A three-dimensional hear transfer model has been developed to obtain the co
nductive thermal field inside a brick-type solid under a moving heat source
with different beam profiles. The problem in quasi-steady state has been a
pproximated by neglecting the axial diffusion component; thus, for Peclet n
umbers greater than 5, the elliptic differential equation becomes a parabol
ic one along the motion direction. The dependence of the solution on the ra
diative and convective heat losses has been highlighted. Thermal fields are
strongly dependent on different spot shapes and on the impinging jet; this
situation allows control of the parameters involved in the technological p
rocess.