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Ink Grinding: How Many Passes Are Enough, and When More Passes Stop Helping

Passes are found by gauging, not assumed

Process note by the POLYC Engineering Team, November 2026

"Run it through again" is the most common instruction in an ink plant and the most expensive one, because on most mills the second and third passes are doing less work than the operator believes.

This note is about how to decide the pass count with evidence rather than habit. It covers what a pass physically means on a three roll mill versus a bead mill, why the fineness curve flattens instead of continuing down, how to find that flat point on the plant floor with a Hegman gauge, and what an unnecessary pass actually costs. The photographs are of the mill internals that do the work.

Red pigment paste running down the apron of a three roll mill into a receiving drum
Pigment paste leaving the apron of a three roll mill. What determines whether this paste needs another trip through the nip is the gauge reading taken after it, not the color of the sheet.

Quick Answer

The questionHow many grinding passes an ink needs before the fineness specification is met.
The rulePasses are found by gauging after each one, not fixed in advance. Stop at the pass where the reading stops falling.
Why there is a limitA mill opens agglomerates. Once they are open, what is left is primary particles the nip or the media cannot split.
What a pass meansOn a three roll mill, one trip through the nip. On a bead mill, one turnover of the batch volume through the chamber.
How to measureHegman gauge, drawn down after each pass, on the same sample point every time.
The cost of one pass too manyBottleneck time, heat that must be cooled, wear on rollers or media, and on some organic pigments a shade shift.

A Pass Means Different Things on Different Mills

The word pass is used loosely, and the looseness causes real mistakes. On a three roll mill a pass is a discrete, countable event: the paste is fed at the back, travels through the gaps between the rollers, and leaves on the apron. One trip, one pass, and the operator knows exactly how many have happened.

On a bead mill or a basket mill there is no such count. The batch is recirculated through a chamber full of media, and what matters is how many times the batch volume turns over. That is a product of flow rate and time, not a count of operator actions. Asking "how many passes" of a recirculating mill is really asking "for how long, at what flow" — and the two questions have different answers for every model.

Machine typeWhat a pass isWhat to recordWhere the number comes from
Three roll millOne trip of the paste through the roller nips.Pass count, nip settings, roll temperature.Counted by the operator. Discrete and repeatable.
Bead mill (horizontal or vertical)One turnover of the batch volume through the grinding chamber.Flow rate, batch volume, circulation time, tip speed.Calculated: volume divided by flow gives the time for one turnover.
Basket millOne turnover through the media held inside the basket.Batch volume, basket capacity, circulation time.Calculated, and dependent on the basket-to-batch volume ratio.
Inline disperserOne trip through the rotor-stator head, in a single pass or in a loop.Throughput, solids feed rate, loop count if recirculating.Set by the feed rate rather than by a batch time.

The practical consequence is that a recipe written as "three passes" transfers between machines only if both machines count passes the same way. A recipe written as a gauge reading after a defined amount of energy input transfers much more reliably. This is why a three roll mill selection decision and a bead mill selection decision produce different process sheets even for the same ink.

The Fineness Curve Has a Floor, and the Mill Does Not Set It

Grinding in an ink plant is mostly not grinding at all. The pigment arrives as primary particles, already at their final size, clustered into agglomerates and aggregates. What the mill does is separate the clusters and wet the exposed surface with vehicle. The primary particles themselves are not being broken.

That distinction explains the shape of the curve. Agglomerates are held together by van der Waals forces and are easy to separate, so the first pass produces a large drop in gauge reading. Aggregates are held by stronger forces and separate slowly, so the second and third passes produce smaller drops. Below the aggregate size there is nothing left for the mill to break, and the curve goes flat whatever the machine does.

What is being separatedForce holding itHow easily the mill opens itEffect on the gauge
Agglomerate (clusters of particles)Weak: van der Waals and electrostatic.Easily, in the first pass or two.Large drop. This is where most of the reading improvement happens.
Aggregate (fused particle clusters)Strong: sintered or crystal bridges.Slowly, and only with sufficient shear stress.Smaller drops that diminish pass by pass.
Primary particleCrystal lattice.Not broken by a three roll nip or by bead impact at normal operating conditions.No effect. The reading has reached its floor.

The floor itself is a property of the pigment, not of the machine. Two different pigments in the same vehicle, run on the same mill, can have floors several Hegman units apart. This is why copying a pass count from one formulation to another fails: the number was valid for that pigment's floor, not for the machine.

Yellow pigment paste running down the apron of a three roll mill into a drum
The same mill, a different pigment. The pass count that suited the red paste is not transferable, because the floor of the fineness curve belongs to the pigment.

Find the Plateau With a Gauge, Not With a Feeling

The plateau is the pass at which the gauge reading stops falling. Finding it takes one trial batch and about half an hour, and it replaces a guess that otherwise persists for years.

  1. Draw the sample the same way every time, same point in the batch, same temperature, same drawdown speed. A gauge reading taken from a hot sample at the mill outlet and one taken from a cooled sample in the lab are not comparable
  2. Gauge after every pass, including the first, the first reading is the baseline that tells you how much work one pass actually did
  3. Write down the drop between passes, not just the reading. A fall from 6 to 4 is one thing; a fall from 4 to 3.5 is the signal that the plateau is close
  4. Stop when the drop is at or below the gauge resolution, if the gauge reads in half units and the drop is half a unit, the next pass is not measurable. That is the stopping point
  5. Confirm on the second batch, one batch can mislead through sampling error. Two batches showing the same plateau is enough to write the pass count into the batch record
PassGauge readingDrop from previousReading of the data
16.0—Baseline. Most of the agglomerate separation has happened.
24.51.5Still substantial. The pass is earning its machine time.
33.80.7Diminishing but real. Worth one more.
43.50.3Below the useful resolution of the gauge.
53.50.0The plateau. Pass 5 bought heat and wear, not fineness.

In this example the answer is three passes, and pass four is the last one anyone can defend. The table is illustrative rather than a specification — the numbers come from the pigment and the vehicle, so the exercise has to be run on the actual formulation.

Where the Extra Passes Go When They Are Not Reducing Fineness

An unnecessary pass does not do nothing. It does the wrong things, and they all show up somewhere in the plant eventually.

Where the energy goesWhat it looks likeWhy it matters
HeatRoll temperature climbs, cooling water return warms, batch temperature rises.Shifts the vehicle viscosity, can move the shade of heat-sensitive pigments, and on a bead mill raises media and seal wear.
Wear on the working partsRoller surface dulls, pin tips round off, media rounds and shrinks.Raises regrinding cost and puts wear debris into the batch, which shows up as fineness specks that were not there before.
ContaminationMetal or media fragments in the ink; on a three roll mill, roller material itself.A batch held on fineness by a speck that came from the machine will not clear no matter how many times it is passed.
Bottleneck timeThe mill queues, downstream filling waits, the batch record shows a longer cycle.The mill is usually the constraint in an ink plant, so an unnecessary pass costs throughput on the whole line, not just on that batch.

The contamination row is the one that wastes the most time in practice, because it presents as a fineness problem. When the gauge reading will not fall however many passes are run, the next question is not "how many more passes" but "what is the speck made of". A batch that has reached its floor will not improve, and adding passes makes the wear worse.

Magenta pigment paste leaving a three roll mill apron into a drum
Three pigments, three floors. A paste that will not gauge finer after the plateau is usually limited by the pigment, or held by a contaminant the mill is shedding.

What One Extra Pass Costs, in Numbers You Can Take to Production

The argument for cutting a pass is easier to win with arithmetic than with principle. The inputs are all on the batch record: the mill throughput for this formulation, the batch size, and the labor and energy rate for the mill.

InputWhere to find itExample value
Batch sizeBatch record.1,000 kg
Mill throughput on this formulationTimed run, or the batch record over several batches.250 kg per hour per pass
Time per passBatch size divided by throughput.4 hours
Mill hours available per yearShift pattern minus maintenance.4,000 hours
Passes actually runBatch record.4
Passes needed, from the plateau testThe gauge table above.3

One pass removed on this batch frees four hours of the constraining machine. Across a year of batches at that size it is the difference between 1,000 and 1,333 batches at the same mill capacity — before counting the cooling load, the roller regrinding interval or the media replacement interval. The gain is not theoretical, and it does not require buying anything.

On a recirculating mill the same arithmetic is expressed as circulation time rather than pass count, and the lever is the same: find the time at which the gauge stops falling and stop there. A grinding media guide is worth reading alongside this, because media size and fill level move the plateau itself rather than just the speed of reaching it.

Interior of a grinding basket showing ceramic pins on the rotor and the wedge-wire screen
Inside a basket mill: ceramic pins on the rotor and a wedge-wire screen at the wall. Media size and pin condition move where the fineness plateau sits, not only how fast it is reached.

Check These Before You Add a Pass

When a batch will not reach its fineness specification, adding a pass is the default response and usually the wrong first move. These are the causes to rule out in order, because each of them makes extra passes ineffective rather than merely wasteful.

CauseHow to confirm itWhat adding a pass does
Pre-dispersion was incompleteLook for undispersed lumps in the feed to the mill, or a gauge reading that varies between sample points in the same batch.Partly helps, at the cost of machine time. Better to fix the premix.
Media or pins are wornMeasure a sample of media; check pin tip profiles. Compare with the interval on the maintenance record.Makes it worse. Worn media shear less and shed more debris.
Nip or gap setting is wrong for the pigmentCompare the current setting with the process sheet; check roller parallelism.Cannot compensate. The shear stress in the nip is set by the gap.
Vehicle does not wet the pigmentGauge reading falls then rises again, or the paste looks grainy rather than speckled.No effect. The problem is chemical, not mechanical.
The specification is below the pigment's floorCompare the requested fineness with what the pigment supplier states is achievable.Never reaches it. The specification has to be renegotiated.

The last row is uncomfortable and worth naming, because it happens: a fineness was written into a specification that the chosen pigment cannot reach on any equipment. Adding passes hides that for a while, then the batch record shows a mill running far past the plateau and the investigation starts from the wrong end.

Stainless grinding basket assembly with lift rods and locating plate
The basket assembly is the part that has to be raised, cleaned and inspected between colors. Its condition is the first thing to check when a batch stops gauging finer.

How This Maps Onto a Production Line

In a working ink plant the pass decision is not made in isolation. Kneading, paste transfer, milling and filling each constrain the others, and the pass count is one of the settings that decides whether the mill is the bottleneck or not.

On a high-viscosity ink line the sequence normally runs: vacuum kneading of the pigment into the vehicle, hydraulic discharge of the thick paste, then the milling stage, then filling. The kneading stage determines how much agglomerate reaches the mill, so a well-run premix is what makes a low pass count possible. A high-viscosity ink production line is laid out around that logic, with the milling stage sized from the pass count the formulation actually needs.

Where the ink is lower in viscosity and the pigment is easier to wet, the dispersion stage may be continuous rather than batch. An inline dispersion machine with powder induction wets the powder as it is drawn into the rotor-stator head, which reduces the agglomerate load handed to the mill and therefore reduces the passes needed. And for automotive and similar coatings where the batch is recirculated through a basket, the basket mill for automotive paint sets the plateau through media size and basket-to-batch ratio rather than through a pass count.

The common thread is that the pass count is an output of the line design and the formulation together. Treating it as an independent dial that an operator can turn up is what produces mills running two passes past the plateau.

Send Us the Ink and the Target Fineness

Tell us the pigment, the vehicle, the batch size and the fineness you have to reach. Our engineers will tell you which mill type suits that combination, what pass or circulation time to expect, and where the plateau is likely to sit — quoted directly from the Wuxi factory.

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Where These Mills Are Built

Roller bodies are ground and chilled, basket chambers and screens are machined, and the hydraulic lift columns are assembled in the same plant. That matters here because the pass count depends on the nip gap holding its setting and the screen slot staying uniform, which are machining questions before they are operating questions.

POLYC manufacturing plant floor with machining and assembly bays
The POLYC manufacturing base in Wuxi, where the three roll mills and basket mills in this note are built.

It is worth asking any supplier what they measure before dispatch, because the answer tells you what the pass count is really resting on. Roller parallelism, nip gap repeatability and screen slot width are the three that decide whether a documented pass count will reproduce on your floor.

Frequently Asked Questions

How many passes through a three roll mill does ink need?
It depends on the pigment and the target fineness, but the number is discovered rather than assumed. Run one pass, gauge the fineness, run another and gauge again. Keep going while the gauge reading keeps falling. The pass at which the reading stops falling is the last useful pass, and everything after it buys heat, wear and machine time instead of fineness.
Why does the fineness stop improving after a certain number of passes?
Because the work left to do is no longer the work the machine can do. A three roll mill breaks down pigment agglomerates, which are clusters held together by weak forces. Once those clusters are opened, what remains are primary particles and tightly bound aggregates that the nip cannot split. Additional passes keep shearing the vehicle and generating heat, but the particle size distribution barely moves.
Does one pass on a bead mill equal one pass on a three roll mill?
No, and treating them as equivalent is a common source of confusion. On a three roll mill a pass is a discrete event: the material goes through the nip once and leaves. On a bead mill the material is recirculated, so what matters is the number of times the volume turns over through the grinding chamber, which is the flow rate multiplied by the residence time, not a count of operator actions.
What is a Hegman gauge and why use it instead of a particle size analyzer?
A Hegman gauge is a machined wedge with a groove of decreasing depth. The ink is drawn down the groove and the depth at which specks first appear reads as fineness. It is a production-floor instrument: fast, inexpensive and directly comparable to the specification the customer agreed. A particle size analyzer gives a distribution, which is useful for development, but it does not answer the question the batch record asks.
What does an unnecessary pass cost?
Three things at once: machine time on a mill that is usually the bottleneck, heat that has to be removed by the cooling water and that can shift the vehicle or the pigment, and wear on rollers, pins or media. On a three roll mill there is a fourth cost, which is contamination from the rollers themselves as they wear.
Can more passes make an ink worse?
It can. Over-grinding reduces the transparency of some organic pigments, shifts the shade and raises the temperature of a heat-sensitive vehicle. On a bead mill, running far past the plateau also increases the amount of media wear debris in the batch. The plateau is a stopping point, not a starting point.

Explore Related Resources

High-Viscosity Ink Production Line

Kneading, hydraulic paste discharge, three roll milling and filling laid out as one line, with the milling stage sized from the pass count.

Three Roll Mill Working Principle

How the nip produces shear stress, and how roller diameter and speed ratio change what one pass can do.

Bead Mill Grinding Media Guide

Media size, density and fill level, and how each one moves the fineness plateau rather than just the speed of reaching it.

IDS Inline Dispersion Machine

Powder induction into a rotor-stator head, for lower-viscosity inks where dispersion can be continuous.

Basket Mill for Automotive Paint

The PZM series, where the plateau is set by media size and basket-to-batch ratio rather than by a pass count.

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