Skip to main content
Calcimator

Thermal Barrier Coating Calculator

Convert Krebs Units (KU) to centipoise (cP), calculate Hegman grind particle size, and estimate dry film density from PVC and component densities.

About this calculator

This bundles three separate paint-QC checks that share no formula but routinely get run together on the same batch card. First is viscosity conversion: a Krebs-Stormer viscometer reads in Krebs Units (KU), an awkward non-linear scale, so this calculator applies the polynomial fit log10(cP) = 2.8452 + 0.01218×KU + 0.00007463×KU² to get a Brookfield-equivalent centipoise value (and Pa·s at 1/1000th that), then flags whether your KU reading clears a specification minimum you set. Second is dispersion fineness from a Hegman gauge, a wedge-shaped grind gauge scaled 0 (coarsest) to 8 (finest); the calculator estimates maximum particle size as (8 − Hegman) × 12.5 µm, a simple linear approximation — automotive and high-gloss work typically needs Hegman 7+, while primers can get away with 4–5.

Third is dry film density, computed as a straight volume-weighted average of pigment and binder densities using PVC (Pigment Volume Concentration) as the mix fraction: ρ_film = (PVC/100)×ρ_pigment + (1−PVC/100)×ρ_binder. A companion opacity index compares your PVC and pigment density against a TiO₂-at-22%-PVC baseline of 100 — it's a relative hiding-power indicator, not a measured contrast ratio, so use it to compare formulations against each other rather than as an absolute spec value. None of these three calculations feed into each other; each input group is independent, so you can use just the section you need.

Inputs

%

Results

Viscosity (cP)

47,406

Particle size (µm)

25

Viscosity (Pa·s)47.41
Passes spec (1=yes)1
Dry film density (g/cm³)1.76
Opacity index100
Spec Min CP26,284.62
How to Use This Calculator
  1. Enter the Krebs-Stormer viscosity reading (KU) and the specification minimum (KU) to check.
  2. Enter the Hegman grind gauge reading (0 = coarsest, 8 = finest) for dispersion fineness.
  3. Enter PVC (%) along with pigment density and binder density (g/cm³) for the film.
  4. Read viscosity in centipoise and Pa·s, and whether the KU reading passes the spec minimum.
  5. Read the estimated particle size (µm) from the Hegman reading, plus dry film density and opacity index.

How the result changes with Viscosity (KU)

Viscosity (KU)Viscosity (cP)Particle size (µm)
483,99725
7112,19525
1411,112,49725

What each input means

Viscosity (KU)
Krebs-Stormer viscometer reading in Krebs Units. Architectural paints: 85–110 KU.
Spec minimum (KU)
Minimum acceptable KU from product specification.
Hegman grind gauge
Fineness of grind reading (0 = coarsest, 8 = finest). Automotive: 7+, primers: 4+.
PVC (%)
Pigment Volume Concentration. Gloss paints: 15–25%, flat: 40–55%.
Pigment density (g/cm³)
Density of primary pigment. TiO₂: 4.1, iron oxide: 5.1, calcium carbonate: 2.7.
Binder density (g/cm³)
Density of cured binder/resin. Acrylic: 1.05–1.2, alkyd: 1.0–1.1, epoxy: 1.1–1.3.

What each result means

Viscosity (cP)
Brookfield-equivalent viscosity in centipoise converted from Krebs Units.
Viscosity (Pa·s)
SI viscosity unit (1 Pa·s = 1000 cP).
Passes spec (1=yes)
Whether KU reading meets specification minimum.
Particle size (µm)
Maximum particle size from Hegman reading: (8 − Hegman) × 12.5 µm.
Dry film density (g/cm³)
Calculated from PVC, pigment density, and binder density.
Opacity index
Relative hiding power (100 = TiO₂ at 22% PVC baseline).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Viscosity (KU) = 95, Spec minimum (KU) = 85, Hegman grind gauge = 6, PVC (%) = 22 = 6 input(s) provided
  2. Calculate Viscosity
    Viscosity = pow(10, log10cP)
    47406 = 47406
  3. Calculate Particle size
    Particle size = (8 - hegmanGrind) * 12.5
    25 = 25
  4. Calculate Viscosity
    Viscosity = centipoise / 1000
    47.406 = 47.406
  5. Calculate Passes spec
    Passes spec
    1 = 1

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why is Krebs Units converted with a polynomial instead of a simple linear formula?

Krebs-Stormer viscosity doesn't scale linearly with true Brookfield-equivalent viscosity — the relationship curves more sharply at higher KU readings. This calculator uses the polynomial fit log10(cP) = 2.8452 + 0.01218×KU + 0.00007463×KU², which tracks the real curvature of the KU-to-cP relationship across the full 40–141 KU range more accurately than the simpler exponential approximation noted in the engine's comments, which is only accurate within about ±10% and only over the narrower 80–110 KU band.

Is the Hegman particle size figure a precise measurement?

No — it's a linear approximation, (8 − Hegman) × 12.5 µm, built from the fact that the Hegman gauge's 0–8 scale corresponds to a roughly 0–100 µm wedge depth. It gives you a reasonable estimate of the largest particles remaining in the dispersion, but the actual gauge measures where visible scratches first appear in the wedge, which isn't a perfectly linear function of particle size — treat the output as a quick cross-check, not a substitute for reading the gauge directly.

Why does a higher PVC not always mean better hiding power?

The opacity index in this calculator scales directly with both PVC and pigment density relative to a TiO₂-at-22%-PVC baseline, so on paper more pigment always raises the index. In practice, pushing PVC too high moves the formulation past its Critical PVC, introducing air voids that actually scatter light differently and can hurt film integrity and washability even while the raw pigment loading goes up — this calculator's opacity index doesn't account for that transition, so it's only a fair comparison between formulations that stay below their respective CPVC.

Do the three sections of this calculator need to be filled out together?

No. Viscosity conversion, Hegman particle size, and dry film density are three independent checks that happen to run on the same QC batch card, but none of their formulas depend on another section's inputs or outputs. You can fill in just the viscosity fields to check a KU reading against spec, for example, and ignore the PVC and Hegman fields entirely.

The questions that sit next to this one — chosen by subject, including calculators filed under a different category.

More in Manufacturing, Industrial & Coatings.