Week 8 - Simulating Cyclone separator with Discrete Phase Modelling

Emprical models to calculate Cyclone Separator Efficiency

IOZIAAND LEITH MODEL

Iozia and Leith (1990) logistic model is a modified version of Barth (1956) model which is developed based on force balance. The model assumes that a particle carried by the vortex endures the influence of two forces: a centrifugal force and a flow resistance

LI AND WANG MODEL

The Li and Wang (1989) model includes particle bounce or re-entrainment and turbulent diffusion at the cyclone wall. A two-dimensional analytical expression of particle distribution in the cyclone is obtained

KOCH AND LICHTMODEL

Koch and Licht (1977) collection theory recognized the inherently turbulent nature of cyclones and the distribution of gas residence times within the cyclone. Koch and Licht describe particle motion in the entry and collection regions with the additional following assumptions:

The tangential velocity of a particle is equal to the tangential velocity of the gas flow, i.e., there is no slip in the tangential direction between the particle and the gas.

The tangential velocity is related to the radius of cyclone by: = constant.

LAPPLE MODEL

Lapple (1951) model was developed based on force balance without considering the flow resistance. Lapple assumed that a particle entering the cyclone is evenly distributed across the inlet opening. The particle that travels from inlet half width to the wall in the cyclone is collected with 50% efficiency.

Part 1 - 5 micron - 3 m/s

Cyclone Separator Efficiency = 51.64 %

Pressure Drop = 5.669439 Pa

Part 2 - 5 micron - 1m/s

Cyclone separator Efficiency = 25.27 %

Pressure Drop = 0.6886 Pa

Part 3 - 5 micron - 2m/s

Cyclone separator Efficiency = 28.57 %

Pressure Drop - 2.77 Pa

Part 4 - 5 Micron - 4 m/s

Cyclone eparator Efficiency = 40.65 %

Pressure DRop = 10 .57 Pa

Part 5 - 5 micron - 5 m/s

Cyclone eparator Efficiency = 32.96 %

Pressure DRop = 17 .43 Pa

Part 6 - 4 micron - 3 m/s

Cyclone separator efficiency = 49.45 %

Pressure drop = 5.66 Pa

Part - 3micron - 3m/s

Cyclone Separator Efficiency = 51.64

Part - 2micron - 3m/s

Cyclone Separator Efficiency = 54.94 %

Part - 1micron - 3m/s

Cyclone Separator Efficiency = 51.64 %