In this paper a two-dimensional model for the unsteady temperature field due to microwave heating in a loaded cylindrical waveguide is presented. A suitable configuration is considered where the EM energy profile exponentially decreases. The dimensionless problem is solved analytically by using two partial solutions. The relation between the target skin depth and the temperature distribution is elucidated and the role of the boundary conditions (providing wall heat flux linearly depending on wall temperature) is clarified. The model is validated by using infrared thermography for the can surface temperature detection and a non-invasive experimental procedure to measure the skin depth temperature dependence is proposed.
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