The basic concept of Hydrocyclone is to separate solids, liquids from mixture of Solid-liquid, liquid-liquid simultaneously. The separation is depending on the Density and particle size of the Solids.
The Separation action of hydrocyclones is based on the effect of Centrifugal forces created within the cyclone body. In contrast to sedimenting centrifuges, however, hydrocyclones have no rotating parts and the necessary vortex is produced by pumping the fluid tangentially into a stationary cono-cylindrical body.
In principle, however, each hydrocyclones separates particles of the dispersed phase (usually heavy) from the liquid (continuous phase) on the basis of density difference between the phases and the separation depends heavily on particle size. The selection is made on the basis of required flow capacity Q and a given particle size (micron).
Method Based on Bradley (1965) & Rietema (1961) research work:
Constant | Bradley | Reitema |
---|---|---|
Kp | 446.5 | 316 |
Np | 0.323 | 0.314 |
Stk50.Eu | 0.1111 | 0.0611 |
D(4+Np) = ( 4Q/Π )(2+Np) (ρ/μ)Np (Kp.ρ/2ΔP)
Where,
D= Diameter of Hydrocyclone (m)
Q= Flow rate (m3/s)
ρ= Liquid density (kg/m3)
µ= Liquid Viscosity (Ns/m2)
Stk50.Eu= Constant (Unitless)
Bradley | Reitema | |
---|---|---|
Di/D | 0.133 | 0.28 |
Where Di = Internal Diameter
D = Hydrocyclone Diameter
Bradley | Reitema | |
---|---|---|
Do/D | 0.20 | 0.34 |
Do = Overflow Diameter
Bradley | Reitema | |
---|---|---|
l/D | 0.33 | 0.0.4 |
Where l = Length of Vortex finder.
Bradley | Reitema | |
---|---|---|
L/D | 6.85 | 5 |
Where L = Total length of Hydrocyclone.
Next step is to calculate the particle Cut size by using the below mentioned formula.
X2 50 = (Stk50.Eu x 36 x Ρ x µ x Q) / (π x ΔP x Δρ x D)
The above described trial and error can be avoided by substitution of Q/N for Q in both equations above, and their simultaneous solution for cyclone diameter D and number of cyclones in parallel N.