One-dimensional diffusion model for extended solid solution in laser cladding
- 1 April 1987
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 61 (7) , 2645-2655
- https://doi.org/10.1063/1.337895
Abstract
A 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.This publication has 11 references indexed in Scilit:
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