A three-dimensional heat transfer model has been developed to obtain the conductive thermal field inside a brick-type solid under a moving heat source with different beam profiles. The problem in quasi-steady state has been approximated by neglecting the axial diffusion component; thus, for Peclet numbers greater than 5, the elliptic differential equation becomes a parabolic one along the motion direction. The dependence of the solution on the radiative 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 process.
Thermal Analysis of Solids at High Peclet Numbers Subjected to Moving Heat Sources
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Manca, O., Morrone, B., and Nardini, S. (February 1, 1999). "Thermal Analysis of Solids at High Peclet Numbers Subjected to Moving Heat Sources." ASME. J. Heat Transfer. February 1999; 121(1): 182–186. https://doi.org/10.1115/1.2825939
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