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Cylindrical wall — radial conduction

Thermal conductionIn development

Steady conduction in a pipe wall, logarithmic profile

Source:
Analytical heat conduction (Incropera)
Tolerance:
1%

Problem statement

Geometry
Hollow cylinder (pipe) with inner radius r_i and outer radius r_o, length L.
Material
Isotropic thermal conductivity k.
Boundary conditions
Prescribed temperatures on the inner and outer surfaces.
Measured quantity
Logarithmic profile T(r) and heat rate Q = 2πkL·ΔT/ln(r_o/r_i).

Script

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

Results comparison

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

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