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# Cyclone design

## Step by step design guide and cyclone shortcut calculation tool

Section summary
1. Introduction
2. Applications of cyclones
3. Cyclone Standard Geometry
4. Cyclone Step by Step design guide
5. Cyclone design Excel calculation tool

## 1. Introduction

### Cyclones and their design

There are different processes for collecting the dust in a gas stream (see global overview here), among them, cyclones are probably one of the most widespread solution, in any industry. They are fairly simple from a mechanical point of view and therefore generally provide a cost effective solution. However, assessing the performance of a cyclone and designing a new equipment for a particular application is not always well understood and only partial literature is often found. The objective of this page is to provide a step by step approach to cyclone design. This can be sufficient to check quickly the performance of an existing cyclone or during pre-design, one should however reckon that the methodology below is not suited for detailed design which should be carried out with a reputable supplier which will likely have refined the original calculation codes provided in literature and made them more precise. One should also remark that the method given is only one among several published models which may have different accuracy.

## 2. Applications of cyclones

### Where are used cyclones ?

Cyclones are particularly used in the following applications :

- Plastics : after transport of pellets, to catch plastic dust

- Wood industry : to collect dust from sawmills

- Chemicals : to collect dust from a process or at the end of a pneumatic conveying line to control emissions

- Agriculture : to dedust the air used to convey material to a silo

## 3. Cyclones standard geometry

### What are the standard dimensions of cyclones ?

Cyclones efficiency is directly related to their geometry, which has been the object of various research. From these research papers, a set of STANDARD dimensions have been defined. Those dimensions, or rather proportions, constitute the basis of most of the design across the industry. It is recommended to keep those standard configurations, or some adaptation by reputable suppliers, and not modify it. Specific design can still be developed for specific high value applications (FCC for example) but it goes beyond the methodology presented here, requiring modelization, pilot trials...etc...

The table below is due to Koch and Licht (1977) and is summarizing the work of different authors (Lapple, Stairmand...)

Table  1 : Standard cyclone geometries for a tangential inlet

All the dimensions of the cyclones are related to the diameter Dc. A standard geometry is then selected and the diameter Dc is adjusted to get the desired performance.

Figure  1 : Cyclone drawing and nomenclature of characteristic geometry

## 4. Cyclones step by step design guide

### How to design cyclones ?

This design guide is based on the works published by Bohnet in 1997. The approach is valid for standard cyclones with squared tangential inlets and with a small dust load in the order of max 10 g/m3. For different types of inlet or higher dust loads, some corrections are necessary.

Validity of the model : as mentionned above it is a good model for estimating the performance of a cyclone in basic design or troubleshooting but gives errors up to 40% vs experiments, depending on the conditions, thus detail calculations should be done with the help of a company specializing in cyclone design and having improved the calculation code.

### 4.1 Calculate K ratios

If you design a new cyclone, chose one of the standard geometry in table 1 and assume a diameter Dc. If you test an existing cyclone, determine the different ratios for the actual equipment you are evaluating.

K ratios : KH, KB, KS, Ki, KL, KZ, KD from table 1 or actual cyclone dimension

### 4.2 Calculate the following geometrical dimensions

With :
Ae = product inlet section area (m2)
Ai = gas outlet section area (m2)
Ri = radius of gas outlet pipe (m)
re = average radius of the fluid vein (m)
Af = area of friction of powder on the sides of the cyclone (m2)
KB = BC/Dc
KH = HC/Dc
Ki = Di/Dc
KL = Lc/Dc
KZ = Zc/Dc
KS = Sc/Dc
Dc = diameter of the cyclone (m)

### 4.3 Calculate inlet and outlet velocities

With :
Vc = volumetric flow of the continuous phase (gas) (m3/s)
uCe =inlet velocity (m/s)
uCi =outlet velocity (m/s)
Ki = Di/Dc
KB = BC/Dc
KH = HC/Dc
Dc = diameter of the cyclone (m)

### 4.4 Calculate friction coefficients

With :
Ce = coefficient of contraction at inlet
Ki = Di/Dc
KB = BC/Dc
KH = HC/Dc
uCe =inlet velocity (m/s)
uCC =cyclone walls velocity (m/s)
Rec = Reynolds number
μc = viscosity of the continuous phase (gas) (Pa.s)
Dc = diameter of the cyclone (m)
ρc = density of the continuous phase (kg/m3)
Cf = friction coefficient

### 4.5 Calculate the characteristics velocities

With :
uCri = gas velocity at the radius Ri (m/s)
Vc = volumetric flow of the continuous phase (gas) (m3/s)
Ki = Di/Dc
KL = Lc/Dc
KZ = Zc/Dc
KS = Sc/Dc
Dc = diameter of the cyclone (m)
uCθi = (m/s)
uCi =outlet velocity (m/s)
Ce = coefficient of contraction at inlet
Ae = product inlet section area (m2)
Ai = gas outlet section area (m2)
Ri = radius of gas outlet pipe (m)
re = average radius of the fluid vein (m)
Cf = friction coefficient
Af = area of friction of powder on the sides of the cyclone (m2)

### 4.6 Calculate the cut off diameter

Particles having a diameter equal to the cut off diameter are captured with an efficiency of 50%. It means that the cyclone will capture 50% of the particles having this diameter in the gas stream and will let through the other 50%.

With :
uCri = gas velocity at the radius Ri (m/s)
μc = viscosity of the continuous phase (gas) (Pa.s)
Ki = Di/Dc
Dc = diameter of the cyclone (m)
Δρ = difference in densities (kg/m3)
uCθi = (m/s)

### 4.7 Calculate the efficiencies

The efficiencies are calculated relatively to the cut off diameter. Bigger particles will lead better efficiencies. Smaller particles to lower efficiencies. A factor Г is used in the calculation and is usually in the order of 3 (+/- 1).

di = particle of diameter i for which the efficiency is calculated (m)
dc = cut off diameter (m)

### 4.8 Calculate the pressure drop

With :
ΔPc = cyclone pressure drop (Pa)
ξc = total pressure drop coefficient of the cylone
ξce = pressure drop coefficient in the inlet and inside the cyclone
ξci = pressure drop coefficient in the outlet of the cyclone
Cfi = 0.70 to 0.75

## 5. Cyclone design Excel calculation tool

A simplified version of the calculation tool can be found here - a more complete tool will be developped soon. Note that this tool cannot be used for detail design as stated in the file, always link with a commercial company to confirm the design.

Sources

Bohnet 1997