自抽连续离心技术的研究——3.流量与转速关系的理论推导  

Self-Pumqing Continuous-Flow Centrifugation-Ⅲ.Theoretical Derivations of the Relationship between Flowrate and Rotating Speed

作　　者：De Maeyer Leo 金绿松[2] 

机构地区：[1]马普学会生物物理化学研究所 [2]中国科学院生物物理研究所

出　　处：《长春光学精密机械学院学报》1990年第3期5-11,共7页Journal of Changchun Institute of Optics and Fine Mechanics

摘　　要：本文的理论推导表明,在自抽连续流动中流量是随转速升高而增大,转速在某一临界值以上流量独立于转速。流量取决于液体特性,进液管与甩液管几何形状以及转速。这些结果与前文的实验研究结果一致。与实验(值实验范围为甩液管长50—90mm,转速1400—7000rpm)相比,误差约10％以内,比前文中经验公式大一些。本文结果对分析流量与转速关系有指导意义。在有关机械(如离心机)设计中与前文结果一起使用,可得到更好的效果。The theoretical derivations show that flowrate increases with increasing rotor speed,and it becomes independent from rotor speed above a critical speed.Flowrate depends on the property of liquid, geometry of the horizontal and the vertical tube,and rotating speed. These results agree with the previous experimental study by the author. Agreement with experimental data is in 10％ which is poorer than that of experimental study,in the range of our experiments(rotor speed 1400-7000 rpm,ejection horizontal tube length 5—9cm).Following cases are discussed here:(1).the horizontal tube is full of liquid,(2). the inner part of the horizontal tube is full of liquid,but the outer part is of air,(3).the horizontal tube is wide enough that there always remains an air connection between the axial part of the vertical tube and the exit of the horizontal tube.The equations are simplified by introducing a dimensionless parameter b=ω/ω) crit and a limiting flowrate Q_ ,giving the flowrate as a function of b, for b<1, for b≤1, for b>1, The calculations for some simple geometries show three distinct effects,which comfirmed by our experiments,determining theflowrate as a function of rotating speed.Friction limited flow leads to a qua dratic relation between Q and ω.Acceleration limited flowresults in a linear relation between Q and ω,finally,there is a region where Q is independent of ω.The calculations are helpful for underst anding the self-suction continuou-flow behaviour.The practical use(e,g.for centrifuge design)of this paper together with the previous experimental study is recommended.

关 键 词：流量 自抽连续流动 离心器 

分 类 号：TD455[矿业工程—矿山机电]