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Nusselt number calculator

Relate convection to fluid conduction, or evaluate a correlation whose coefficient and exponents you supply for the chosen geometry.

Calculator

Nusselt number
40.00000000

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How this calculator works

Nusselt number is the dimensionless convection coefficient hL/kf, where kf is the fluid conductivity. The length convention, property evaluation temperature and whether h is local or averaged must match the reference correlation. Natural and forced convection modes evaluate power-law forms using your own coefficient and exponents; the defaults are illustrative, not a recommended correlation or a validity check for a flow regime.

Formula

Nu = hL/kf; natural power law: Nu = C Ra^n; forced power law: Nu = C Re^m Pr^n.

Worked example

For h = 10 W/(m² K), L = 0.1 m and kf = 0.025 W/(m K), Nu = 40. A supplied natural-convection law with C = 0.1, Ra = 1e8 and n = 0.25 gives Nu = 10.

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Frequently asked questions

Which conductivity belongs here?

Use the fluid conductivity. Solid conductivity belongs in a Biot number.

Can I use any characteristic length?

No. Use the length defined by the selected correlation, such as pipe diameter or plate length.

Are the correlation defaults validated for my flow?

No. Supply parameters and applicability limits from a reference for your geometry and regime.

Sources

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