Challenge

Simulation of Cyclone separator with Discrete Phase Modelling

Aim: Simulation of Cyclone separator with Discrete Phase Modelling
Introduction:
Cyclone separator
Cyclone separators or simply cyclones are separation devices that use the principle of inertia to remove particulate matter from the flue gases. Cyclone separators is one of many air pollution control devices known as pre-cleaners since they generally remove larger pieces of particulate matter. This prevents finer filtration methods from having to deal with large, more abrasive particles later on. In addition, several cyclone separators can operate in parallel, and this system is known as a multi-cyclone.

It is important to note that cyclones can vary drastically in their size. The size of the cyclone depends largely on how much flue gas must be filtered, thus larger operations tend to need larger cyclones. For example, several different models of one cyclone type can exist, and the sizes can range from a relatively small 1.2-1.5 meters tall (about 4-5 feet) to around 9 meters (30 feet)—which is about as tall as a three-story building!.

How it works

Cyclone separators work much like a centrifuge, but with a continuous feed of dirty air. In a cyclone separator, dirty flue gas is fed into a chamber. The inside of the chamber creates a spiral vortex, similar to a tornado. The lighter components of this gas have less inertia, so it is easier for them to be influenced by the vortex and travel up it. Contrarily, larger components of particulate matter have more inertia and are not as easily influenced by the vortex.

Since these larger particles have difficulty following the high-speed spiral motion of the gas and the vortex, the particles hit the inside walls of the container and drop down into a collection hopper. These chambers are shaped like an upside-down cone to promote the collection of these particles at the bottom of the container. The cleaned flue gas escapes out the top of the chamber.

Most cyclones are built to control and remove particulate matter that is larger than 10 micrometers in diameter. However, there do exist high-efficiency cyclones that are designed to be effective on particles as small as 2.5 micrometers. As well, these separators are not effective on extremely large particulate matter. For particulates around 200 micrometers in size, gravity settling chambers or momentum separators are a better option.

Out of all of the particulate-control devices, cyclone separators are among the least expensive. They are often used as a pre-treatment before the flue gas enters more effective pollution control devices. Therefore, cyclone separators can be seen as "rough separators" before the flue gas reaches the fine filtration stages.

Effectiveness

Cyclone separators are generally able to remove somewhere between 50-99% of all particulate matter in the flue gas. How well the cyclone separators are actually able to remove this matter depends largely on particle size. If there is a large amount of lighter particulate matter, fewer of these par0ticles are able to be separated out. Because of this, cyclone separators work best on flue gases that contain large amounts of big particulate matter.

There are several advantages and disadvantages to using cyclone separators. First, cyclone separators are beneficial because they are not expensive to install or maintain, and they have no moving parts. This keeps maintenance and operating costs low. Second, the removed particulate matter is collected when dry, which makes it easier to dispose of. Finally, these units take up very little space. Although effective, there are also disadvantages in using cyclone separators. Mainly because the standard models are not able to collect particulate matter that is smaller than 10 micrometers effectively and the machines are unable to handle sticky or tacky materials well.

Empirical models used to calculate the cyclone separator efficiency

Iozia and Leith Model
Iozia and Leith's logistic model is a modified version of the Barth 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, Z, and a flow resistance, W. The collection efficiency ηi of particle diameter dpi can be calculated from
β is an expression for slope parameter derived based on the statistical analysis of experimental data of a cyclone with D =0.25 m given as
Li and Wang Model
The Li and Wang 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. Li and Wang's model was developed based on the following assumptions:
• The radial particle velocity and the radial concentration profile are not constant for uncollected particles within the cyclone.
• Boundary conditions with the consideration of turbulent diffusion coefficient and particle bounce re-entrainment on the cyclone wall are:

•The tangential velocity is related to the radius of the cyclone by u Rn= constant.
The concentration distribution in a cyclone is given as:

Where,

and,

The resultant expression of the collection efficiency for the particle of any size is given as

Koch and Licht Model
Koch and Licht's collection theory recognized the inherently turbulent nature of cyclones and the distribution of gas residence times within the cyclone. Koch and Licht described 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 uRn= constant
Lapple Model
Lapple 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. The semi-empirical relationship developed by Lapple [1] to calculate a 50% cut diameter, dpc, is

where Ne is the number of revolutions

Model Set up

Model

Mesh

Global mesh size 9mm

Body fitted cartesian element size 5.2623mm

Total no of elements - 140494

Nodes - 153908

Solver and Turbulence model

Turbulance model - Kepsilon/RNS/swirl dominated flow

solver - steady-state/pressure based with gravity acting on the y-axis (-9.81)

Discrete phase model

Injections

Boundary Conditions

Inlet and wall:- Reflect

Outlet(Top):- Escape

Outlet(Bottom/dustbin) - Trap

Number of iteration 1000

Part 1

The velocity of particle kept constant at 3m/s and particle size is varied

Case 1

Particle size 5e-6m

Residual

Anthracite Particle time

Pressure Drop

Case 2

Particle size 3e-6m

Residual

Anthracite Particle time

Pressure drop

Case 3

Particle size 1m/s

Residual

Anthracite Particle time

Pressure drop

Tabulation

Particle Size 5e-6 3e-6 1e-6
Number tracked 190 190 190
Trapped 153 145 124
Escaped 37 45 63
Incomplete 0 0 3
Efficiency 0.80 0.76 0.65

Pressure Drop = 28.87-2.64 = 25.23 Pa

Part 2

Keeping Particle size constant at 5e-6m and changing velocities of particle and continuous flow

Case 1

Velocity of Particle and Continuous-flow = 5 m/s

Residual

Anthracite Particle time

Pressure Drop

Case 2

Velocity of Particle and Continuous-flow = 3 m/s

Residual

Anthracite Particle Time

Pressure Drop

Case 3

Velocity of Particle and Continuous-flow = 1 m/s

Residual

Anthracite Particle Time

Pressure Drop

Tabulation

Velocity in m/s 5 3 1
Number Tracked 190 190 190
Trapped 156 154 26
Escaped 34 36 48
Incomplete 0 0 112
Efficiency 0.82 0.81 0.13

videos of Simulations

Part 1

Part 2

Conclusions:

Continuous Flow and particle velocity kept constant 3m/s

Particle size kept constant 5e-6m

The most important economical parameters of a cyclone separator are separation efficiency and pressure drop. Generally, the increase of gas inlet velocity will increase the separation efficiency, but it will also increase the pressure drop. This is supported by the above graphs and tabulation.

The pressure drop across the cyclone is of much importance in a cyclone separator. The pressure drop significantly affects the performance parameters of a cyclone. The total pressure drop in a cyclone will be due to the entry and exit losses, and friction and kinetic energy losses in the cyclone. Pressure drop increases with the inlet gas velocity, efficiency can be enhanced with the increase of inlet gas velocity.

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