Thermal contact conductance across a two-body interface
Nonlinear heat transferPASS · <0.01%Two stacked blocks (10 × 10 × 10 mm each, k = 30 W/(m·K)) joined by an imperfect thermal contact interface with conductance h_c = 1000 W/(m²·K) under a 100 °C temperature difference. Verifies the interface temperature jump ΔT_c = q/h_c = 60 K, total heat transfer Q = 6.0 W, and body midpoint temperatures (90 °C and 10 °C).Two stacked blocks (10 × 10 × 10 mm each, k = 30 W/(m·K)) joined by an imperfect thermal contact interface with conductance h_c = 1000 W/(m²·K) under a 100 °C temperature difference. Verifies the interface temperature jump ΔT_c = q/h_c = 60 K, total heat trans… show full text
- Tolerance:
- 5%
Problem statement
- Geometry
- Two cubes 10 × 10 × 10 mm stacked along z (z ∈ [0, 10] mm and z ∈ [10, 20] mm); tetrahedral mesh, element size 2.5 mm.
- Material
- Isotropic conductivity k = 30 W/(m·K); thermal contact conductance h_c = 1000 W/(m²·K) between body1 and body2.
- Boundary conditions
- Bottom face (surface number 5, z = 0) held at 100 °C; top face (surface number 32, z = 20 mm) held at 0 °C; lateral faces insulated.
- Measured quantity
- Mid-body temperatures T(z = 5 mm) = 90 °C and T(z = 15 mm) = 10 °C, mean interface temperature jump ΔT_c = 60 K, and interface heat rate Q = 6.0 W.
WebCAE Terminal
Paste these commands into the Terminal panel inside WebCAE. They use the same text DSL as the application; run one command per line:
units mm
material E=2e11 nu=0.3 kappa=30
primitive box dx=10 dy=10 dz=10
primitive box dx=10 dy=10 dz=10 oz=10
mesh tet size=2.5
thermal surface number 5 temperature=100
thermal surface number 32 temperature=0
contact body1 body2 thermal hc=1000
solve thermal
probe temperature z=5 id="b1"
probe temperature z=15 id="b2"Results comparison
| Reference value | T₁ = 90.00 °C, T₂ = 10.00 °CΔT_interface = 60.00 КQ = 6.000 W |
| Our result | T₁ = 90.000 °C, T₂ = 10.000 °CΔT_interface = 60.000 КQ = 6.0000 W |
| Deviation | <0.01% |
| Tolerance | 5% |
| Status | PASS · <0.01% |
| Mesh details | 2 тела, tet4, size 2.5 mm (264 nodes, 266 точек квадратуры контакта на площади 1e-4 м²) |
Updated: 2026-10-27 · version not recorded