Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Students · Fin Cooling

Fin Cooling for a balcony railing

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a balcony railing live below — adjust the inputs and watch it respond, right in your browser.

Fin CoolingLive

heat sinks & extended surfaces

Controls

Presets

Conductivity k (W/m·K)

Convection h (W/m²·K)

Fin thickness (m)

Fin length (m)

Base temp (°C)

A fin extends a hot surface into the air to shed more heat. Temperature falls along it as θ(x)/θ_b = cosh(m(L−x))/cosh(mL). Long, thin, low-conductivity fins run cool at the tip — wasted area, captured by the fin efficiency. Educational tool.

▶ Run in Python

Data Inspector

Tip temperature86.7 °C

Fin efficiency88%

Heat dissipated330.3 W

Governing equation

\frac{θ}{θ _{b}} = \frac{cosh ( 12.9 ( 0.05 - x ))}{cosh ( 0.65 )}, m = \frac{2 h}{k t}

Reading this result: Balanced fin (mL=0.65): a practical compromise at 88% efficiency, with the tip still 62 °C above ambient.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Frequently asked questions

Is this good for students?: Yes — this version of "Fin Cooling for a balcony railing" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.