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.
@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, 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/
[1] Über diffusion, Poggendorffʼs Ann. Phys., Volume 94 (1855), pp. 59-86
[2] Diffusion Mass Transfer in Fluid Systems, Cambridge University Press, New York, 1997
[3] Mutual diffusion coefficients for binary mixtures of normal alkanes, Int. J. Thermophys., Volume 3 (1982), p. 307
[4] On the measurement of positive Soret coefficients, J. Phys. Chem. B, Volume 106 (2002), pp. 6104-6114
[5] Thermal Nonequilibrium Phenomena in Fluid Mixtures (W. Köhler; S. Wiegand, eds.), Springer, Berlin, 2002
[6] Multicomponent Mass Transfer, John Wiley & Sons Inc., New York, 1993
[7] Multicomponent Diffusion, Elsevier Scientific Publishing Company, Amsterdam, 1976
[8] Diffusion in Liquids, Delft University Press, Delft, 1992
[9] Diffusion in Liquids, Butterworth & Co., London, 1984
[10] P. Blanco, M.M. Bou-Ali, P. Urteaga, Un Dispositivo de Difusion Molecular para determinar el coeficiente de difusión molecular de Mezclas Líquidas a presión atmosférica y a temperatura constante y un método de obtenición del Coeficiente de Difusión Molecular, Patente ES 2351822 (A1), 2011.
[11] Form of multicomponent Fickian diffusion coefficients matrix, J. Chem. Thermodyn., Volume 43 (2011), pp. 1192-1203
[12] Determination of molecular diffusion coefficient in n-alkane binary mixtures: Empirical correlations, J. Phys. Chem. B, Volume 116 (2012), pp. 2814-2819
[13] D. Alonso de Mezquia, P. Blanco, M.M. Bou-Ali, A. Zebib, New technique for measuring the molecular diffusion coefficients of binary liquid mixtures, in: European Thermodynamics Seminar EURO-THERM 84, Namur, Belgium, 2009.
[14] Benchmark values for the Soret, thermal diffusion and diffusion coefficients of three binary organic liquid mixtures, Philos. Mag., Volume 83 (2003), pp. 1965-1971
[15] Effect of molecular shape and size on molecular and thermal diffusion coefficients of binary mixtures, J. Phys. Chem. B, Volume 111 (2007), pp. 191-198
[16] Optical measurement of the Soret coefficient and the diffusion coefficient of liquid mixtures, J. Chem. Phys., Volume 104 (1996), pp. 6881-6892
[17] Optical measurement of the Soret coefficient of ethanol/water solutions, J. Chem. Phys., Volume 88 (1988), pp. 6512-6524
[18] Development of optical digital interferometry technique for measurement of thermodiffusion coefficients, Int. J. Heat Mass Transfer, Volume 51 (2008), pp. 3164-3178
[19] Soret and mass diffusion coefficients of toluene/n-hexane mixtures, J. Chem. Phys., Volume 103 (1995), pp. 4367-4370
[20] Measurements of molecular and thermal diffusion coefficients in ternary mixtures, J. Chem. Phys., Volume 122 (2005), p. 234502
[21] MATLAB Version R2011a, The Math Works Inc., Natick, USA, 2011.
[22] Measurements of the Soret and diffusion coefficients for benchmark binary mixtures by means of digital interferometry, J. Chem. Phys., Volume 134 (2011), p. 044524
[23] Measurement of diffusion and thermal diffusion in ternary fluid mixtures using a two-color optical beam deflection technique, J. Chem. Phys., Volume 132 (2010), p. 174506
[24] A comprehensive study of diffusion, thermodiffusion, and Soret coefficients of water–isopropanol mixtures, J. Chem. Phys., Volume 136 (2012), p. 244512
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