One-dimensional diffusion model for extended solid solution in laser cladding
1987; American Institute of Physics; Volume: 61; Issue: 7 Linguagem: Inglês
10.1063/1.337895
ISSN1520-8850
Autores Tópico(s)Intermetallics and Advanced Alloy Properties
ResumoA mathematical model is presented for determining the composition of extended solid solution formed due to rapid cooling in laser cladding. This model considers a diffusion mechanism for mass transport in a one-dimensional semi-infinite molten pool of the cladding material from which heat is removed by conduction through a one-dimensional semi-infinite solid substrate. The rate of solidification has been obtained by modeling the cooling process as a composite medium heat transfer problem. The discontinuity of the concentration field has been simulated using a nonequilibrium partition coefficient, and then a nonsimilar exact solution for the mass transport equation has been obtained using a set of similarity variables which has been derived using Lie group theory.
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