Effect of β‐Value on the Head and Tail Distribution of the Upper and Lower Phases in Helical Coils

Abstract

To fully understand the motion of a point P mounted on a coil of a J‐type centrifuge countercurrent chromatograph (CCC) requires the position, acceleration, and velocity to be known for any time t. The equations that determine the position and acceleration are well known, but the equation of the velocity is not. This paper derives the equations of velocity in the radial and tangential directions completing the description of the motion of the point P.

These equations show that the absolute velocity for a β‐value of 0.5 is zero at the proximal key node. This β‐value may act as an important division in the hydrodynamics of CCC as the β‐value of 0.25 does. To date, the study of the hydrodynamics of CCC has been divided into two regions: that with β‐values between 0 and 0.25 and everything above a β‐value of 0.25. This new division may create a third region of hydrodynamic behaviour. The three β‐value regions being: 0 and 0.25, between 0.25 and 0.5 and, finally, above 0.5. This paper provides experimental results showing how the head‐tail relationship for hydrophobic, intermediate, and hydrophilic phase systems change at a β‐value of 0.5 with a possible explanation.

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