A Practical Guide to High-Speed Dispersion
by Herman Hockmeyer
February 1, 2010
Every
year new people join the various businesses that use mixing machines in their
laboratories and manufacturing facilities. What seems obvious to many
experienced personnel can be complicated and frustrating to these newcomers.
The purpose of this guide is to present a fundamental explanation of the “what,
how, when and why” about high-speed dispersers. This guide is dedicated to
those newcomers who will become the experts of the future.
What is a Disperser?
A
disperser is a type of mixer used to rapidly break apart lumps of powdery
material, uniformly distributing and wetting them in a liquid. It is also used
to dissolve soluble solids in a liquid.
How Does it Work?
A
disperser works on the principle of energy transfer. A disc-type blade is
mounted at the bottom end of the mixing shaft and rotated at a relatively high
tip speed. (Tip speed is the speed at the outer tip or edge of the rotating
disc. Tip speeds typical of dispersers are measured in feet per minute,
calculated by multiplying the constant 3.14 times the diameter in feet of the
disc times the revolutions per minute of the mixing shaft. The industry
terminology for tip speed is peripheral
velocity.)
The solids and liquids are drawn into the rotating disc by the suction it
creates. This suction usually results in a visible whirlpool from the top of
the mixture down to the top of the disc. A similar whirlpool is created below
the disc extending from the bottom of the tank to the underside of the disc.
The whirlpools are actually two individual vortices, although common industry
practice refers only to the visible upper one known as the vortex.
When the solids/liquid mixture enters the vortices and is sucked into the
high-speed disc, the energy (horsepower used to drive the disc) is
instantaneously transferred from the disc to the mixture. This intensively
focused energy transfer creates tremendous, instantaneous velocity changes in
the mixture as it progressively contacts the disc. (Think of the mixture as a
series of individual horizontal layers descending downward from the top and upward
from the bottom on to the face of the rotating disc.) As each layer contacts
the disc it is instantaneously accelerated from the slow-moving vortex into the
very high speed of the disc and projected outward away from the disc and toward
the wall of the tank. The rapid tearing apart of layer upon layer of the
mixture is shear force, commonly referred to as shear.
What is the Difference Between a Disperser and an Agitator?
Both
the disperser and the agitator will mix. Mixers are sometimes compared to
pumps. The performance of a pump is usually measured in the horsepower required
for its gallons per minute discharge capacity. A disperser is a high-powered,
low-volume pump. Considering its substantially higher horsepower per gallon requirement,
a disperser is an inefficient mixer. An agitator is a low-powered, high-volume
pump – it is an efficient mixer. A typical dispersion application (such as
dispersing pigment to make paint) requires about 1 HP for every 10 gallons
compared to an agitator application (such as thinning the pigment dispersion
with solvent), which requires about 1 HP for every 100
gallons.
Figure 1 illustrates a Paddle Blade Agitator and also three dispersers using
saw blades. Although the agitator is the more efficient pump, it does not
create sufficient shear to disperse most solids into the
liquids.
Moderate-shear dispersers, operating at about one half the normal blade speed
of high-shear dispersers, are sometimes used in place of agitators when some
shear is required. Typically the discs have larger teeth to promote better
pumping and require about one third the horsepower of a high-shear disperser
but still three times more than an agitator.
When Do I Need to Use a Disperser Rather Than an Agitator?
A
disperser will generate the shear force necessary to rapidly de-lump powders in
a liquid. This de-lumping process is called dispersion. The agitator is an
efficient mixer but it typically cannot generate sufficient shear to disperse
powders, regardless of how long they are mixed. This is because the forces
holding the agglomerates (lumps) together are stronger than the force of the
mixer trying to pull them apart. Mixers can do an excellent job of holding
dispersed (sheared) mixtures in suspension, but they typically cannot disperse
(shear) the mixture.
What are the Limitations of a Disperser?
The
limitations of dispersers are product rheology-dependent. That means much has
to do with the flow characteristics of the product being dispersed. If it is
too thick it will not move freely to and from the blade from the wall of the
tank, hence dead zones of undispersed materials in the tank. If it is too thin
there may not be sufficient body to generate tearing between the layers of
product as they consecutively contact the rotating disc. Tacky or “sticky”
products may also hinder the ability of the blade to generate proper flow
within the tank. Proper flow should resemble a doughnut with the blade acting
as the hole. Product should flow in a circumferential pattern around the tank
wall while simultaneously rolling inward to contact the blade. This type of
flow is sometimes referred to as a doughnut roll. If undispersed particles
stick to the walls of the tank or the flow is insufficient to roll the entire
dispersion into the blade, a thorough dispersion is unachievable. Without flow, there is no “go”.
Adding
supplementary agitation to help feed the disperser blade can extend the
operating range of a disperser. This type of machine is typically called a
dual- or triple-shaft mixer. It has both a shaft with a slow-moving sweeper
blade passing close to or scraping the tank wall to promote mass flow, and one
or more additional mixing shafts with disperser blades to generate high shear.
What Different Types of Dispersers are Available, and Which Type is Best for Me?
Dispersers
are available with single-speed, two-speed and variable-speed mixing shafts.
Some are directly mounted atop a tank and are fixed to operate with the blade
in only the original mounting position. Other tank-mounted dispersers can raise
and lower the blade by several feet (to better control the vortex) without
exiting the tank. Another design, perhaps the most popular, places the
disperser on top of a hydraulic lift, similar to the ones used at gas stations
to lift automobiles, which is mounted to the floor. The lift enables the
operator to raise the blade completely out of the mixing vessel and change to
another vessel. This technique uses small, portable tanks (up to 500 gallons)
that can be rolled away on wheels or picked up with a fork truck. Larger,
stationary tanks are often centered within the arc of rotation from the center
of the hoist to the center of the mixing shaft.
The
bridge containing the mixing shaft at one end and the motor at the other is
then rotated from one tank to the next. Choosing the best configuration of
available designs is a combination of functional need and economic
justification. An experienced process engineer or consultant familiar with
dispersers is a good investment. Figures 2 and 3 illustrate two different types
of dispersers.
How Do I Select the Proper Size Disperser?
The
size of a disperser is generally thought of in terms of horsepower. However,
there are dispersers that are dimensionally very large but use relatively small
amounts of horsepower. These are exceptions to the rule.
The horsepower of the disperser is related to
the blade diameter and the anticipated load the blade will create at a given
speed and resistance. The resistance is a function of the rheology of the
dispersion as well as the viscosity and density. However, as the blade diameter
increases, the horsepower increases disproportionately. For example: If a 12”
diameter blade were to draw 20 HP in a non-Newtonian system (viscosity changes
with shear), doubling the blade diameter could increase the horsepower demand
by a factor of 5. That means a 24” diameter blade of the same design, working
in the same product, would require 100 horsepower. The larger blade would also
pump considerably more so it would lend itself to working in a much larger
(perhaps 5 times the volume) tank and producing a much greater amount of
finished product in the same time period.
Horsepower requirements are interrelated with blade diameter, tank
diameter, batch size, rheology, viscosity and density. Variations outside
recommended operating parameters usually result in compromises in performance
such as poor particle separation, extended dispersion times, and a decrease in
quality of the finished product.
How Do I Select the Proper Size Tank for My Disperser?
The ideal tank for most dispersers is slightly taller
than wide. Dished or bowl-shaped bottoms aid in preventing solids from
accumulating in sharp corners associated with flat bottoms. Equally as
important, dished bottoms drain to the center where a discharge valve can be
installed. Flush-bottom ball valves welded into the center of the dished
bottoms further enhance the ease of discharge and cleaning. Optimum tank
geometry is an integral part of several aspects that need be considered and are
listed further in in this paper.
How Do I Select the Proper Size Blade for My Disperser?
The
blade is sized based upon the flow characteristics of the product and the
desired degree of dispersion. The thicker the product, the larger the blade
diameter must be in comparison to the tank diameter. Conversely, the thinner
the product, the smaller the blade diameter must be in comparison to the tank
diameter. This comparison is called the blade to tank ratio. Thick products
like heavy, flowable pastes may require a ratio of 0.5:1. Moderate products
like paint require 0.33:1 ratio and thin products like stains can work with up
to a 0.125:1 ratio. For example: if the blade to tank ratio is 0.33:1, and the
tank diameter is 6 ft, the blade diameter would be 2 ft.
How Do I Know When it is Time to Replace My Blade?
Once the batch formula has been process optimized, the
typical time required to reach maximum dispersion should range from 20 to 30
minutes after the last ingredients have been added. Longer times do not usually
result in better dispersions and, in some cases, can be detrimental because of
the higher batch temperatures generated by the high-shear disperser blade. As
the blade begins to wear, longer and longer batch times are required to get to
the optimized dispersion standard. Saw tooth type disperser blades should be
replaced once the blade tips are worn to half their original height.
What Type of Blade Works Best on My Disperser?
High-shear
disperser blades are available in a range of styles and sizes (Figure 4). They can
be generally categorized into two groups, open saw tooth and ring-type. Both
categories work well when used under the proper operating
conditions.
The open saw tooth
blade is
the most popular because of its low cost, ease of cleaning, and general
utility. It is available in a wide range of tooth design. As the teeth increase
in size and become more aggressive in shape, the pumping ability of the blade
increases. However, as pumping (turbulent flow) increases, shear decreases. A
high pumping saw blade still generates significant shear compared to a low
shear paddle blade agitator. This aspect is an important consideration when
determining exactly what is to be achieved in the finished
product.
The
ring-type blade is a powerful tool for optimizing disperser
performance. It is more expensive to purchase and consumes more horsepower than
the saw blade. It typically runs at higher tip speeds (5700 + fpm) and performs
more like a rotor stator. Instead of solely depending upon the face of the disc
and the configuration of the saw-tooth for shear and flow, much of the ring
blade’s work is done hydraulically as centrifugal force forces the product
between the contoured rings creating velocity differentials and a high pressure
zone within and then instantaneously discharging into the low pressure area
outside the rings, creating a film-splitting venturi effect. Additional heat is
created as a by-product of the higher shear. However, in some cases, this
higher shear level eliminates or greatly reduces any subsequent milling that
may have previously been required.
What Other Factors Affect the Performance of My Disperser?
Formulating for a disperser is an important part of
reaching optimum dispersion. Optimizing a formula can sometimes have more to do
with how and when ingredients are added since basic recipe changes may not be
acceptable. In most instances, rapid addition of about half the total amount of
powders into the liquid vehicle is acceptable, although careful observation of
each initial formula is prudent to ensure powders are not floating on top of
the batch for more than a few seconds. Adding dry powders too rapidly can
“choke” the blade and may result in an incomplete, unstable dispersion. The
last half of the powders should be added progressively more slowly until the
final percentage completes the formula. The blade speed should be adjustable
from a minimum of one half the final tip speed at the beginning of the powder
addition to the maximum of the final tip speed as the batch thickens and flow
slows. This procedure helps prevent splashing and over-vortexing, which are
inefficient for dispersion and can cause excessive air entrapment in the
dispersion. Assuming the rules of tank size, horsepower, blade size, etc., have
been followed, most dispersions are completed within 20 to 30 minutes after the
last of the powders have been properly added. Continuing the dispersion process
beyond that time is usually unproductive and can actually cause harm to some
ingredients if the temperature continues to rise.
Typically dispersers
perform best when the flow pattern is doughnut shaped and the blade tips are
traveling at about 5000 ft/min in a medium viscosity (1500 to 5000
centipoises). Lower tip speed may be acceptable at higher viscosities and
higher tip speeds may be acceptable at lower viscosities to get to the same
shear rate and stress. In other words, shear is a function of blade tip speed and product
rheology.
How Do I Operate My Disperser for Optimum Performance?
The
following is a summary of the detailed aspects outlined in the above
paragraphs. Optimum performance requires the following
criteria.
1) Start with a clean tank.
2) Correct blade to tank ratio.
3) Proper formulation.
4) Suitable blade in good condition.
5) Highest appropriate blade tip speed.
6) Correct tank geometry (length compared to width).
7) Sufficient horsepower.
8) Proper technique of adding raw materials.
9) Proper rheology.
What Safety Measures Must I Follow and Why?
· Read the operation and safety
instructions supplied by the manufacturer. If they are not available call the
manufacturer and request additional copies.
- Be
certain that all operators are properly trained on the use and drilled on the
potential dangers involved with the disperser.
- Do
not operate the machine unless all the appropriate safety features are in place
and functioning properly. On hoist mounted units that raise and lower the
blade, these features include but are not limited to: A) mixing shaft guard; B)
tank holder with limit switch; C) limit switch on lift to prevent machine from
operating with blade or shaft within reach of the operator.
The disperser is a very fast and powerful machine. Serious and fatal accidents
can occur in a split second of carelessness. Human reflex is no match for the
instantaneous danger of operating a disperser unsafely. Never sacrifice safety
for convenience.
For further information, visit www.hockmeyer.com.
|