Computer simulation of diffusion processes with moving interface boundary

The solution of the diffusion equation at the non-stationary boundary represents the so-called Stefan problem which can be solved by means of the thermal potential of a double-layer with the accuracy sufficient for description of diffusion phenomena. The results were methods for determination of the mean values of the interdiffusion coefficients. The interface boundary shift and diffusivity in the diffusion joints can be determined very precisely from the areas below and above the concentration curve. The diffusivities in the Ni/Ni-Al and Fe/Fe-Mn diffusion joints were calculated from the experimental data using the balance equations that express the law of conservation of the diffusing material in the specimens and on the interface boundary. A new computer program (in Matlab) for the simulation of diffusion processes has been developed.

[1]  Pierre Guiraldenq,et al.  Diffusion dans les métaux , 1978, Étude et propriétés des métaux.

[2]  Petr Kubíček,et al.  Diffusion in multiphase systems with nonstationary boundaries , 1998 .

[3]  H. Mehrer Diffusion in solids : fundamentals, methods, materials, diffusion-controlled processes , 2007 .

[4]  Waichi Ôta Process of Cutting of Metal by Bite Seen from Its Microstructure and Haradness Distribution , 1952 .

[5]  Petr Kubíček,et al.  Diffusion in solid phase with nonstationary interphase boundary , 1996 .

[6]  G. J. Dienes,et al.  An Introduction to Solid State Diffusion , 1988 .

[7]  Petr Kubíček,et al.  Diffusion in multiphase systems with nonstationary boundaries III. Solution of diffusion in the region with boundaries moving in opposite directions , 1999 .

[8]  Masashi Watanabe,et al.  Electron microscopy study of Ni/Ni3Al diffusion-couple interface—II. Diffusivity measurement , 1994 .

[9]  J. Drapala,et al.  Study of concentration-dependent diffusivity in the Ni-Al and Ni-Si binary systems with moving interface from experimental data , 2007 .

[10]  Petr Kubíček Evaluation of experimental data of diffusion in semiinfinite two-phase systems with nonstationary interphase boundary by means of thermal potentials I. Theory , 1999 .

[11]  Petr Kubíček,et al.  Comparison of wagner’s relations for diffusivity determination in binary systems with moving joint boundary with the results of generalized theory , 1997 .

[12]  J. L. Nayler,et al.  PROPERTIES OF ELEMENTS , 1971 .

[13]  Thongbay Vongpaseuth,et al.  Two-particles correlations from central Au+Au collisions at the AGS at BNL , 1998 .

[14]  Kiyohiko Nohara,et al.  Self-Diffusion and Interdiffusion in γ Solid Solutions of the Iron-Manganese System , 1973 .

[15]  Kazufumi Ito,et al.  The Primal-Dual Active Set Strategy as a Semismooth Newton Method , 2002, SIAM J. Optim..

[16]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .

[17]  Petr Kubíček,et al.  Diffusion in melt with nonstationary interphase boundary , 1996 .

[18]  Paul Shewmon,et al.  Diffusion in Solids , 2016 .

[19]  W. Jost,et al.  Diffusion in Solids, Liquids, Gases , 1952, Zeitschrift für Physikalische Chemie.

[20]  Hideo Nakajima,et al.  Diffusion in intermetallic compounds. , 1989 .

[21]  Petr Kubíček Evaluation of experimental data of diffusion in semiinfinite two-phase systems with nonstationary interphase boundary by means of thermal potentials II. Application of the theory to the diffusion characteristics determination , 1999 .

[22]  C. Wan,et al.  Application of binary interdiffusion models to γ′(Ni3Al)/γ(Ni) diffusion bonded interfaces , 1993 .

[23]  Shinji Tsuji,et al.  Interdiffusion in γ Solid Solutions of the Fe-Mn System , 1970 .

[24]  Leonid Nikandrovich Larikov,et al.  Diffusion processes in ordered alloys , 1981 .

[25]  Jaromír Drápala,et al.  Determination of diffusion characteristics from experimental data with moving interface boundary by means of new methods , 2004 .