Transient Heat Conduction
Initial and Boundary Conditions
T_0 (°C):
T_inf (°C):
Geometry
L (m):
dx (m):
Thermal properties
h (W/m²·K):
k (W/m·K):
cp (J/kg·K):
rho (kg/m³):
alfa (m²/s):
k rho cp (W²s/m⁴K²):
Bi (-):
Air
Copper
Water
PUR
Asbestos
Steel
Time and Convergence
dt (s):
Total Time (s):
Fourier Terms:
sqrt(alfa t) (m):
* Exact Analytical Solution (Separation of Variables):
λₙ·tan(λₙ) = Bi, θ(x,t) = Σ Cₙ e
-λₙ²Fo
cos(λₙx/L)
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Analytical Solution: θ(x,t) = Σ Cₙ · exp(-λₙ² · Fo) · cos(λₙ · x/L)