Semi-infinite solid — transient
Thermal conductionIn developmentTransient conduction, error-function solution
- Source:
- Carslaw & Jaeger, Conduction of Heat in Solids
- Tolerance:
- 2%
Problem statement
- Geometry
- Semi-infinite solid (half-space), x ≥ 0, uniform initial temperature.
- Material
- Isotropic conductivity k and thermal diffusivity α = k/(ρc).
- Boundary conditions
- Surface temperature suddenly stepped to T_s at t = 0.
- Measured quantity
- Transient profile (T−T_s)/(T_i−T_s) = erf(x/2√(αt)) at chosen depths/times.
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