurry system, which activates slurry all the time, is employed and running resistance is usually decreased. However, there is still uncertain鄄 ty on how circular parameters affect underflow properties. This means that the design and application of such systems lack support from scientific theories. Hence, it is necessary to create a study on how circular parameters regulate underflow parameters. Analysis of the circular system mechanism shows that its effect can be divided into two parts and the effect of the system on underflow properties is clarified. In addition, the value of underflow concentration in thickeners is solved based on calculus and finally a mathematical model is produced, which simulates the regulation of underflow properties in thickeners. Using the model, the circular parameters of under鄄 flow in thickeners are verified. The experiment indicates that the solid concentration of underflow decreases with circular underflow ini鄄 tiation, then tends to stabilize. Also, the volume fraction of underflow increases in the range of 0郾 7% 鄄鄄2郾 2% with ascending circular flow and height. In addition, the time necessary for the solid concentration to stabilize is reversely affected by underflow flow and height. The regression function obtained from experimental statistics shows excellent performance in the model when designing and ana鄄 lyzing circular systems for thickeners. KEY WORDS thickener; underflow; regulation mechanism; circular parameters; mathematical model