Fourier′s Law

Empirical relationship between the conduction rate in a material and the temperature gradient in the direction of energy flow.

for unidirectional conduction

Where

qx = heat flux in positive x direction [Wm-2]
dT/dx = negative temperature gradient [Km-1]
k = thermal conductivity [Wm-1K-1]

the heat flow rate at steady state can be written:

Where

q = heat flow [W]
ΔT = temperature difference [K]
k = thermal conductivity [Wm-1K-1]
A = area normal to the direction of heat flow [m2]
d = distance in direction of heat flow [m]


See also: Fourier, Baron Jean Baptiste Joseph, Heat Flow Rate, Thermal Conduction, Thermal Conductivity.

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Subjects: Thermodynamics