Knudsen Number Calculator

Find the Knudsen number to classify a flow regime.

Knudsen number 0.0001

Formula: Kn = λ ÷ L

Step-by-step with your numbers:
1. Values used:
2. Mean free path = 0
3. Characteristic length = 0.001
4.
5. Knudsen number = Mean free path / Characteristic length = 0 / 0.001 = 0.0001
Did we solve your problem today?

The Knudsen number tells whether a gas behaves as a continuous fluid or as individual molecules.

The math behind it

Kn = λ ÷ L. Kn < 0.01 is continuum flow; Kn > 10 is free molecular flow.

Worked example

λ 70 nm, L 1 mm → Kn ≈ 7 × 10⁻⁵ (continuum).

FAQ

When does continuum break down?

At low pressure or tiny scales (MEMS, vacuum), where Kn becomes large.