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Purposes of mineral industry
• Sizing or Classifying: to separate particles by size, usually to provide a
downstream unit process with the particle size range suited to that unit
operation.
• Scalping: to remove the coarsest size fractions in the feed material, usually so
that they can be crushed or removed from the process.
• Grading: to prepare a number of products within specified size ranges. This is
important in quarrying and iron ore, where the final product size is an
important part of the specification.
• Media recovery: for washing magnetic media from ore in dense medium
circuits.
• Dewatering: to drain free moisture from a wet sand slurry.
• Desliming or de-dusting: to remove fine material, generally below 0.5 mm
from a wet or dry feed; and
• Trash removal: usually to remove wood fibres from a fine slurry stream.
Performance of screen
• In its simplest form, the screen is a surface having many apertures, or holes, usually
with uniform dimensions. Particles presented to that surface will either pass
through or be retained, according to whether the particles are smaller or larger than
the governing dimensions of the aperture. The efficiency of screening is determined
by the degree of perfection of separation of the material into size fractions above
or below the aperture size.
• There has been no universally accepted method of defining screen performance
and a number of methods are employed. The most common screen performance
criteria are those which define an efficiency based on the recovery of material at a
given size, or on the mass of misplaced material in each product. This immediately
leads to a range of possibilities, such as undersize in the over screen product,
oversize in the through-screen product, or a combination of the two.
• An efficiency equation can be calculated from a mass balance across a screen as
follows:
• The mass balance on the screen is: F = C+U (1)
• The mass balance of the oversize material is: Ff = Cc+Uu (2)
• and the mass balance of the undersize material is: F (1-f) = C(1-c)+U(1-u) (3)
• Hence, (4)
• and (5)
• The recovery of oversize material into the screen overflow is:
(6)
• Consider a screen (Figure) the feed to which is F t h-1. Two products are
generated. A coarse product of C t h-1 overflows from the screen, and a
fine product of U t h-1 passes through the screen.
• Let f be the fraction of material above the cut point size in the feed; c be
the fraction of material above the cut point size in the overflow; and u be
the fraction of material above the cut point size in the underflow. f, c,
and u can be determined by sieving a representative sample of each of
the fractions on a laboratory screen of the same aperture size as the
industrial screen and assuming this to be 100% efficient.
• and the corresponding recovery of undersize material in the screen underflow is:
• (7)
• These two relationships (6) and (7), measure the effectiveness of the screen in separating
the coarse material from the underflow and the fine material from the overflow.
• A combined effectiveness, or overall efficiency, E, is then obtained by multiplying the two
equations together:
• (8)
• For screens where the aperture and the cut point are similar (and if there are no
broken or deformed apertures), the amount of coarse material in the underflow is
usually very low. A simplification of Equation 8 can be obtained by assuming that it
is, in fact, zero (i.e., u = 0), in which case the formula for fines recovery and that for
the overall efficiency both reduce to:
Factors affecting screen performance
• The process of screening is frequently described as a series of probabilistic events, where particles are
presented to a screening surface many times, and on each presentation there exists a given probability
that. In its simplest form, the probability of passage for a single spherical particle size d passing a a
particle of a given size will pass square aperture with a size x bordered by a wire diameter w in a single
event is given by the Gaudin (1939) equation:
• or given that the fraction of open area fo is defined as x2/(x + w)2:
• The probability of passage for n presentations is calculated by:
• Screening performance is therefore affected by factors that influence the probability of particle
passage, and factors that influence the number of opportunities the particles are given to pass through
the screen mesh.
•Feed Rate
•Screen Angle
•Particle Shape
•Open Area
•Vibration
•Moisture
Feed Rate
• The principle of sieve sizing analysis is to use a low feed rate and a very
long screening time to effect an almost complete separation.
• In industrial screening practice, economics dictate that relatively high feed
rates and short particle dwell times (The period of time that a system or
element of a system remains in a given state) on the screen should be used.
At these high feed rates, a thick bed of material is presented to the screen,
and fines must travel to the bottom of the particle bed before they have an
opportunity to pass through the screen surface.
• The net effect is reduced efficiency. High capacity and high efficiency are
often opposing requirements for any given separation, and a compromise
is necessary to achieve the optimum result.
Screen Angle
• The Gaudin Equation assumes that the particle approaches the aperture
perpendicular to the aperture.
• If a particle approaches the aperture at a shallow (not deep or strong) angle, it
will "see" a narrower effective aperture dimension and near mesh particles are
less likely to pass.
• The slope of the screening surface affects the angle at which particles are
presented to the screen apertures.
• Some screens utilise this effect to achieve separations significantly finer than the
screen aperture. For example, sieve bends cut at approximately half the aperture
size. Where screening efficiency is important, horizontal screens are selected.
• The screen angle also affects the speed at which particles are conveyed along
the screen, and therefore the dwell time on the screen and the number of
opportunities particles have of passing the screen surface.
Particle Shape
• Most granular materials processed on screens are non-spherical.
• While spherical particles pass with equal probability in any orientation,
irregular-shaped near-mesh particles must orient themselves in an attitude
that permits them to pass.
• Elongated and slabby particles will present a small cross-section for passage
in some orientations and a large cross-section in others.
• The extreme particle shapes therefore have a low screening efficiency. Mica
(any of various minerals consisting of hydrous silicates of aluminum or
potassium etc. that crystallize in forms that allow perfect cleavage into very
thin leaves; used as dielectrics because of their resistance to electricity), for
instance, screens poorly on square aperture screens, its flat, plate like crystals
tending to "ride" over the screen apertures.
Open Area
• The chance of passing through the aperture is proportional to the percentage
of open area in the screen material, which is defined as the ratio of the net
area of the apertures to the whole area of the screening surface.
• The smaller the area occupied by the screen deck construction material, the
greater the chance of a particle reaching an aperture.
• Open area generally decreases with the fineness of the screen aperture.
• In order to increase the open area of a fine screen, very thin and fragile wires
or deck construction must be used.
• This fragility and the low throughput capacity are the main reasons for
classifiers replacing screens at fine aperture sizes.
Vibration
• Screens are vibrated in order to throw particles off the screening surface so that they can again be
presented to the screen, and to convey the particles along the screen.
• The fight type of vibration also induces stratification of the feed material (Figure 8.3), which allows
the fines to work through the layer of particles to the screen surface while causing larger particles
to rise to the top.
• Stratification tends to increase the rate of passage in the middle section of the screen (Soldinger,
1999).
• The vibration must be sufficient to prevent pegging and blinding.
• However, excessive vibration intensity will cause particles to bounce from the screen deck and be
thrown so far from the surface that there are very few effective presentations to the screen surface.
• Higher vibration rates can, in general, be used with higher feed rates, as the deeper bed of
material has a "cushioning" effect which inhibits particle bounce.
• Vibrating screens typically operate with a vibration force of between 3 and 7 times the
gravitational acceleration, or 3G-7G. Vibrations are induced by mechanical exciters driven by
electric motors or electrical solenoids in the case of high frequency screens. The power required is
small compared to other unit operations within the concentrator, and is approximately
proportional to the loaded mass of the screen.
Vibration
• The amount of surface moisture present in the feed has a marked effect on screening
efficiency, as does the presence of clays and other sticky materials.
• Damp feeds screen very poorly as they tend to agglomerate and "blind" the screen
apertures.
• As a rule of thumb, screening at less than around 5 mm aperture size must be performed
on perfectly dry or wet material, unless special measures are taken to prevent blinding.
• These measures may include using heated decks to break the surface tension of water
between the screen wire and particles, ball-decks (a wire cage containing balls directly
below the screening surface) to impart additional vibration to the underside of the screen
cloth, or the use of non-blinding screen cloth weaves.
• Wet screening allows finer sizes to be processed efficiently down to 250 μm and finer.
Adherent fines are washed off large particles, and the screen is cleaned by the flow of
pulp and additional water sprays.
Mathematical models of screens
phenomenological models that incorporate a theory of the
screening process
empirical models based on empirical data
numerical models based on computer solutions of
Newtonian mechanics
phenomenological models that incorporate a theory of the screening process
• Phenomenological models are based on the theory of particle passage through a
screening surface.
• The two dominant theories are probabilistic, treating the process as a series of
probabilistic events, and kinetic, treating the process as one or more kinetic rate
processes.
• The model by Whiten (1972) extends the theory developed by Gaudin (Equation)
to develop an efficiency curve model containing a single model parameter.
• The model by Ferrara and Preti (1975) describes rate of passage through the
screen as a function of the screen length. They proposed a zero-order rate of
passage for the heavily loaded section of the screen, followed by a first-order rate
governing the passage of particles in the lightly loaded section of the process.
Both of these models have been used extensively to model industrial screening
data.
empirical models based on empirical data
• Empirical or capacity models aim to predict the required area of screen and are frequently used by
screen manufacturers. There are a number of different formulations of these models. Most aim to
predict the quantity of undersize that can pass through the screen.
• Theoretical area required = (Total t h-1 undersize in feed) / (CF1F2F3 ….Fn)
• Where C- Base-line screen capacity in t/h of undersize per unit area. F1 to Fn, are correction factors.
• Common correction factors include corrections for the quantity of oversize (material larger than
the aperture), half-size (material less than half the aperture size), and near-size (material between
75 and 125% of the aperture size; the density of material being screened; whether the screen is a
top deck or a lower deck on a multi-deck screen; the open area of the screen cloth; whether square
or slotted apertures are used; whether wet-screening is employed; and the desired screening
efficiency.
• They have been developed for a specific type of screen: inclined circular stroke vibrating screens
using standard wire-mesh screen cloth. Because there are many other variables and many other
screen types and screening surfaces in use, accurate screen selection for a particular application is
best done by seeking advice from reputable equipment suppliers together with pilot-scale testing.
numerical models based on computer solutions of Newtonian mechanics
• Numerical computer simulations are being increasingly used to model the
behaviour of particles in various processing equipment including screens (Cleary,
2003); see Figure. It is expected that numerical simulation techniques such as the
Discrete Element Method (DEM) will gain wider application in the modelling of
industrial screens, and assist in the design and optimisation of new screening
machines.
Screen Types
Vibrating
screens
Inclined screens
Grizzly screens
Horizontal screens
Resonance screens
Dewatering screens
Banana screens
Modular screens
Mogensen sizers
High frequency
screens
Why vibrating screens are important?
Vibrating screens are the most important and versatile
screening machines for mineral processing applications
(Crissman, 1986). The success of the vibrating screen has
made many older screen types obsolete in the minerals
industry including shaking and reciprocating screens, details
of which can be found in Taggart (1945). Vibrating screens
have a rectangular screening surface with feed and oversize
discharge at opposite ends. They perform size separations
from 300mm in size down to 45 μm and they are used in a
variety of sizing, grading, scalping, dewatering, wet screening,
and washing applications. Vibrating screens of most types can
be manufactured with more than one screening deck. On
multiple-deck systems, the feed is introduced to the top
coarse screen; the undersize falling through to the lower
screen decks, thus producing a range of sized fractions from a
single screen.
Classification of Vibrating screens
Inclined screens
• Inclined or circular motion screens (Figure) are widely used as sizing screens.
• A vertical circular or elliptical vibration is induced mechanically by the rotation of
unbalanced weights or flywheels attached usually to a single drive shaft.
• The amplitude of throw can be adjusted by adding or removing weight elements
bolted to the flywheels.
• The rotation direction can be contra-flow (opposite direction) or in-flow.
• Contraflow slows the material more and permits more efficient separation, whereas
in-flow permits a greater throughput.
• Single-shaft screens must be installed on a slope, usually between 15° and 28° to
permit flow of material along the screen.
Grizzly screens
• Very coarse material is usually screened on an inclined screen called a grizzly screen.
• Grizzlies are characterised by parallel steel bars or rails (Figure) set at a fixed distance
apart and installed in line with the flow of ore.
• The gap between grizzly bars is usually greater than 50 mm and can be as large as 300
mm, with feed topsize as large as 1 m.
• Vibrating grizzlies are usually inclined at an angle of around 20° and have a
circularthrow mechanism. The capacity of the largest machines exceeds 5000 t h-1.
• The most common use of grizzlies in mineral processing is for sizing the feed to
primary and secondary crushers.
• If a crusher has a 100mm setting, then feed can be passed over a grizzly with a 100mm
gap in order to reduce the load on the crusher.
• The bars are typically made from wear-resistant manganese steel, and are usually
tapered to create gaps that become wider towards the discharge end of the screen to
prevent rocks from wedging between the bars.
Horizontal screens
• Horizontal low-head or linear vibrating screens (Figure) have a horizontal or
near-horizontal screening surface, and therefore need less headroom than
inclined screens.
• Horizontal screens must be vibrated with a linear or an elliptical vibration
produced by a double or triple-shaft vibrator.
• The accuracy of particle sizing on horizontal screens is superior to that on
inclined screens; however because gravity does not assist the transport of
material along the screen they have lower capacity than inclined screens
(Krause, 2005).
• Horizontal screens are used in sizing applications where screening efficiency
is critical, and in drain-and-rinse screens in heavy medium circuits.
RESONANCE SCREENS
• Resonance screens are a type of horizontal screen consisting of a
screen frame connected by rubber buffers to a dynamically balanced
frame having a natural resonance frequency which is the same as that
of the vibrating screen body.
• The vibration energy imparted (transmit ) to the screen frame is stored
up in the balancing frame, and re-imparted to the screen frame on the
return stroke.
• The energy losses are reduced to a minimum, and the sharp return
motion produced by the resonant action imparts a lively action to the
deck and promotes good screening.
DEWATERING SCREENS
• Dewatering screens are a type of vibrating screen that are fed
a thick slurry and produce a drained sand product.
• Dewatering screens are often installed with a slight up-hill
incline to ensure that water does not flow over with the
product.
• A thick bed of particles forms, trapping particles finer than the
screen aperture.
Banana screens
• Banana or Multi-slope screens have become widely used in high-tonnage sizing
applications where both efficiency and capacity are important.
• Banana screens (Figure) typically have a variable slope of around 40-30° at the feed end
of the screen, reducing to around 0-15° in increments of 3.5-5°.
• Banana screens are usually designed with a linear-stroke vibrator.
• The steep (of a slope; set at a high angle) sections of the screen cause the feed material
to flow rapidly at the feed end of the screen.
• The resulting thin bed of particles stratifies (form layers) more quickly and therefore has
a faster screening rate for the very fine material than would be possible on a slower
moving thick bed.
• Towards the discharge end of the screen, the slope decreases to slow down the
remaining material, enabling more efficient screening of the near-size material.
• The capacity of banana screens is significantly greater and is reported to be up to three
or four times that of conventional vibrating screens.
Modular screens
• Modular screens such as the OmniScreen (Figure 8.10), consist of two or
more independent screen modules arranged in series, effectively making a
large screen from a number of smaller units.
• A key advantage of this arrangement is that each screen module can be
separately configured with a unique screen slope, screen surface type,
vibration stroke, and frequency.
• This allows screening performance to be optimised separately on different
sections of the screen.
• The individual screen sections being smaller and lighter are mechanically
more robust compared with a single screen with an equivalent total size.
• Modular screens are frequently installed in a multi-slope configuration.
Mogensen sizers
• The Mogensen Sizer is a vibrating screen that uses the principle that particles smaller
than the aperture statistically require a certain umber of presentations to the screen in
order to pass.
• The Mogensen Sizer (Figure) consists of a system of oscillating and sloping screens of
decreasing aperture size, the smallest of which has a mesh size up to twice the size of
the desired separation size.
• This arrangement allows particles very much finer than the screens to pass through
quickly, but causing larger particles to be rejected by one of the screen surfaces.
• A thin layer of particles on each screen surface is maintained, enabling high capacity
such that a particular screening duty can be met with a machine occupying less floor
space than a conventional screen, and blinding and wear are reduced.
• The Mogensen 2000 Sizer is a similar device designed for fine separations,
incorporating direct rapping of the screen mesh rather than vibration of the entire
unit.
High frequency screens
• Efficient screening of fine particles requires a vibration with small amplitude and
high frequency.
• Frequencies up to 3600 rpm are used to separate down to 100 microns compared
with vibrating screens for coarser applications that are vibrated at around 700-
1200rpm.
• The vibration of the screening surface can be created by electric motors or with
electrical solenoids.
• In the case of the Tyler H-series (or Hum-mer) screen, the vibrators are mounted
above and connected by rods directly to the screening surface so that energy is not
wasted in vibrating the entire screen body.
• High-frequency wet screens such as the Derrick repulp screen permit screening
down to 45 microns.
• Screening efficiency decreases rapidly once the free water has passed through the
screen, therefore these screens incorporate water-sprays to periodically re-pulp the
screen oversize to ensure good washing.
• Circular motion (Single-shaft) screens. When the shaft of an inclined screen is located precisely at the
screen's centre of gravity, the entire screen body vibrates with a circular vibration pattern (Figure
8.6a). Occasionally, the shaft is installed above or below the centre of gravity as in the system shown
in Figure 8.6b. This placement results in an elliptical motion, slanting forward at the feed end; a
circular motion at the centre; and an elliptical motion, slanting backwards at the discharge end.
Forward motion at the feed end serves to move oversize material rapidly out of the feed zone to
keep the bed as thin as possible. This action facilitates passage of fines which should be completely
removed in the first one-third of the screen length. As the oversize bed thins down, near the centre
of the screen, the motion gradually changes to the circular pattern to slow down the rate of travel of
the solids. At the discharge end, the oversize and remaining near-size materials are subjected to the
increasingly retarding effect of the backward elliptical motion. This allows the near-size material
more time to find openings in the screen cloth.
• Linear-vibration (Double-shaft) screens. A linear vibration is induced by using mechanical exciters
containing matched unbalanced weights rotating in opposite directions on two shafts as shown in
Figure 8.6c. Linear stroke screens can be installed on a slope, horizontally or even on a small up-hill
incline. The angle of stroke is typically between 30 and 60° to the screen deck. Linear-vibration
exciters are used on horizontal screens and banana screens. Oval motion (Triple-shaft) screens. A
three-shaft exciter design can be used to generate an elliptical vibratory motion as shown in Figure
8.6d, which can also be used on horizontal and banana screens. The three shafts are connected by
gears and one of the shafts is driven. The elliptical motion is claimed to offer the efficiency benefit of
a linear vibrating screen with the tumbling action of a circular motion screen. Higher capacities and
increased efficiencies are claimed over either linear or circular motion machines.
1. Static screens Static grizzlies 6. Roller screen
2. Mogensen divergators 7. Flip-flow screen
3. Trommels 8. Circular screens
4. The Rotaspiral 9. Sieve bend screens
5. The Bradford Breaker 10. Linear screen
11. Pansep screen
 Write down the names of other screen types. Give their uses. (1+2)
•
Screen surface types
1. Bolt-in screening surfaces 5. Tensioned rubber and
polyurethane mats
2. Tensioned screening surfaces 6. Modular screening
surfaces
3. Traditional woven-wire cloth 7. Modular wire and wedge
wire panels
4. "Self-cleaning" wire
Bolt-in screening surfaces
• Screening surfaces for screening duties
with particles larger than around 50
mm frequently consist of large sheets
of punched, laser-cut, or plasma-cut
steel plate, often sandwiched with a
polyurethane or rubber wear surface to
maximise wear life. These sheets are
rigid and are bolted to the screen
(Figure). Curved sections of screens of
this type are also commonly used on
trommels.
Tensioned screening surfaces
• Tensioned screen surfaces consist of cloths that are
stretched taut, either between the sides of the screen (cross
tensioned) or along the length of the screen (end
tensioned).
• Maintaining the correct tension in the screen cloth is
essential to ensure screening efficiency and to prevent
premature failure of the screening surface.
• Tensioned screens are available in various wire weaves as
well as polyurethane and rubber mats.
Traditional woven-wire cloth
• Traditional woven-wire cloth, usually constructed from steel or stainless steel,
remains popular.
• Wire cloths are the cheapest screening surfaces, have a high open area, and
are comparatively light.
• The high open area generally allows a screen to be smaller than a screen with
modular panels for the same capacity duty.
• In relatively light screening duties, therefore, wire-tensioned screens are often
preferred. Increasing the wire thickness increases their strength, but decreases
open area and hence capacity.
"Self-cleaning" wire
• "Self-cleaning" wire Traditionally, blinding problems have been countered by
using wire with long-slotted apertures or no cross-wires at all (piano-wire) but
at the cost of lower screening efficiency.
• Self-cleaning wire (Figure 8.20) is a variation on this, having wires that are
crimped to form "apertures" but individual wires are free to vibrate and
therefore have a high resistance to blinding and pegging.
• Screening accuracy can be close to that of conventional woven wire mesh; and
they have a longer wear life, justifying their higher initial cost.
• There are three main types of self-cleaning weave: diamond, triangle, and wave
or zig-zag shaped apertures. The triangle and diamond weaves give a more
efficient separation.
Modular screening surfaces
• Modular screening surfaces The most
popular screening surfaces in harsh
screening duties are polyurethane and
rubber screen decks (Figure 8.21), usually
assembled in modules or panels that are
fixed onto a sub-frame.
• Both materials offer exceptional
resistance to abrasion. Rubber also has
excellent impact resistance; therefore
rubber is often used in applications
where top size can be greater than
around 2“ (50 mm). Polyurethane is
generally preferred in wet screening
applications.
Tensioned rubber and polyurethane
• Tensioned rubber and polyurethane mats that can be interchanged
with tensioned wire cloths are also available.
• These mats are usually reinforced with internal steel cables or
synthetic cords.
• Rubber and polyurethane can have significantly longer wear life
than steel, although the open area is generally lower than wire.
• Aggregate producers prefer tensioned media because they must be
able to make frequent deck changes to produce different
specifications, and tensioned media are quicker to replace than
modular screening systems.
• Modular wire and wedge wire panels are also available. These have much
greater open area compared with modular polyurethane screens.
• These wire panels consist of a polyurethane or rubber fixing system moulded
around a woven-wire or wedge-wire screening surface.

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Size separation_01.pptx

  • 1.
  • 2. Purposes of mineral industry • Sizing or Classifying: to separate particles by size, usually to provide a downstream unit process with the particle size range suited to that unit operation. • Scalping: to remove the coarsest size fractions in the feed material, usually so that they can be crushed or removed from the process. • Grading: to prepare a number of products within specified size ranges. This is important in quarrying and iron ore, where the final product size is an important part of the specification. • Media recovery: for washing magnetic media from ore in dense medium circuits. • Dewatering: to drain free moisture from a wet sand slurry. • Desliming or de-dusting: to remove fine material, generally below 0.5 mm from a wet or dry feed; and • Trash removal: usually to remove wood fibres from a fine slurry stream.
  • 3. Performance of screen • In its simplest form, the screen is a surface having many apertures, or holes, usually with uniform dimensions. Particles presented to that surface will either pass through or be retained, according to whether the particles are smaller or larger than the governing dimensions of the aperture. The efficiency of screening is determined by the degree of perfection of separation of the material into size fractions above or below the aperture size. • There has been no universally accepted method of defining screen performance and a number of methods are employed. The most common screen performance criteria are those which define an efficiency based on the recovery of material at a given size, or on the mass of misplaced material in each product. This immediately leads to a range of possibilities, such as undersize in the over screen product, oversize in the through-screen product, or a combination of the two. • An efficiency equation can be calculated from a mass balance across a screen as follows:
  • 4. • The mass balance on the screen is: F = C+U (1) • The mass balance of the oversize material is: Ff = Cc+Uu (2) • and the mass balance of the undersize material is: F (1-f) = C(1-c)+U(1-u) (3) • Hence, (4) • and (5) • The recovery of oversize material into the screen overflow is: (6) • Consider a screen (Figure) the feed to which is F t h-1. Two products are generated. A coarse product of C t h-1 overflows from the screen, and a fine product of U t h-1 passes through the screen. • Let f be the fraction of material above the cut point size in the feed; c be the fraction of material above the cut point size in the overflow; and u be the fraction of material above the cut point size in the underflow. f, c, and u can be determined by sieving a representative sample of each of the fractions on a laboratory screen of the same aperture size as the industrial screen and assuming this to be 100% efficient.
  • 5. • and the corresponding recovery of undersize material in the screen underflow is: • (7) • These two relationships (6) and (7), measure the effectiveness of the screen in separating the coarse material from the underflow and the fine material from the overflow. • A combined effectiveness, or overall efficiency, E, is then obtained by multiplying the two equations together: • (8)
  • 6. • For screens where the aperture and the cut point are similar (and if there are no broken or deformed apertures), the amount of coarse material in the underflow is usually very low. A simplification of Equation 8 can be obtained by assuming that it is, in fact, zero (i.e., u = 0), in which case the formula for fines recovery and that for the overall efficiency both reduce to:
  • 7. Factors affecting screen performance • The process of screening is frequently described as a series of probabilistic events, where particles are presented to a screening surface many times, and on each presentation there exists a given probability that. In its simplest form, the probability of passage for a single spherical particle size d passing a a particle of a given size will pass square aperture with a size x bordered by a wire diameter w in a single event is given by the Gaudin (1939) equation: • or given that the fraction of open area fo is defined as x2/(x + w)2: • The probability of passage for n presentations is calculated by: • Screening performance is therefore affected by factors that influence the probability of particle passage, and factors that influence the number of opportunities the particles are given to pass through the screen mesh.
  • 8. •Feed Rate •Screen Angle •Particle Shape •Open Area •Vibration •Moisture
  • 9. Feed Rate • The principle of sieve sizing analysis is to use a low feed rate and a very long screening time to effect an almost complete separation. • In industrial screening practice, economics dictate that relatively high feed rates and short particle dwell times (The period of time that a system or element of a system remains in a given state) on the screen should be used. At these high feed rates, a thick bed of material is presented to the screen, and fines must travel to the bottom of the particle bed before they have an opportunity to pass through the screen surface. • The net effect is reduced efficiency. High capacity and high efficiency are often opposing requirements for any given separation, and a compromise is necessary to achieve the optimum result.
  • 10. Screen Angle • The Gaudin Equation assumes that the particle approaches the aperture perpendicular to the aperture. • If a particle approaches the aperture at a shallow (not deep or strong) angle, it will "see" a narrower effective aperture dimension and near mesh particles are less likely to pass. • The slope of the screening surface affects the angle at which particles are presented to the screen apertures. • Some screens utilise this effect to achieve separations significantly finer than the screen aperture. For example, sieve bends cut at approximately half the aperture size. Where screening efficiency is important, horizontal screens are selected. • The screen angle also affects the speed at which particles are conveyed along the screen, and therefore the dwell time on the screen and the number of opportunities particles have of passing the screen surface.
  • 11. Particle Shape • Most granular materials processed on screens are non-spherical. • While spherical particles pass with equal probability in any orientation, irregular-shaped near-mesh particles must orient themselves in an attitude that permits them to pass. • Elongated and slabby particles will present a small cross-section for passage in some orientations and a large cross-section in others. • The extreme particle shapes therefore have a low screening efficiency. Mica (any of various minerals consisting of hydrous silicates of aluminum or potassium etc. that crystallize in forms that allow perfect cleavage into very thin leaves; used as dielectrics because of their resistance to electricity), for instance, screens poorly on square aperture screens, its flat, plate like crystals tending to "ride" over the screen apertures.
  • 12. Open Area • The chance of passing through the aperture is proportional to the percentage of open area in the screen material, which is defined as the ratio of the net area of the apertures to the whole area of the screening surface. • The smaller the area occupied by the screen deck construction material, the greater the chance of a particle reaching an aperture. • Open area generally decreases with the fineness of the screen aperture. • In order to increase the open area of a fine screen, very thin and fragile wires or deck construction must be used. • This fragility and the low throughput capacity are the main reasons for classifiers replacing screens at fine aperture sizes.
  • 13. Vibration • Screens are vibrated in order to throw particles off the screening surface so that they can again be presented to the screen, and to convey the particles along the screen. • The fight type of vibration also induces stratification of the feed material (Figure 8.3), which allows the fines to work through the layer of particles to the screen surface while causing larger particles to rise to the top. • Stratification tends to increase the rate of passage in the middle section of the screen (Soldinger, 1999). • The vibration must be sufficient to prevent pegging and blinding. • However, excessive vibration intensity will cause particles to bounce from the screen deck and be thrown so far from the surface that there are very few effective presentations to the screen surface. • Higher vibration rates can, in general, be used with higher feed rates, as the deeper bed of material has a "cushioning" effect which inhibits particle bounce. • Vibrating screens typically operate with a vibration force of between 3 and 7 times the gravitational acceleration, or 3G-7G. Vibrations are induced by mechanical exciters driven by electric motors or electrical solenoids in the case of high frequency screens. The power required is small compared to other unit operations within the concentrator, and is approximately proportional to the loaded mass of the screen.
  • 14. Vibration • The amount of surface moisture present in the feed has a marked effect on screening efficiency, as does the presence of clays and other sticky materials. • Damp feeds screen very poorly as they tend to agglomerate and "blind" the screen apertures. • As a rule of thumb, screening at less than around 5 mm aperture size must be performed on perfectly dry or wet material, unless special measures are taken to prevent blinding. • These measures may include using heated decks to break the surface tension of water between the screen wire and particles, ball-decks (a wire cage containing balls directly below the screening surface) to impart additional vibration to the underside of the screen cloth, or the use of non-blinding screen cloth weaves. • Wet screening allows finer sizes to be processed efficiently down to 250 μm and finer. Adherent fines are washed off large particles, and the screen is cleaned by the flow of pulp and additional water sprays.
  • 15. Mathematical models of screens phenomenological models that incorporate a theory of the screening process empirical models based on empirical data numerical models based on computer solutions of Newtonian mechanics
  • 16. phenomenological models that incorporate a theory of the screening process • Phenomenological models are based on the theory of particle passage through a screening surface. • The two dominant theories are probabilistic, treating the process as a series of probabilistic events, and kinetic, treating the process as one or more kinetic rate processes. • The model by Whiten (1972) extends the theory developed by Gaudin (Equation) to develop an efficiency curve model containing a single model parameter. • The model by Ferrara and Preti (1975) describes rate of passage through the screen as a function of the screen length. They proposed a zero-order rate of passage for the heavily loaded section of the screen, followed by a first-order rate governing the passage of particles in the lightly loaded section of the process. Both of these models have been used extensively to model industrial screening data.
  • 17. empirical models based on empirical data • Empirical or capacity models aim to predict the required area of screen and are frequently used by screen manufacturers. There are a number of different formulations of these models. Most aim to predict the quantity of undersize that can pass through the screen. • Theoretical area required = (Total t h-1 undersize in feed) / (CF1F2F3 ….Fn) • Where C- Base-line screen capacity in t/h of undersize per unit area. F1 to Fn, are correction factors. • Common correction factors include corrections for the quantity of oversize (material larger than the aperture), half-size (material less than half the aperture size), and near-size (material between 75 and 125% of the aperture size; the density of material being screened; whether the screen is a top deck or a lower deck on a multi-deck screen; the open area of the screen cloth; whether square or slotted apertures are used; whether wet-screening is employed; and the desired screening efficiency. • They have been developed for a specific type of screen: inclined circular stroke vibrating screens using standard wire-mesh screen cloth. Because there are many other variables and many other screen types and screening surfaces in use, accurate screen selection for a particular application is best done by seeking advice from reputable equipment suppliers together with pilot-scale testing.
  • 18. numerical models based on computer solutions of Newtonian mechanics • Numerical computer simulations are being increasingly used to model the behaviour of particles in various processing equipment including screens (Cleary, 2003); see Figure. It is expected that numerical simulation techniques such as the Discrete Element Method (DEM) will gain wider application in the modelling of industrial screens, and assist in the design and optimisation of new screening machines.
  • 19. Screen Types Vibrating screens Inclined screens Grizzly screens Horizontal screens Resonance screens Dewatering screens Banana screens Modular screens Mogensen sizers High frequency screens Why vibrating screens are important? Vibrating screens are the most important and versatile screening machines for mineral processing applications (Crissman, 1986). The success of the vibrating screen has made many older screen types obsolete in the minerals industry including shaking and reciprocating screens, details of which can be found in Taggart (1945). Vibrating screens have a rectangular screening surface with feed and oversize discharge at opposite ends. They perform size separations from 300mm in size down to 45 μm and they are used in a variety of sizing, grading, scalping, dewatering, wet screening, and washing applications. Vibrating screens of most types can be manufactured with more than one screening deck. On multiple-deck systems, the feed is introduced to the top coarse screen; the undersize falling through to the lower screen decks, thus producing a range of sized fractions from a single screen. Classification of Vibrating screens
  • 20. Inclined screens • Inclined or circular motion screens (Figure) are widely used as sizing screens. • A vertical circular or elliptical vibration is induced mechanically by the rotation of unbalanced weights or flywheels attached usually to a single drive shaft. • The amplitude of throw can be adjusted by adding or removing weight elements bolted to the flywheels. • The rotation direction can be contra-flow (opposite direction) or in-flow. • Contraflow slows the material more and permits more efficient separation, whereas in-flow permits a greater throughput. • Single-shaft screens must be installed on a slope, usually between 15° and 28° to permit flow of material along the screen.
  • 21.
  • 22. Grizzly screens • Very coarse material is usually screened on an inclined screen called a grizzly screen. • Grizzlies are characterised by parallel steel bars or rails (Figure) set at a fixed distance apart and installed in line with the flow of ore. • The gap between grizzly bars is usually greater than 50 mm and can be as large as 300 mm, with feed topsize as large as 1 m. • Vibrating grizzlies are usually inclined at an angle of around 20° and have a circularthrow mechanism. The capacity of the largest machines exceeds 5000 t h-1. • The most common use of grizzlies in mineral processing is for sizing the feed to primary and secondary crushers. • If a crusher has a 100mm setting, then feed can be passed over a grizzly with a 100mm gap in order to reduce the load on the crusher. • The bars are typically made from wear-resistant manganese steel, and are usually tapered to create gaps that become wider towards the discharge end of the screen to prevent rocks from wedging between the bars.
  • 23.
  • 24. Horizontal screens • Horizontal low-head or linear vibrating screens (Figure) have a horizontal or near-horizontal screening surface, and therefore need less headroom than inclined screens. • Horizontal screens must be vibrated with a linear or an elliptical vibration produced by a double or triple-shaft vibrator. • The accuracy of particle sizing on horizontal screens is superior to that on inclined screens; however because gravity does not assist the transport of material along the screen they have lower capacity than inclined screens (Krause, 2005). • Horizontal screens are used in sizing applications where screening efficiency is critical, and in drain-and-rinse screens in heavy medium circuits.
  • 25.
  • 26. RESONANCE SCREENS • Resonance screens are a type of horizontal screen consisting of a screen frame connected by rubber buffers to a dynamically balanced frame having a natural resonance frequency which is the same as that of the vibrating screen body. • The vibration energy imparted (transmit ) to the screen frame is stored up in the balancing frame, and re-imparted to the screen frame on the return stroke. • The energy losses are reduced to a minimum, and the sharp return motion produced by the resonant action imparts a lively action to the deck and promotes good screening.
  • 27.
  • 28. DEWATERING SCREENS • Dewatering screens are a type of vibrating screen that are fed a thick slurry and produce a drained sand product. • Dewatering screens are often installed with a slight up-hill incline to ensure that water does not flow over with the product. • A thick bed of particles forms, trapping particles finer than the screen aperture.
  • 29.
  • 30. Banana screens • Banana or Multi-slope screens have become widely used in high-tonnage sizing applications where both efficiency and capacity are important. • Banana screens (Figure) typically have a variable slope of around 40-30° at the feed end of the screen, reducing to around 0-15° in increments of 3.5-5°. • Banana screens are usually designed with a linear-stroke vibrator. • The steep (of a slope; set at a high angle) sections of the screen cause the feed material to flow rapidly at the feed end of the screen. • The resulting thin bed of particles stratifies (form layers) more quickly and therefore has a faster screening rate for the very fine material than would be possible on a slower moving thick bed. • Towards the discharge end of the screen, the slope decreases to slow down the remaining material, enabling more efficient screening of the near-size material. • The capacity of banana screens is significantly greater and is reported to be up to three or four times that of conventional vibrating screens.
  • 31.
  • 32. Modular screens • Modular screens such as the OmniScreen (Figure 8.10), consist of two or more independent screen modules arranged in series, effectively making a large screen from a number of smaller units. • A key advantage of this arrangement is that each screen module can be separately configured with a unique screen slope, screen surface type, vibration stroke, and frequency. • This allows screening performance to be optimised separately on different sections of the screen. • The individual screen sections being smaller and lighter are mechanically more robust compared with a single screen with an equivalent total size. • Modular screens are frequently installed in a multi-slope configuration.
  • 33.
  • 34. Mogensen sizers • The Mogensen Sizer is a vibrating screen that uses the principle that particles smaller than the aperture statistically require a certain umber of presentations to the screen in order to pass. • The Mogensen Sizer (Figure) consists of a system of oscillating and sloping screens of decreasing aperture size, the smallest of which has a mesh size up to twice the size of the desired separation size. • This arrangement allows particles very much finer than the screens to pass through quickly, but causing larger particles to be rejected by one of the screen surfaces. • A thin layer of particles on each screen surface is maintained, enabling high capacity such that a particular screening duty can be met with a machine occupying less floor space than a conventional screen, and blinding and wear are reduced. • The Mogensen 2000 Sizer is a similar device designed for fine separations, incorporating direct rapping of the screen mesh rather than vibration of the entire unit.
  • 35. High frequency screens • Efficient screening of fine particles requires a vibration with small amplitude and high frequency. • Frequencies up to 3600 rpm are used to separate down to 100 microns compared with vibrating screens for coarser applications that are vibrated at around 700- 1200rpm. • The vibration of the screening surface can be created by electric motors or with electrical solenoids. • In the case of the Tyler H-series (or Hum-mer) screen, the vibrators are mounted above and connected by rods directly to the screening surface so that energy is not wasted in vibrating the entire screen body. • High-frequency wet screens such as the Derrick repulp screen permit screening down to 45 microns. • Screening efficiency decreases rapidly once the free water has passed through the screen, therefore these screens incorporate water-sprays to periodically re-pulp the screen oversize to ensure good washing.
  • 36. • Circular motion (Single-shaft) screens. When the shaft of an inclined screen is located precisely at the screen's centre of gravity, the entire screen body vibrates with a circular vibration pattern (Figure 8.6a). Occasionally, the shaft is installed above or below the centre of gravity as in the system shown in Figure 8.6b. This placement results in an elliptical motion, slanting forward at the feed end; a circular motion at the centre; and an elliptical motion, slanting backwards at the discharge end. Forward motion at the feed end serves to move oversize material rapidly out of the feed zone to keep the bed as thin as possible. This action facilitates passage of fines which should be completely removed in the first one-third of the screen length. As the oversize bed thins down, near the centre of the screen, the motion gradually changes to the circular pattern to slow down the rate of travel of the solids. At the discharge end, the oversize and remaining near-size materials are subjected to the increasingly retarding effect of the backward elliptical motion. This allows the near-size material more time to find openings in the screen cloth. • Linear-vibration (Double-shaft) screens. A linear vibration is induced by using mechanical exciters containing matched unbalanced weights rotating in opposite directions on two shafts as shown in Figure 8.6c. Linear stroke screens can be installed on a slope, horizontally or even on a small up-hill incline. The angle of stroke is typically between 30 and 60° to the screen deck. Linear-vibration exciters are used on horizontal screens and banana screens. Oval motion (Triple-shaft) screens. A three-shaft exciter design can be used to generate an elliptical vibratory motion as shown in Figure 8.6d, which can also be used on horizontal and banana screens. The three shafts are connected by gears and one of the shafts is driven. The elliptical motion is claimed to offer the efficiency benefit of a linear vibrating screen with the tumbling action of a circular motion screen. Higher capacities and increased efficiencies are claimed over either linear or circular motion machines.
  • 37.
  • 38. 1. Static screens Static grizzlies 6. Roller screen 2. Mogensen divergators 7. Flip-flow screen 3. Trommels 8. Circular screens 4. The Rotaspiral 9. Sieve bend screens 5. The Bradford Breaker 10. Linear screen 11. Pansep screen  Write down the names of other screen types. Give their uses. (1+2)
  • 39. • Screen surface types 1. Bolt-in screening surfaces 5. Tensioned rubber and polyurethane mats 2. Tensioned screening surfaces 6. Modular screening surfaces 3. Traditional woven-wire cloth 7. Modular wire and wedge wire panels 4. "Self-cleaning" wire
  • 40. Bolt-in screening surfaces • Screening surfaces for screening duties with particles larger than around 50 mm frequently consist of large sheets of punched, laser-cut, or plasma-cut steel plate, often sandwiched with a polyurethane or rubber wear surface to maximise wear life. These sheets are rigid and are bolted to the screen (Figure). Curved sections of screens of this type are also commonly used on trommels.
  • 41. Tensioned screening surfaces • Tensioned screen surfaces consist of cloths that are stretched taut, either between the sides of the screen (cross tensioned) or along the length of the screen (end tensioned). • Maintaining the correct tension in the screen cloth is essential to ensure screening efficiency and to prevent premature failure of the screening surface. • Tensioned screens are available in various wire weaves as well as polyurethane and rubber mats.
  • 42. Traditional woven-wire cloth • Traditional woven-wire cloth, usually constructed from steel or stainless steel, remains popular. • Wire cloths are the cheapest screening surfaces, have a high open area, and are comparatively light. • The high open area generally allows a screen to be smaller than a screen with modular panels for the same capacity duty. • In relatively light screening duties, therefore, wire-tensioned screens are often preferred. Increasing the wire thickness increases their strength, but decreases open area and hence capacity.
  • 43. "Self-cleaning" wire • "Self-cleaning" wire Traditionally, blinding problems have been countered by using wire with long-slotted apertures or no cross-wires at all (piano-wire) but at the cost of lower screening efficiency. • Self-cleaning wire (Figure 8.20) is a variation on this, having wires that are crimped to form "apertures" but individual wires are free to vibrate and therefore have a high resistance to blinding and pegging. • Screening accuracy can be close to that of conventional woven wire mesh; and they have a longer wear life, justifying their higher initial cost. • There are three main types of self-cleaning weave: diamond, triangle, and wave or zig-zag shaped apertures. The triangle and diamond weaves give a more efficient separation.
  • 44.
  • 45. Modular screening surfaces • Modular screening surfaces The most popular screening surfaces in harsh screening duties are polyurethane and rubber screen decks (Figure 8.21), usually assembled in modules or panels that are fixed onto a sub-frame. • Both materials offer exceptional resistance to abrasion. Rubber also has excellent impact resistance; therefore rubber is often used in applications where top size can be greater than around 2“ (50 mm). Polyurethane is generally preferred in wet screening applications.
  • 46. Tensioned rubber and polyurethane • Tensioned rubber and polyurethane mats that can be interchanged with tensioned wire cloths are also available. • These mats are usually reinforced with internal steel cables or synthetic cords. • Rubber and polyurethane can have significantly longer wear life than steel, although the open area is generally lower than wire. • Aggregate producers prefer tensioned media because they must be able to make frequent deck changes to produce different specifications, and tensioned media are quicker to replace than modular screening systems.
  • 47. • Modular wire and wedge wire panels are also available. These have much greater open area compared with modular polyurethane screens. • These wire panels consist of a polyurethane or rubber fixing system moulded around a woven-wire or wedge-wire screening surface.