Cyclones theoretical analysis

Once these first estimates for the geometric dimensions of the cyclone have been obtained, a full theoretical analysis of the fluid and particle motions in the cyclone may be performed using the theoretical models given in Section 13.2.1.2. A substantial use of the expression (13.26) for the collection efficiency should be employed so that an updated design of the geometry of the cyclone can be obtained. 

Bloor, M. I. G. and Ingham, D. B., Theoretical analysis of the conical cyclone . First European Conf. on Mixing and Centrifugal Separation (Cambridge, 1974), Paper E6, BHRA Fluid Engineering, Cranfield (1974)... 

The influence of the circulation mechanism (determined by k) on separation efficiency of gas-condensate mixtures has been studied theoretically in [45]. The methods of calculations of separators equipped by cyclones are considered in [45] as well. Section 19.2 contains a detailed analysis of these processes. 

Ideally it should be possible to predict simply from the fresh feed catalyst size analysis and a specific reactor and cyclone geometry how the bed analysis and reactor losses will change with time and how these will converge to an equilibrium. If attrition were not a significant factor it is obvious that the addition of fresh make-up catalyst coarser than the losses would cause the bed size distribution to become continually coarser until theoretically losses would be reduced to zero. 

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