Angular velocity, centrifugal separation

In a centrifugal field the energy per mole at a distance r from the axis is M(cor2)/2. M is molecular weight and go angular velocity. The ratio of partial pressures for two isotopomers (primed and unprimed) at the wall, rw, and on the axis, ro, yields the elementary separation factor. 

In the case of a centrifugal separator (i.e., a centrifuge), the acceleration due to centrifugal force, which should be used in place ofg, is given as ra>, where r is the radial distance from the central rotating axis (m) and co is the angular velocity of rotation (radian s -). Thus, the terminal velocity Vj (ms ) is given as... 

Notation. As used for isotope separation, the gas centrifuge is a cylinder of radius a and length L, rotating about a vertical axis with angular velocity u rad/s. Cylindrical polar coordinates are used, with the following notation for position and velocity components ... 

The flow geometry assumed is illustrated in Fig. 14.21. The gas mixture is assumed to be rotating at uniform angular velocity co in a semicircular groove of radius a. Centrifugal equilibrium is established where the mixture is separated by the flow divider at radius c into an iimer, light fraction enriched in hydrogen and Fs and an outer, heavy fraction depleted in these components relative to UF. ... 

Figure 14.27 Variation of separative capacity with peripheral speed and cut for centrifugal equilibrium at constant angular velocity.

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