Thermodynamics

Heat Conduction

P=kAΔTLP = \frac{kA\Delta T}{L}

Rate of heat flow through a material.

Variables

P
Heat flow rate
Power (energy/time)
W
k
Thermal conductivity
Material property
W/(m·K)
A
Cross-sectional area
Area of heat flow
ΔT
Temperature difference
Hot - cold
K
L
Length
Distance heat travels
m

Derivation

Fourier's law of heat conduction.

Your notes

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Common questions

What is the Heat Conduction formula?

Heat Conduction is written P = kAΔT/L. Rate of heat flow through a material. It belongs to Thermodynamics, under Heat & Temperature.

What are the units in P = kAΔT/L?

In SI units, P is heat flow rate, measured in kg·m²/s³; k is thermal conductivity, measured in kg·m/(s³·K); A is cross-sectional area, measured in m²; ΔT is temperature difference, measured in K; L is length, measured in m.

How is the Heat Conduction formula derived?

Fourier's law of heat conduction. The result is P = kAΔT/L.