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TEST CASE 12.3 TRANSIENT HEAT TRANSFER IN BAR

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 TC 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:

Target value

Reference

LIRA 10

Deviation, %

TC, °С

36.6

37.246

1.76

 

Temperature distribution at time t = 32 s, °С