Flat Wall Heat Conduction (Q̇)

Thermal Conductivity (k) (W/(m·K)) Material's ability to conduct heat. Units: Watts per meter-Kelvin (W/(m·K)).

Surface Area (A) (m²) Area perpendicular to the direction of heat flow. Units: square meters (m²).

Wall Thickness (B) (m) Thickness of the wall in the direction of heat flow. Units: meters (m).

Hot Side Temperature (T₁) (°C or K) Temperature on the hotter side of the wall. Units: °C or K (must be consistent with T2).

Cold Side Temperature (T₂) (°C or K) Temperature on the colder side of the wall. Units: °C or K (must be consistent with T1).

Calculation Explanation

This calculator determines the steady-state rate of heat transfer (Q̇) by conduction through a homogeneous, flat solid wall using Fourier's Law.

Fourier's Law (Integrated for Flat Wall):
Q̇ = k ⋅ A ⋅ (T₁ - T₂) / B

Where:

Q̇: Rate of heat transfer (Watts, W).
k: Thermal conductivity of the wall material (W/(m·K)).
A: Surface area of the wall perpendicular to heat flow (m²).
T₁: Temperature on the hot side of the wall (°C or K).
T₂: Temperature on the cold side of the wall (°C or K).
B: Thickness of the wall (m).

Ensure consistent units for all inputs. Note that for the temperature difference (T₁ - T₂), using either Celsius or Kelvin yields the same result, as the difference is the same.
Assumptions: Steady-state heat transfer, homogeneous material, constant thermal conductivity, one-dimensional heat flow.

Flat Wall Heat Conduction (Q̇)

Result

Calculation Explanation