Steady 1D slab
Plane-wall conduction
Inputs
User-entered conductivity at the stated material and temperature condition.
Area normal to the assumed one-dimensional heat flow.
Uniform thickness through the plane wall.
Surface temperature at the named hot-side boundary.
Surface temperature at the opposite named boundary.
Results
Conductive heat rate hot → coldQ̇
1,000
Plane-wall thermal resistanceRth
0.06
K/WHeat flux hot → coldq̇
400
W/m²Q̇ = kA(Th − Tc)/L; Rth = L/(kA)
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Sensible heat · Heat-exchanger ΔTlm · Thermal radiation exchange · Convection heat rate
Method
Formula, when it applies, and when it does not
Calculate conductive heat rate and thermal resistance across a uniform plane wall from conductivity, geometry, and surface temperatures.
Q̇ = kA(Th − Tc)/L; Rth = L/(kA)
When
- Steady one-dimensional conduction
- Uniform plane wall
- No contact resistance
Don’t
- This is steady, one-dimensional plane-wall conduction using one user-entered conductivity. It excludes contact resistance, convection, radiation, thermal bridges, multilayer interfaces, temperature-dependent properties, phase change, transient response, and insulation selection.