Prediction of thermodynamic activities in binary iron-based alloys using two-point Pade approximants

被引:0
|
作者
Stella, Eduardo [2 ]
Stella, Jorge [1 ]
机构
[1] Univ Simon Bolivar, Dept Mat Sci, Caracas 1080, Venezuela
[2] Univ Simon Bolivar, Dept Phys, Caracas 1080, Venezuela
关键词
Activities; Binary solutions; Pade approximants; Gibbs-Duhem; Iron-based alloys;
D O I
10.3139/146.101724
中图分类号
TF [冶金工业];
学科分类号
0806 ;
摘要
A method for predicting activities as a function of the concentration in liquid solutions for binary FeCo, FeCu, FeNi, FeMn and FePd systems using Pade approximants is presented. Pade approximants of orders 4/0 and 1/3 are proposed for the model using as input variables only the conditions from Henry's law at a given temperature. Results derived from the approximant 4/0 show good agreement with the experimental data in systems with moderate positive and negative deviations from the Raoultian behaviour. On the other hand, the approximant 1/3 shows a satisfactory agreement in the FeCu system which exhibits a high positive deviation from the Raoultian behaviour. A comparison with the results from a Redlich-Kister expansion using the same input conditions is discussed.
引用
收藏
页码:947 / 957
页数:11
相关论文
共 50 条
  • [1] Multivariate two-point Pade-type and two-point Pade approximants
    Abouir, J
    Cuyt, A
    Orive, R
    [J]. NUMERICAL ALGORITHMS, 2003, 33 (1-4) : 11 - 26
  • [2] On the convergence of two-point Pade-type approximants
    DiazMendoza, C
    GonzalezVera, P
    Orive, R
    [J]. NUMERISCHE MATHEMATIK, 1996, 72 (03) : 295 - 312
  • [3] On certain applications of the two-point Pade approximants by using extended epsilon algorithm
    Chakir, Y.
    Abouir, J.
    Benouahmane, B.
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2019, 46 (02): : 400 - 409
  • [4] N electrons in a quantum dot: Two-point Pade approximants
    Gonzalez, A
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1997, 9 (22) : 4643 - 4657
  • [5] Multivariate homogeneous two-point Pade approximants and continued fractions
    Chakir, Y.
    Abouir, J.
    Benouahmane, B.
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (01):
  • [6] Multivariate homogeneous two-point Pade acute accent approximants
    Abouir, J.
    Benouahmane, B.
    [J]. JAEN JOURNAL ON APPROXIMATION, 2018, 10 (01): : 29 - 48
  • [7] Convergence of two-point Pade approximants to piecewise holomorphic functions
    Yattselev, M. L.
    [J]. SBORNIK MATHEMATICS, 2021, 212 (11) : 1626 - 1659
  • [8] Two-point Pade approximants for the expansions of Stieltjes functions in real domain
    Tokarzewski, S
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 67 (01) : 59 - 72
  • [9] Continued fractions, two-point Pade approximants and errors in the Stieltjes case
    Gilewicz, J
    Pindor, M
    Telega, JJ
    Tokarzewski, S
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (01) : 99 - 112
  • [10] Two-dimensional Laplace transform inversion using bivariate homogeneous two-point Pade approximants
    Chakir, Y.
    Abouir, J.
    Aounil, I
    Benouahmane, B.
    [J]. NUMERICAL ALGORITHMS, 2022, 90 (03) : 1153 - 1174