Formula for thermal conductivity

Physics

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The formula for thermal conductivity (kk) is derived from Fourier's Law of Heat Conduction. It relates the rate of heat transfer (Q/tQ/t) through a material to the temperature gradient and the area of heat transfer.

Qt=−kAdTdx\frac{Q}{t} = -k A \frac{dT}{dx}

Where:

  • Q/tQ/t is the rate of heat transfer (in Watts, W)
  • kk is the thermal conductivity (in W/(m·K))
  • AA is the cross-sectional area through which heat is flowing (in m²)
  • dT/dxdT/dx is the temperature gradient (in K/m)

Rearranging to solve for thermal conductivity (kk):

k=−Qt1AdxdTk = -\frac{Q}{t} \frac{1}{A} \frac{dx}{dT}
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