The objective of this work is the determination of diagonal and cross-diagonal molecular diffusion coefficients in a ternary mixture, using the ‘Sliding Symmetric Tubes’ (SST) technique. The analyzed mixture consists of two aromatics and one normal alkane (tetrahydronaphthalene–dodecane–isobutylbenzene) with an equal mass fraction for all components (1:1:1) at 25 °C. The analytical solution corresponding to the SST technique has been successfully derived. The different fitting procedures were utilized by two scientific teams to subtract diffusion coefficients from the experimentally measured time-dependent concentration field. None of the attempts provided reliable results for the data from a single experiment. The “simplex”-based methods display reasonable results assuming that cross-diagonal coefficients are close to zero, i.e. quasi-binary and diluted mixtures. The results obtained by “trust region method” are satisfactory if the initial guess is good. To achieve better results, it is necessary to increase the number of experimental data.
Miren Larrañaga 1; M. Mounir Bou-Ali 1; Daniel Soler 1; Manex Martinez-Agirre 1; Aliaksandr Mialdun 2; Valentina Shevtsova 2
@article{CRMECA_2013__341_4-5_356_0,
author = {Miren Larra\~naga and M. Mounir Bou-Ali and Daniel Soler and Manex Martinez-Agirre and Aliaksandr Mialdun and Valentina Shevtsova},
title = {Remarks on the analysis method for determining diffusion coefficient in ternary mixtures},
journal = {Comptes Rendus. M\'ecanique},
pages = {356--364},
publisher = {Elsevier},
volume = {341},
number = {4-5},
year = {2013},
doi = {10.1016/j.crme.2013.01.008},
language = {en},
}
TY - JOUR AU - Miren Larrañaga AU - M. Mounir Bou-Ali AU - Daniel Soler AU - Manex Martinez-Agirre AU - Aliaksandr Mialdun AU - Valentina Shevtsova TI - Remarks on the analysis method for determining diffusion coefficient in ternary mixtures JO - Comptes Rendus. Mécanique PY - 2013 SP - 356 EP - 364 VL - 341 IS - 4-5 PB - Elsevier DO - 10.1016/j.crme.2013.01.008 LA - en ID - CRMECA_2013__341_4-5_356_0 ER -
%0 Journal Article %A Miren Larrañaga %A M. Mounir Bou-Ali %A Daniel Soler %A Manex Martinez-Agirre %A Aliaksandr Mialdun %A Valentina Shevtsova %T Remarks on the analysis method for determining diffusion coefficient in ternary mixtures %J Comptes Rendus. Mécanique %D 2013 %P 356-364 %V 341 %N 4-5 %I Elsevier %R 10.1016/j.crme.2013.01.008 %G en %F CRMECA_2013__341_4-5_356_0
Miren Larrañaga; M. Mounir Bou-Ali; Daniel Soler; Manex Martinez-Agirre; Aliaksandr Mialdun; Valentina Shevtsova. Remarks on the analysis method for determining diffusion coefficient in ternary mixtures. Comptes Rendus. Mécanique, 10th International Meeting on Thermodiffusion, Volume 341 (2013) no. 4-5, pp. 356-364. doi : 10.1016/j.crme.2013.01.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.01.008/
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