Comptes Rendus
Remarks on the analysis method for determining diffusion coefficient in ternary mixtures
Comptes Rendus. Mécanique, Volume 341 (2013) no. 4-5, pp. 356-364.

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.

Published online:
DOI: 10.1016/j.crme.2013.01.008
Keywords: Molecular diffusion, Ternary mixture, Sliding Symmetric Tubes, Fitting procedure

Miren Larrañaga 1; M. Mounir Bou-Ali 1; Daniel Soler 1; Manex Martinez-Agirre 1; Aliaksandr Mialdun 2; Valentina Shevtsova 2

1 MGEP Mondragon Goi Eskola Politeknikoa, Mechanical and Industrial Manufacturing Department, Loramendi 4, Apdo. 23, 20500 Mondragon, Spain
2 MRC, ULB, EP – CP165/62, Dept. Chemical Physics, B1050, Brussels, Belgium
@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] A. Fick Über diffusion, Poggendorffʼs Ann. Phys., Volume 94 (1855), pp. 59-86

[2] E.L. Cussler Diffusion Mass Transfer in Fluid Systems, Cambridge University Press, New York, 1997

[3] A.A. Alizadeh; W.A. Wakeham Mutual diffusion coefficients for binary mixtures of normal alkanes, Int. J. Thermophys., Volume 3 (1982), p. 307

[4] J. Dutrieux; J.K. Platten; G. Chavepeyer; M.M. Bou-Ali 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] R. Taylor; R. Krishna Multicomponent Mass Transfer, John Wiley & Sons Inc., New York, 1993

[7] E.L. Cussler Multicomponent Diffusion, Elsevier Scientific Publishing Company, Amsterdam, 1976

[8] P.W. Rutten Diffusion in Liquids, Delft University Press, Delft, 1992

[9] J.V. Tyrrell; K.R. Harris 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] J.W. Mutoru; A. Firoozabadi Form of multicomponent Fickian diffusion coefficients matrix, J. Chem. Thermodyn., Volume 43 (2011), pp. 1192-1203

[12] D. Alonso de Mezquia; M.M. Bou-Ali; M. Larrañaga; J.A. Madariaga; C. Santamaria 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] J.K. Platten; M.M. Bou-Ali; P. Costeséque; J. Dutrieux; W. Köhler; S. Wiegand; G. Wittko 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] A. Leahy-Dios; A. Firoozabadi 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] K.J. Zhang; M.E. Briggs; R.W. Gammon; J.V. Sengers Optical measurement of the Soret coefficient and the diffusion coefficient of liquid mixtures, J. Chem. Phys., Volume 104 (1996), pp. 6881-6892

[17] P. Kolodner; H. Williams; C. Moe Optical measurement of the Soret coefficient of ethanol/water solutions, J. Chem. Phys., Volume 88 (1988), pp. 6512-6524

[18] A. Mialdun; V. Shevtsova Development of optical digital interferometry technique for measurement of thermodiffusion coefficients, Int. J. Heat Mass Transfer, Volume 51 (2008), pp. 3164-3178

[19] W. Köhler; B. Muller Soret and mass diffusion coefficients of toluene/n-hexane mixtures, J. Chem. Phys., Volume 103 (1995), pp. 4367-4370

[20] A. Leahy-Dios; M.M. Bou-Ali; J.K. Platten; A. Firoozabadi 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] A. Mialdun; V. Shevtsova 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] A. Königer; H. Wunderlich; W. Köhler 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. Mialdun; V. Yasnou; V. Shevtsova; A. Koeniger; W. Koehler; D. Alonso de Mezquia; M.M. Bou-Ali A comprehensive study of diffusion, thermodiffusion, and Soret coefficients of water–isopropanol mixtures, J. Chem. Phys., Volume 136 (2012), p. 244512

Cited by Sources:

Comments - Policy