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REM - International Engineering Journal

versão On-line ISSN 2448-167X


BARROS, André dos Santos; FERREIRA, Ivaldo Leão  e  MOREIRA, Antonio Luciano Seabra. Mathematical method to characterize the inward solid state diffusion in cylindrical parts. REM, Int. Eng. J. [online]. 2016, vol.69, n.3, pp.341-347. ISSN 2448-167X.

This work presents an analytical method for the study of the solid state diffusion process in binary systems of two phases with cylindrical radial atomic flux. The method is developed from the differential equation that describes Fick's second law that is modified by geometric function and suitable changes of variables. The modified differential equation is solved by using a well-known closed form solution based on the error function, and then analytical equations are obtained to analyze the diffusion interface position as a function of time, and the concentration profiles as a function of time and position. The predictions provided by the analytical method are compared with numerical results.

Palavras-chave : Solid state diffusion; analytical method; numerical method; phase change.

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