Size Reduction Techniques Guide
Size Reduction Techniques Guide
Size Reduction
Introduction to Size Reduction:
• Size refers to the physical dimensions of an object.
• Reduction involves decrement or the process of decreasing the
size.
• Size reduction refers to the process of converting the object
from one physical dimension of higher order to another
dimension of small order.
• It is the operation performed to reduce the size of larger particles
into smaller ones of the desired size and shape using external
forces.
1. Impact
2. Compression
3. Attrition
4. Cutting
• Compression is chosen
(i) if the material is hard and tough,
(ii) if the material is abrasive,
(iii) if the material is not sticky,
(iv) where the finished product is to be relatively
coarser in size, and
(v) when the material will break cubically.
Coarse reduction of hard solids to fines,
Coarse reduction (NUTCRACKER) reduction to a size of up to 3 mm
Impact
• Impact occurs when moving particles strikes against
a stationary phase. In the same way, particles
moving at high speed collide each other and
produce smaller particles.
• Here, the particle is subjected to a single violent
force.
• But the more important aspects about the feed material apart from its
size and quantity are its properties such as hardness, toughness,
stickiness, moisture content, friability, explosive nature, soapiness,
crystallinity, and temperature sensitivity
Hardness: The hardness of the material is its resistance to scratching/
deformation and it affects the power consumption and the wear on the
grinding machine. It refers to the surface property of a material and is
measured on the " Moh's scale" ranging from 1 to 10. Materials with a
hardness below 3 are soft, between 3 and 7 are intermediate, and above 7
are considered hard. A very hard but brittle material may not pose
significant problems in size reduction.
𝐸𝑠 𝐴𝑠𝑠𝑝 − 𝐴𝑠𝑠𝑓
η𝑐 =
𝑊𝐴
𝑊𝐴
η𝑚 =
𝑊
W= Total energy/work input, J/kg
WA = Total energy absorbed by a unit mass of solid, J/kg
So, total energy input to the machine can be derived as
𝐸𝑠 𝐴𝑠𝑠𝑝 − 𝐴𝑠𝑠𝑓
𝑊=
η 𝑚 η𝐶
Power Required for Continuous Operation
• If 𝑚ሶ is the flow rate of solids to the machine then the power required, P,
by the machine is the product of the total energy input and the flow rate
as:
𝑃 = 𝑊 × 𝑚ሶ
𝐸𝑠 𝐴𝑠𝑠𝑝 − 𝐴𝑠𝑠𝑓 𝑚ሶ
𝑃=
η𝑚 η𝐶
• It can be understood that for higher flow rate and materials with high
surface energy, the power consumption would be higher.
The expressions for the specific surfaces of feed and product materials
Dvsf, Dvsp ρ= Sauter mean diameter for the feed and the
product, m and
ρpf, ρpp = Density of the feed and the product materials, kg/m3
For the homogeneous materials,
This relation tells us that the power requirement for crushing will be
more for particles having higher surface energy and also for the higher
flow rate
Laws of Comminution
It is almost impossible to find out the accurate amount of energy
requirement in order to effect size reduction of a given material. It is due
to these reasons:
➢There is a wide variation in the size and shape of particles both in the
feed and product.
➢Parts of input energy is wasted as heat and sound, which can not be
determined exactly.
There are three empirical laws have been proposed to relate the size
reduction with the energy input to the machine.
P
W E
P
W E
For particles of constant sphericity and density, the work required will
be
1 1
𝑊𝑅 = 𝐾𝑅 −
𝐷ഥ𝑣𝑠𝑝 𝐷 ഥ𝑣𝑠𝑓
Where, 𝐷ഥ𝑣𝑠𝑝 , 𝐷
ഥ𝑣𝑠𝑓 =Sauter mean diameter for the feed and the product,
6𝐾𝐸𝑠
and 𝐾𝑅 = , is known as Rittinger’s constant.
𝜑𝜌𝑝
The inverse of Rittinger’s constant is known as Rittinger’s number.
Rittinger s law is applicable mainly to that part of the process, where new surface is being
created and holds most accurately for fine grinding where the increase in surface per unit
mass of material is predominant.
This law is applicable for feed size of less than 0.05 mm.
Kick’s law
• This law states that the work required for crushing a given mass of
material is constant for a given reduction ratio irrespective of the initial
size. It is represented as:
𝐷ഥ𝑣𝑠𝑓
𝑊𝐾 = 𝐾𝐾 𝑙𝑛
𝐷ഥ𝑣𝑠𝑝
Where, 𝐷 ഥ𝑣𝑠𝑝 , 𝐷
ഥ𝑣𝑠𝑓 =Sauter mean diameter for the feed and the product,
and 𝐾𝐾 is known as Kick’s constant.
• The reduction ratio is the ratio of initial particle size to final particle size.
More accurate for coarse crushing where the surface area produced per unit
mass is considerably less. This law is applicable for feed size of greater than
50 mm.
Bond’s law
• This law states that the work required to form particles of size Dpp
from a very large particle size is proportional to the square root of
the surface to volume ratio Sp/Vp of the product. It is represented as:
P
1 1
𝑊𝐵 = 𝐾𝐵 −
𝐷𝑝𝑝 𝐷𝑝𝑓
ഥ𝑝𝑓 , 𝐷
Where, 𝐷 ഥ𝑝𝑝 = particle size of the feed and the product, respectively
6
and 𝐾𝐵 = 𝐾 is known as Bond’s constant.
𝜑
This law is applicable for feed size between 0.05 and 50 mm.
The Bond s constant (Kb), is dependent on the type of machine used and, on
the material, to be crushed. And it is found more accurately using Work
Index Wi
Work Index Wi
• It is defined as the gross energy requirement in kilowatt-hours per
short ton of feed to reduce a very large particle to a size at which
80 percentage of the product will pass through a 100-µm or 0.1 -
mm screen.
1 𝐾𝑏 = 𝑊𝑖 √Dpp
𝑊𝑖 = 𝐾𝑏
√𝐷𝑝𝑝
Now, if P is in kW, m is in tons per hour, and
(i) D is in μm then K = 10 𝑊𝑖 , and
pp b
W P
The Bond work index provides a measure of how much energy is required to
grind a sample of materials.
For dry grinding the materials, these values are multiplied by 4/3.
Hard Very Hard
Differential form of laws
Classification of Size Reduction Equipments
Coarse Crusher
Shear action of the
Impact surrounding (Large feed size to
medium 50-5 mm product
Batch Operated size)
Cryogenic
crushing Cutting machines
Grinding
(definite size
between 2-10 mm
Ultrasonic length)
grinding
Coarse crushers (Large feed size to 50-5 mm product size)
• Slow-speed machine for coarse reduction of large quantities of
solids
• break large pieces of solid material into small lumps
• Primary crusher - accepts anything from mine & breaks into 150
- 250 mm
• Secondary crusher - reduces lumps into 6 mm main types:
1) Jaw crushers
2) Gyratory crushers
3) Smooth-roll crushers
4) Toothed-roll crushers Gyratory crusher
Intermediate Crusher (50-5 mm feed size to 5-0.1 mm product size)
• For intermediate duty (from crushers to grinders for further
reduction)
• Reduce crushed feed to powder
• Product from intermediate grinder might be 5-0.1 mm
1) Hammer mills & impactor
2) Roller mill
3) Cage mills
4) Granulator
Fine Crusher/grinders (5-2 mm feed size to ≅ 200- mesh)
• Fine grinding which reduces the intermediate product to a finer size
• Product from fine grinder would pass a 200-mesh screen (74μm
screen) commercial grinders:
• Reduce the solid size by impact, attrition
• Ball mill
• Pebble mill
• Rod mill
• Tube mill
• Attrition mill/Pulveriser
Ultrafine grinders: (6 mm feed size to 50-1-µm)
• Reduce solids to fine particles
• Accepts feed particles not larger than 6 mm.
• The product size is typically 1 to 50 μm.
• Reduce the solid size by attrition
Examples
1. Classifying hammer mills,
2. Fluid Energy Mills
3. Agitated Mills
4. Colloid Mills.
Cutting machines: (definite size between 2-10 mm length)
Examples
• Cutters, Knife, Scissors – produce cube, thin squares or
diamonds.
Size Reduction Equipment Classification
McCabe, W.L., Smith, J.C., and Harriott, P., “Unit Operations of Chemical Engineering”, 6 th ed., McGraw Hill, 2001.
Methods of Feeding
• Two methods of feeding material to a crusher are possible,
Free crushing: Feeding the material at a comparatively low
rate so that the product can readily escape.
• Residence time in the machine is sort.
• And then production of appreciable quantities of
undersize material is avoided.
Choke Feeding
• Machine is kept full of material and discharge of product
is impeded so that the material remains in the crusher for
a longer period right.
• Higher degree of crushing
• The energy consumption would be very high because of
accumulated product inside the machine.
• Used only for small amounts of material when it is
desired to complete the whole of size reduction in one
operation
Coarse crushers (Large feed size to 50-5 mm product size)
Jaw crushers • Two jaw - V opening
• One – Fixed jaw – anvil jaw; Other – moving
jaw – swinging jaw
• Angle b/w jaws 20o – 30o
• Jaws are flat or slightly bulged
• crushed at upper portion & then dropped and
re-crushed at narrow end.
• Jaw open and close 250-400 times per
minute
• Eccentric drive a pitman which is connected
to toggles among which connected to moving
jaw
• Capacity: 1200 ton/hr
Distance between the two jaw plates at the feed opening is
known as gape
The jaws themselves are usually constructed from cast steel and are fitted with replaceable
liners, made from manganese steel, or "Ni-hard", a Ni-Cr alloyed cast iron
PITMAN
escape.
Less uniformity in product size
Single Toggle Jaw Crusher Double Toggle Jaw Crusher
Single toggle vs double toggle
Dodge crusher
• It has a large opening at the top enables it to take large feed.
• Material is crushed at upper portion, then dropped and recrushed
at narrow end.
• The constant opening at the discharge end gives the crusher an
• annoying tendency to clog.
• This type of crusher is effective for hard and abrasive materials
as the crushing force is concentrated on a single point.
• More uniformity in the product size.
Capacity of Jaw Crusher
• The theoretical capacity of a jaw crusher is
Industrial Applications
Crushers are used
• Depending on the number of rolls employed, roll crushers are of two types
1. Single-roll crushers
2. Double-roll crushers.
• The single-roll crusher is one of the oldest and the simplest crushers which
are mainly used for primary crushing, whereas double-roll crushers are used
for secondary crushing.
Single-roll crushers
• Single-roll crushers employ three different methods of size reduction -impact, shear, and compression
• Single-roll crushers have a roll assembly consisting of a roll shaft and a fabricated roll shell with integral fixed
teeth
breaker plate
Feed Material Entry:
1. Feed material enters the crusher through the feed hopper.
2. The material comes into contact with the teeth of the revolving roll.
3. Initial breakage occurs due to impact with the teeth.
Crushing Chamber : Roll
1.The rotation of the roll moves the material into the crushing chamber.
2.The chamber is formed between the breaker plate and the roll itself.
3.Material compression and shearing occur in this chamber.
Material Compression and Shearing:
1. The turning roll compresses the material against the stationary breaker plate.
2. The teeth on the roll shear the material, further breaking it down.
Sized Material Discharge:
1. Properly sized materials fall directly out through the discharge end.
2. The discharge end is fully open, without screen bars. Product discharge
3. No re-crushing of sized materials occurs, reducing power demand and fines.
Product sizes ranging from 75 to
Adjustable Product Size: 300 mm depend on machine size
1. The clearance between the breaker plate and the roll determines product size.
2. Product size can be adjusted from outside the machine using a shim arrangement.
Applications: Single-roll crushers
• Petroleum Coke
• Coal
• Limestone
• Phosphate Rock
Advantages of Single Roll Crusher:
• Simplicity: Single roll crushers are relatively simple in design and
operation, making them easy to maintain and operate.
• Compact Design: They have a compact design, which makes
them suitable for installations with limited space.
• Uniform Product Size: Single roll crushers provide consistent
and controlled product size due to their one-roll design.
• Economical: They are cost-effective and require less maintenance
compared to some other crushing equipment.
• Versatility: Single roll crushers can handle a wide range of
materials and sizes, making them versatile for various
applications.
Disadvantages of Single Roll Crusher
• Limited Feed Size: Single roll crushers are not suitable for
large feed sizes and may struggle with oversized materials.
• High Wear and Tear: The single roll's surface is subject to high
wear and tear, which can result in higher maintenance and
replacement costs.
• Limited Reduction Ratio: limited reduction ratios compared to
other types of crushers.
• Limited Control: The adjustable clearance between the roll and
the breaker plate may not provide as precise control over the
final product size as other crushers.
The material fed to the machine is protected by
spring loading
Crushing Roll
Double roll
Single Roll Crusher provides up to a 6:1 ratio of reduction and double roll crusher 4:1.
Features and benefits of toothed roller crusher:
• Good Performance with Moisture Control:
• Suitable for materials with moisture content up to 15%.
• Even Discharging Size:
• Ensures consistent product size without blocking.
• Environmental Protection:
• Full-sealed design prevents dust pollution.
• Meets environmental standards.
• Sample Collection
• Convenient sample collection for analysis.
• Efficient Maintenance:
• Removable shell for easy maintenance and inspection.
• Attractive Appearance:
• Total electro-static coating for a polished look.
• Easy to clean and maintain appearance.
• Work Safety:
• All moving parts have safeguards for work safety.
Applications: Double Tooth Roller
• Crushing of Oil Seeds
• Coal
• Phosphate Rocks
• Abrasive Materials
• Lime
• Limestone
• Petroleum Coke
• Explosive Materials In Gunpowder Industries.
Roll Crusher Capacity
• The capacity of roll crushers can be calculated using the theoretical formula:
Q (theoretical) = 188.5 N D W s d
N: Speed of rolls (rpm); D: Roll diameter (m); W: Roll width (m); s: Density of feed
material (kg/m³); d: Distance between the rolls (m).
Angle of Bite :
Intermediate Crusher
(50-5 mm feed size to 5-0.1 mm product size)
Fine Crusher/grinders
(5-2 mm feed size to ≅ 𝟐𝟎𝟎-mesh
Hammers - rectangular metal bars with plain, enlarged, or
sharpened edges
CASING
HAMMER
SCREEN
• Can grind tough fibrous solids like bark or leather, steel
turnings, hard rock, sticky clay
• Large current of air produced makes environment dusty
Intermediate hammer mills: Product size – 25 mm to 20 mesh
Fine hammer mills: It can reduce 0.1 to 15 ton/hr of feed to < 200
mesh
https://www.911metallurgist.com/blog/hammer-mill-operating-principle
ADVANTAGES OF HAMMER MILL
• It produces specified top size without the need for a closed- circuit crushing
system.
• It produces relatively numerous size distributions with a minimum of fines
due to self-classification.
• It has a high reduction ratio and high capacity whether used for primary,
secondary or tertiary grinding.
• Relatively reasonable energy requirements.
• Brittle materials are best fractured by impact from blunt hammers.
• It is capable of grinding many different types of materials
• The machine is easy to install and operate and its operation is continuous.
• It occupies small space.
• It is easy to maintain and clean.
• It is inexpensive.
• Its ease of manufacture allows easier local construction.
DISADVANTAGES OF HAMMER MILL
• Not recommended for the fine grinding of very hard and abrasive
material due to excessive wear.
• Not suitable for low-melting sticky or plastic-like material due to
heat generation in the mill head as a result of mill fouling.
• The mill may be choked if the feed rate is not controlled, leading
to damage.
• There is a possibility of clogging of the screen.
Fine crusher (Grinders)
The end product has the fineness in the range of 50 μm to 5 mm.
Impact mills work on the principle by impact of fast revolving hammers with the particle and by collision of particles
over the specially designed stationary grinding tracks on the walls of the grinding chamber
Applications : Attrition
• Chemical industries (fertiliser, pesticide, paints and pigments)
• Pharmaceutical industries (antibiotics, herb teas, roots, rose hips) herbs
and spice industries (savoury, rosemary, onions, turmeric)
• Food and confectionery industries (oat and potato flakes, casein, sugar,
starch, food colourings);
• Animal feed industries (soya meal, freeze-dried meat, corn cobs);
wood and chipboard industries; mineral powder industries; plastics
industries (PVC, PTFE, PE); etc.
• Fine impact used with the system of cryogenic grinding with liquid
nitrogen, and it also comes with a special design of a 10-bar (over
pressure) grinding system for grinding dust explosive materials,
acrylic resin, cornstarch, sugar, insecticides, vitamins, etc.
Ball Mill Types: Wet vs. Dry
•Wet Ball Mill
• Simple structure, minimal accessories.
• Flared discharge port with built-in spiral for easy ore discharge.
• Better performance, higher grinding efficiency.
• Lower moisture content requirement for ores.
• Less auxiliary equipment.
• Lower investment (about 5%-10% less).
•Dry Ball Mill
• More complex structure.
• Straight discharge port with air induction, dust exhaust, and collector.
• Comparative lower efficiency.
• Potential need for higher moisture content.
• More auxiliary accessories.
• Higher investment.
Continuous Operation: Ball Mill
• Material is fed from the left side through a 60° cone.
• Product is discharged from the 30° cone on the right side.
• Balls within the mill rise and then drop onto the feed.
• Solids are ground and reduced in size through impact.
• As the shell rotates, large balls tend to move towards the feed end, while small
balls gather near the product end.
• Initial breaking of materials is achieved by the impact of large balls dropping
from a higher distance.
• Smaller particles are broken down by the impact of smaller balls from a shorter
distance.
• Adjusting the feed rate leads to obtaining coarse products.
• Altering the rotation speed affects the fineness achievable for a given capacity.
Ball Mill Advantages:
▪ Low Installation Cost
▪ Low Power Requirement
▪ Suited for All Hardness Levels
▪ Batch & Continuous Modes
▪ Open & Closed-Circuit Grinding
▪ Safe Grinding of Explosive Materials
▪ Cost-effective Grinding Medium
l - Weight of Balls - Speed of Mill Rotation - Level of Material in the Mill Ball Mill Advantages:
DISADVANTAGES
- Low Installation Cost - LowOF BALL
Power MILLS
Requirement - Suited for All Hardness Levels - Batch & Continuous Modes - Open
•& Closed
Contamination
Circuit Grinding -of
Safeproduct
Grinding ofmay occur
Explosive as -aCost-effective
Materials result ofGrinding
wear Medium
and tear which occurs
principally from the balls and partially from the casing.
• High machine noise level especially if the hollow cylinder is made of metal,
but much less if rubber is used.
• Relatively long milling time.
• It is difficult to clean the machine after use.
Factors effecting the size of the product
▪ Feed rate
▪ Properties of feed material
▪ Weight of the balls
▪ Diameter of balls
▪ Slope of mill.
▪ Speed of rotation mill
▪ Level of material in the mill.
ACTION IN TUMBLING MILLS
The speed of rotation is a crucial factor for ball mills
4𝜋2𝑁𝑐2 𝑅−𝑟
cos ө = cos 0o = 1 =
𝑔
1 𝑔
𝑁𝐶 =
2𝜋 𝑅−𝑟
Typical application :
Grinding of highly pure substances such as fluorescent powders, silica gels, silicic
acids for chromatographic applications, etc.; highly abrasive materials such as tungsten
carbide, silicon carbide, boron carbide, corundum, etc.; temperature sensitive substances
like plant protectives, wax, resins, etc.; minerals like talcum,
mica, graphite, quartz; cryogenic grinding with liquid nitrogen; and toner grinding
Cutting machine
• The feed stocks are too resilient to be broken by compression, impact or
attrition
• Applications in many manufacturing processes but are especially well
adapted to size reduction problems in making rubber and plastics.
Cutting may be accomplished by single point or multi point tools.
• Particle size ranges : (2mm -10 mm)