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Prandtl Number Calculator — Momentum vs Thermal Diffusivity

Calculate the Prandtl number from viscosity, specific heat, and thermal conductivity. Fluid classification for gases, water, oils, and liquid metals included.

✓ Formula verified: May 2026

Prandtl Number

Results below

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Pa·s
J/kg·K
W/m·K
Prandtl Number (Pr)
6.973

Fluid Category

Common liquid (water-like) — velocity boundary layer thicker

Formula Used

Pr = (0.001 × 4184) / 0.6

Momentum Diffusivity (ν = μ/ρ)

ν = 0.001 / ρ (enter density for ν)

What if your dynamic viscosity (μ) changes? 0.0009 Pa·s → 6.276 · 0.001 Pa·s → 6.973 · 0.0011 Pa·s → 7.671
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