You can compute it using Fourier's law. It states that the rate of heat transfer through conduction is directly proportional to the thermal gradient (dT/dx). Mathematically,
q_x = - k * A * dT / dx (1D conduction)
q_x - rate of heat transfer in x direction
k - thermal conductivity of the material
A - area normal to the direction of heat transfer
dT / dx - thermal gradient
The minus sign is necessary because heat is transferred in the direction of decreasing temperature.
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