Pore Size Calculator

Analyze pore size through trusted physical relationships. Switch modes, inspect trends, and save useful outputs. Built for labs, filters, membranes, ceramics, and research work.

Calculator Inputs

Best for pressure-driven intrusion or bubble point style estimates.
Best when rise height is measured from a wetting liquid.

Example Data Table

Method Key Inputs Estimated Diameter Comment
Washburn γ = 0.072 N/m, θ = 0°, ΔP = 180 kPa 1.60 µm Good for pressure-based entry estimates.
Washburn γ = 0.048 N/m, θ = 25°, ΔP = 350 kPa 0.50 µm Higher pressure lowers the inferred size.
Capillary Rise γ = 0.072 N/m, θ = 0°, ρ = 1000 kg/m³, h = 0.30 m 97.89 µm Useful for wetting liquids in capillary channels.
Laminar Flow μ = 1 cP, L = 1 mm, Q = 2 mL/min, ΔP = 10 kPa, n = 1000 19.20 µm Equivalent diameter depends strongly on assumed pore count.

Formula Used

1. Washburn / Bubble Point
d = (4γ|cosθ|) / ΔP

2. Capillary Rise
d = (4γ|cosθ|) / (ρgh)

3. Laminar Flow Equivalent
d = ((128μLQ) / (πnΔP))^(1/4)

Where d is pore diameter, γ is surface tension, θ is contact angle, ΔP is pressure drop, ρ is density, g is gravity, h is rise height, μ is viscosity, L is thickness, Q is total flow rate, and n is pore count.

How to Use This Calculator

  1. Choose the method that matches your test setup.
  2. Enter the physical properties and measured values.
  3. Select units carefully before running the calculation.
  4. Click the calculate button to show results above the form.
  5. Review diameter conversions, classification, and the graph.
  6. Export the current result as CSV or PDF if needed.

FAQs

1. What does pore size mean in this calculator?

It represents an estimated diameter of a pore or capillary-like opening. The value is model-based, so it reflects the chosen test method and assumptions, not a direct microscope image.

2. Which method should I choose first?

Use Washburn when pressure drives entry, capillary rise when liquid height is measured, and laminar flow when you know viscosity, thickness, pressure drop, total flow, and an assumed pore count.

3. Why does a larger pressure drop give a smaller pore size?

In the pressure-based relation, diameter is inversely proportional to pressure drop. A higher pressure can force liquid or gas through tighter openings, so the inferred pore diameter decreases.

4. How important is contact angle?

Contact angle strongly affects wetting behavior. A change in angle changes the cosine term, which shifts the computed diameter. Reliable surface chemistry inputs improve reliability.

5. Why can flow-based results differ from imaging results?

The flow method returns an equivalent cylindrical diameter. Real pores can be tortuous, irregular, connected, or partially blocked, so image-based sizes and flow-based sizes often differ.

6. Can I use this for membranes, filters, and ceramics?

Yes. It is useful for many porous materials, including filters, membranes, sintered parts, foams, and ceramics, as long as the selected method reasonably matches the experiment.

7. Are the classifications microscopic, mesoscopic, and macroscopic?

The calculator uses a common pore-size grouping: microporous below 2 nm, mesoporous from 2 to 50 nm, and macroporous above 50 nm. It is a quick interpretation aid.

8. Does this replace laboratory characterization?

No. It is a strong screening and teaching tool, but laboratory techniques such as microscopy, mercury intrusion, adsorption analysis, or bubble point testing remain important for validation.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.