Fourier’s law states that the rate of heat flow through a uniform material is proportional to the area perpendicular to the heat flow (A), the temperature drop (dt) and inversely proportional to the length of the path of flow.
Consider,
an area A of a wall of thickness L.
Let the temperature be uniform over the area A on one face of the wall.
Both sides of the wall have a temperature gradient.
If a thin thickness dL, parallel to the area A, be taken at some intermediate point in the wall, with a temperature difference of dt across such a layer, then Fourier’s law may be represented by the equation:
Where k = proportionality constant
If the temperature gradient dt/dL does not vary with time (this case is observed at steady state of heat flow) then the rate of heat flow is constant with time,
Commonly Asked Questions.
Derive an equation for Fourier's law of heat transfer..