Straight fin with adiabatic tip

Thermal conductionIn development

Conduction–convection along a fin, closed-form solution

Problem statement

Geometry: Straight fin of length L and uniform cross-section (perimeter P, area A_c).
Material: Isotropic thermal conductivity k; convection coefficient h on the lateral surface.
Boundary conditions: Fixed base temperature T_b; insulated (adiabatic) tip; ambient T∞.
Measured quantity: Temperature profile cosh[m(L−x)]/cosh(mL) and heat rate Q = √(hPkA_c)·θ_b·tanh(mL).

Lands with the scripting engine (see Documentation) — this setup will be runnable from commands, no manual rebuild needed.

The solver core is still in development — there's no result yet. It'll appear here right after the first run, no retouching.

Updated: not yet run