scholarly journals A novel concept of pseudo ternary diffusion couple for the estimation of diffusion coefficients in multicomponent systems

2018 ◽  
Vol 147 ◽  
pp. 79-82 ◽  
Author(s):  
Neelamegan Esakkiraja ◽  
Aloke Paul
Keyword(s):  
Diffusion Couple ◽  
Diffusion Coefficients ◽  
Multicomponent Systems ◽  
Ternary Diffusion ◽  
Ternary Diffusion Couple ◽  
Novel Concept

scholarly journals Application of numerical inverse method in calculation of composition-dependent interdiffusion coefficients in finite diffusion couples

10.30544/308 ◽  
2017 ◽  
Vol 23 (3) ◽  
pp. 197-211 ◽  
Author(s):  
Yuanrong Liu ◽  
Weimin Chen ◽  
Jing Zhong ◽  
Ming Chen ◽  
Lijun Zhang
Keyword(s):  
Diffusion Couple ◽  
Inverse Method ◽  
Diffusion Path ◽  
Diffusion Couples ◽  
Ternary Diffusion ◽  
Inverse Approach ◽  
Ternary Diffusion Couple ◽  
Composition Profiles ◽  
Standard Sets ◽  
Interdiffusion Coefficients

The previously developed numerical inverse method was applied to determine the composition-dependent interdiffusion coefficients in single-phase finite diffusion couples. The numerical inverse method was first validated in a fictitious binary finite diffusion couple by pre-assuming four standard sets of interdiffusion coefficients. After that, the numerical inverse method was then adopted in a ternary Al-Cu-Ni finite diffusion couple. Based on the measured composition profiles, the ternary interdiffusion coefficients along the entire diffusion path of the target ternary diffusion couple were obtained by using the numerical inverse approach. The comprehensive comparisons between the computations and the experiments indicate that the numerical inverse method is also applicable to high-throughput determination of the composition-dependent interdiffusion coefficients in finite diffusion couples.

The Effective Interdiffusion Coefficients in Experimental Investigations of Interdiffusion in Ternary Systems

2005 ◽  
Vol 237-240 ◽  
pp. 121-126 ◽  
Author(s):  
Ü. Ugaste
Keyword(s):  
Diffusion Couple ◽  
Ternary Systems ◽  
Diffusion Path ◽  
Experimental Investigations ◽  
Ternary Diffusion ◽  
Ternary Diffusion Couple ◽  
Interdiffusion Process ◽  
Variable Diffusion ◽  
Diffusion Paths ◽  
Interdiffusion Coefficients

The application of the effective interdiffusion coefficients for describing the interdiffusion process in ternary systems is discussed. It is shown that the relative values of effective interdiffusion coefficients, which are directly related to the diffusion path developed in a given diffusion couple, are responsible for deviation of the diffusion paths from linearity. The relationship between effective interdiffusion coefficients and partial (intrinsic) coefficients in ternary systems is analysed. It is shown that Boltzmann’s solution for diffusion equation with variable diffusion coefficient by means of relatively easy calculation procedure gives reliable results for the calculation concentration distributions in a ternary diffusion couple.

scholarly journals Computation of Trajectories and Displacement Fields in a Three-Dimensional Ternary Diffusion Couple: Parabolic Transform Method

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Marek Danielewski ◽  
Henryk Leszczyński
Keyword(s):  
Diffusion Couple ◽  
Three Dimensional ◽  
Transformation Method ◽  
Kirkendall Effect ◽  
Initial Distribution ◽  
Displacement Fields ◽  
Ternary Diffusion ◽  
Transform Method ◽  
Ternary Diffusion Couple ◽  
Diagonalization Method

The problem of Kirkendall’s trajectories in finite, three- and one-dimensional ternary diffusion couples is studied. By means of the parabolic transformation method, we calculate the solute field, the Kirkendall marker velocity, and displacement fields. The velocity field is generally continuous and can be integrated to obtain a displacement field that is continuous everywhere. Special features observed experimentally and reported in the literature are also studied: (i) multiple Kirkendall’s planes where markers placed on an initial compositional discontinuity of the diffusion couple evolve into two locations as a result of the initial distribution, (ii) multiple Kirkendall’s planes where markers placed on an initial compositional discontinuity of the diffusion couple move into two locations due to composition dependent mobilities, and (iii) a Kirkendall plane that coincides with the interphase interface. The details of the deformation (material trajectories) in these special situations are given using both methods and are discussed in terms of the stress-free strain rate associated with the Kirkendall effect. Our nonlinear transform generalizes the diagonalization method by Krishtal, Mokrov, Akimov, and Zakharov, whose transform of diffusivities was linear.

Inverse T-Sample Method of Determination of the Interdiffusion Coefficients in the Cu-Ni-Sn System

2005 ◽  
Vol 237-240 ◽  
pp. 224-229
Author(s):  
Yu.A. Lyashenko ◽  
V.V. Bogdanov
Keyword(s):  
Diffusion Coefficients ◽  
Lateral Diffusion ◽  
Ternary Diffusion ◽  
Special Configuration ◽  
Intermediate Phases ◽  
Ternary Diffusion Couple ◽  
The Matrix ◽  
Sample Method ◽  
Interdiffusion Coefficients

A method of the determining of the mutual diffusion coefficients in ternary intermediate phases is suggested. Methodology for determination of the interdiffusion coefficients of phases formed in a ternary diffusion couple in T-sample configuration is presented. The method requires only one annealing of the T-sample and makes it possible to calculate the matrix of the diffusion coefficients in the (CuNi)6Sn5 and Cu3Sn ternary intermediate phases under low temperature. The concentration profiles and electron micrograph of the diffusion zone was obtained in the ternary Cu-Ni-Sn system annealed for 64 hours under 200°C. Phase competition in this ternary system with special configuration of T-sample leads to lateral diffusion of Cu, to formation (CuNi)6Sn5 compound between Ni-Sn side and to suppression of other NixSny intermediate phases.

Ein neues Verfahren zur Berechnung der Diffusionskoeffizienten in Multikomponentensystemen aus Meßdaten der quasistationären Diffusion / A new procedure for the determination of diffusion coefficients from quasi-stationary diffusion measurements in multicomponent systems

1975 ◽  
Vol 30 (4) ◽  
pp. 561-566
Author(s):  
W. Meiske ◽  
W. Schmidt ◽  
E. Kahrig
Keyword(s):  
Differential Equations ◽  
Diffusion Coefficients ◽  
Multicomponent Systems ◽  
Equivalent System ◽  
System Of Integral Equations ◽  
Component System ◽  
Flow Equations ◽  
Stationary Diffusion ◽  
Numerical Performance

Abstract Diffusion in an (n+1) -component system is described by Onsager's flow equations the integration of which leads in the case of quasi-stationarity to the differential equations d(Δc)/dt=-βD̅Δ c (Δc: vector of concentration differences between the compartments of the cell, D̅: matrix of integral diffusion coefficients, β: apparatus constant). Several procedures are known to determine these diffusion coefficients from such equations but all of them have certain disadvantages. In this paper a new method is described to compute the integral diffusion coefficients, which starts from the associated equivalent system of integral equations. The mathematical formalism is simple, and its numerical performance does not become more difficult with an increasing number of components of the system.

Composition dependence of tracer diffusion coefficients in Fe–Ga alloys: A case study by a tracer-diffusion couple method

2021 ◽  
Vol 203 ◽  
pp. 116446
Author(s):  
G.M. Muralikrishna ◽  
B. Tas ◽  
N. Esakkiraja ◽  
V.A. Esin ◽  
K.C. Hari Kumar ◽  
...  
Keyword(s):  
Diffusion Couple ◽  
Diffusion Coefficients ◽  
Composition Dependence ◽  
Tracer Diffusion ◽  
Tracer Diffusion Coefficients ◽  
Couple Method
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