Reference:

The Standard NAFEMS Benchmarks, Rev. 3, October 1990. (Test T3)

Problem description:

On the bar AB at point A, a constant temperature is T₁ = 0 °С, at point B a time-varying temperature according to the sinusoidal law T₂ = 100·sin(π·t/40) is applied. Determine the temperature T_C at point C (x = 0.8L) at time t = 32 s.

Problem sketch:

Type of created problem:

Spatial structure (X, Y, Z, UX, UY, UZ).

Geometry properties:

L = 0.1 m;

Cross section dimensions: a x a = 1 x 1 m.

Material properties:

Density: ρ = 7200 kg/m³;

Thermal conductivity factor: λ = 35 W/(m·°С);

Specific heat: С = 440.5 J/(kg·°С).

Model description:

System is modeled via 10 universal finite elements of a spatial bar (FE type is 10). Calculation of non-stationary thermal field is performed (full time is 32 s, step time is 1 s).

Calculation results:

Temperature distribution at time t = 32 s, °С