Abstract
Steady-state measurements in a thermogravitational microcolumn using optical digital interferometry are presented here for the first time in the literature in the case of ternary mixtures. These measurements enabled the subsequent obtaining of thermodiffusion coefficients of a ternary mixture once convection reaches the steady-state. The ternary mixture used was the benchmark one, tetrahydronaphthalene (THN) – isobutylbenzene (IBB) and n-dodecane (nC12) with mass fraction of 0.8-0.1-0.1 respectively. Contrast factors due to the change in the concentration field were measured and compared with the corresponding ones in the literature. Uncertainty in the results was found to be of similar order of magnitude as in the case of Selectable Optical Diagnostic Instrument (SODI), which means that the condition number of that contrast factor matrix is almost equal to the present one. Final values of thermodiffusion coefficients were compared with the results reported from other optical techniques, as well as with the results obtained by the traditional long opaque thermogravitational columns (TGC). Some proposals were then made in order to improve accuracy reducing the condition number of the contrast factor matrix.
Similar content being viewed by others
References
Ahadi, A., Saghir, M.Z.: The microgravity DSC-DCMIX1 mission onboard ISS: Experiment description and results on the measurement of the Soret coefficients for isobutylbenzene, dodecane, tetralin ternary hydrocarbons mixtures. Exp. Therm. Fluid Sci. 74, 296–307 (2016)
Blanco, P., Bou-Ali, M.M., Platten, J.K., Alonso de Mezquia, D., Madariaga, J.A., Santamaria, C.M.: Thermodiffusion coefficients of binary and ternary hydrocarbon mixtures. J. Chem. Phys. 132(11), 114506 (2010)
Bou-Ali, M.M., Ecenarro, O., Madariaga, J.A., Santamaría, C.M., Valencia, J.J.: Thermogravitational measurements of the Soret coefficient of liquid mixture. J. Phys. Condens. Matter 10, 3321–3331 (1998)
Bou-Ali, M.M., Ahadi, A., Alonso de Mezquia, D., Galand, Q., Gebhardt, M., Khlybov, O., Köhler, W., Larranaga, M., Legros, J.C., Lyubimova, T., Mialdun, A., Ryzhkov, I., Saghir, M.Z., Shevtsova, V., Van Vaerenbergh, S.: Benchmark values for the Soret, thermodiffusion and molecular diffusion coefficients of the ternary mixture tetralin + isobutylbenzene + n-dodecane with 0.8-0.1-0.1 mass fraction. Eur. Phys. J. E 38(4), 1–6 (2015)
De Mezquia, DAlonso, Mounir Bou-Ali, M., Larranaga, M., Madariaga, J.A., Santamaria, C.: Determination of molecular diffusion coefficient in n-Alkane binary mixtures: empirical correlations. J. Phys. Chem. B 116(9), 2814–2819 (2012)
Errarte, A., Bou-Ali, M.M., Aginagalde, M., Santamaria, C.: Thermodiffusion coefficients of nanofluid binary mixtures. Microgravity Sci. Technol. 31(6), 877–882 (2019)
Galand, Q., Van Vaerenbergh, S.: Measurement of diffusion and Soret coefficients of ternary system tetrahydronaphtalene-isobutylbenzene-n-dodecane with mass fraction 80-10-10 at 25°C. Eur. Phys. J. E. 38(4), 1–10 (2015)
Galand, Q., Van Vaerenbergh, S., Köhler, W., Khlybov, O., Lyubimova, T., Mialdun, A., Melnikov, D., Shevtsova, V., Triller, T.: Results of the DCMIX1 experiment on measurement of Soret coefficients in ternary mixtures of hydrocarbons under microgravity conditions on the ISS. J. Chem. Phys. 151(13), 134502 (2019)
Gebhardt, M., Köhler, W.: Contribution to the benchmark for ternary mixtures: Measurement of the Soret and thermodiffusion coefficients of tetralin + isobutylbenzene + n-dodecane at a composition of (0.8/0.1/0.1) mass fraction by two-color optical beam deflection. Eur. Phys. J. E 38(4), 24 (2015)
Khouzam, A., Charrier-Mojtabi, M.-C., Mojtabi, A., Ouattara, B.: A new process for species separation in a binary mixture using mixed convection. In: ICHMT Digital Library Online. Bath, Begel House Inc. (2012)
Königer, A., Wunderlich, H., Köhler, W.: Measurement of diffusion and thermal diffusion in ternary fluid mixtures using a two-color optical beam deflection technique. J. Chem. Phys. 132(17), 174506 (2010)
Kozlova, S.V., Ryzhkov, I.I.: On the separation of multicomponent mixtures in a cylindrical thermogravitational column. Phys. Fluids 28(11), 117102 (2016)
Lapeira, E., Bou-Ali, M.M., Madariaga, J.A., Santamaria, C.: Thermodiffusion coefficients of water/ethanol mixtures for low water mass fractions. Microgravity Sci. Technol. 28(5), 553–557 (2016)
Lapeira, E., Gebhardt, M., Triller, T., Mialdun, A., Köhler, W., Shetvsova, V., Bou-Ali, M.M.: Transport properties of the binary mixtures of the three organic liquids touluene, methanol and cyclohexane. J. Chem. Phys. 146(9), 094507 (2017)
Lapeira, E., Mialdun, A., Yasnou, V., Aristimuno, P.X., Shevtsova, V.: M.M. Bou-Ali, Digital Interferometry Applied to thermogravitational technique. Microgravity Sci. Technolog 30(5), 635–641 (2018)
Larranaga, M., Andrew, D., Rees, S., Bou-Ali, M.M.: Determination of the molecular diffusion coefficients in ternary mixtures by sliding symmetric tubes technique. J. Chem. Phys. 140(5), 054201 (2014a)
Larranaga, M., Bou-Ali, M.M., Lapeira, E., Santamaria, C., Madariaga, J.A.: Effect of thermophysical properties and morphology of the molecules on thermodiffusion coefficient of binary mixtures. Microgravity Sci. Technol 26(1), 29–35 (2014)
Larranaga, M., Bou-Ali, M.M., de Mezquia, D.A., Andrew, D., Rees, S., Madariaga, J.A., Santamaria, C., Platten, J.K.: Contribution to the benchmark for ternary mixtures: Determination of Soret coefficients by the thermogravitational and the sliding symmetric tubes techniques. Eur. Phy. J. E 38(4), 28 (2015)
Larre, J.P., Platten, J.K., Chavepeyer, G.: Soret effects in ternary systems heated from bellow. Int. J. Heat Mass Tran. 40(3), 545–555 (1997)
Leahy-Dios, A., Bou-Ali, M.M., Platten, J.K., Firoozabadi, A.: Measurements of molecular and thermal diffusion coefficients in ternary mixtures. J. Chem. Phys. 122(23), 234502 (2005)
Martin-Mayor, A., Bou-Ali, M.M., Aginagalde, M., Urteaga, P.: Microfluidic separation processes using the thermodiffusion effect. Int. J. Therm. Sci. 124, 279–287 (2018)
Mialdun, A., Shevtsova, V.: Communication: New approach for analysis of thermodiffusion coefficients in ternary mixtures. J. Chem. Phys. 138(16), 161102 (2013)
Mialdun, A., Legros, J.C., Yasnou, V., Sechenyh, V., Shevtsova, V.: Contribution to the benchmark for ternary mixtures: Measurements of the Soret, diffusion and thermodiffusion coefficients in the ternary mixture THN/IBB/nC12 with 0.8/0.1/0.1 mass fractions in ground and orbital laboratories. Eur. Phys. J. E 38(4), 27 (2015)
Mialdun, A., Shevtsova, V.: Analysis of multi-wavelength measurements of diffusive properties via dispersion dependence of optical properties. Appl. Optics 56(3), 572–581 (2017)
Mialdun, A., Ryzhkov, I., Khlybov, O., Lyubimova, T., Shevtsova, V.: Measurement of Soret coefficients in a ternary mixture of toluene-methanol-cyclohexane in convection-free environment. J. Chem. Phys. 148(4), 044506 (2018)
Mialdun, A., Bataller, H., Bou-Ali, M.M., Braibanti, M., Croccolo, F., Errarte, A., Ezquerro, J.M., Fernandez, J.J., Gaponenko, Yu, Garcia-Fernandez, L., Rodriguez, J., Shevtsova, V.: Preliminary analysis of Diffusion Coefficient Measurements in ternary mIXtures 4 (DCMIX4) experiment on board the International Space Station. Eur. Phys. J. E 42(7), 87 (2019)
Naumann, P., Martin, A., Kriegs, H., Larranaga, M., Bou-Ali, M.M., Wiegand, S.: Development of a Thermogravitational Micro-column with an interferometric contracless detection system. J. Phys. Chem. B 116(47), 13889–13897 (2012)
Ning, H., Wiegand, S.: Experimental investigation of the Soret effect in acetone/water and dimethylsulfoxide/water mixtures. J. Chem. Phys. 125(22), 221102 (2006)
Sechenyh, V., Legros, J.C., Shevtsova, V.: Development and validation of a new setup for measurements of diffusion coefficents in ternary mixtures using the Taylor dispersion technique. CR Mechanique 341(4–5), 490–496 (2013a)
Sechenyh, V., Legros, J.C.. Shevtsova, V.: Optical properties of binary and ternary liquid mixtures containing tetralin, isobutylbenzene and dodecane. J. Chem. Thermodyn. 62, 64–68 (2013b)
Šeta, B., Lapeira, E., Dubert, D., Gavalda, F., Bou-Ali, M.M., Ruiz, X.: Separation under thermogravitational effects in binary mixtures. Eur. Phys. J. E 42(5), 58 (2019a)
Šeta, B., Errarte, A., Dubert, D., Gavalda, J., Bou-Ali, M.M., Ruiz, X.: Gravitational stability analysis on double diffusion convection in ternary mixtures. Acta Astronaut. 160, 442–450 (2019b)
Šeta, B., Gavaldà, J., Bou-Ali, M.M., Ruiz, X., Santamaria, C.: (2019c) Determining diffusion, thermodiffusion and Soret coefficients by the thermogravitational technique in binary Mixture with optical digital interferometry analysis. Int. J. Heat Mass Tran. 147, 118935 (2020)
Triller, T., Sommermann, D., Schraml, M., Sommer, F., Lapeira, E., Bou-Ali, M.M., Köhler, W.: The Soret effect in ternary mixtures of water + ethanol + triethylene glycol of equal mass fractions: Ground and microgravity experiments. Eur. Phys. J. E 42(3), 1–11 (2019)
Yahya, M., Saghir, M.Z.: Prediction and experimental measurements of refractive index in ternary hydrocarbon mixtures. J. Chem. Eng. Data 60(8), 2329–2342 (2015)
Acknowledgements
This work was supported by the Ministerio de Ciencia, Innovación y Universidades and the European Regional Development Fund (FEDER) (grant numbers: ESP2017-83544-C3-1-P and ESP2017-83544-C3-3-P) and by a DCMIX (AO-2009-0858/1056) from the European Space Agency. It was also supported by the Research Group Program (IT1009-16) and µ4F (KK-2019/0010) from the Basque Government and the Universitat Rovira i Virgili (URV) (grant number DLRF4741).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
There are no conflicts to declare.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This article belongs to the Topical Collection: The Effect of Gravity on Physical and Biological Phenomena
Guest Editor: Valentina Shevtsova
Rights and permissions
About this article
Cite this article
Šeta, B., Lapeira, E., Gavalda, J. et al. Steady-state Measurements of Ternary Mixtures in Thermogravitational Microcolumn Using Optical Digital Interferometry. Microgravity Sci. Technol. 33, 18 (2021). https://doi.org/10.1007/s12217-020-09861-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12217-020-09861-5