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We propose in this paper an analytical study of the temperature distribution  in a solid subjected to moving heat sources. The power dissipated by the heat  sources is considered nonuniform. The study was made in steady state. The  model is three-dimensional. It is valid regardless of the relative velocity  of the source. We have considered three cases of semi-elliptic distribution  of the power with: (i) the maximum at the center of the source, (ii) the  maximum at the inlet of the source, (iii) the maximum at the output of the  source. These configurations simulate the conformity imperfection of contact  due to wear and / or the non-uniformity of contact pressure in frictional  devices. We compare the temperature change for these different scenarios and  for different relative velocities, considering the same total power  dissipation. The reference case is that of a uniform source dissipating the  same power

Analytical study of the temperature distribution in solids subjected to nonuniform moving heat sources