Thermal inertia of a solid surface

Heat diffuses slowly through a non-metallic solid, so when the underlying surface is solid it is typically necessary to consider the continous distribution of temperature as a function of depth within the solid. To a good approximation, heat flux within a solid is proportional to the temperature gradient; the proportionality constant is called the thermal conductivity, which we shall call kt. Balancing the rate of change of heat content against the convergence of heat flux yields the diffusion equation

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