Skip to main content
Log in

Optimization of Taylor Dispersion Technique for Measurement of Mutual Diffusion in Benchmark Mixtures

  • ORIGINAL ARTICLE
  • Published:
Microgravity Science and Technology Aims and scope Submit manuscript

Abstract

The Taylor dispersion technique has been used for measuring binary mutual diffusion coefficients for mixtures of 1,2,3,4-tetrahydronaphthalene (THN), isobutylbenzene (IBB) and dodecane (C12 H 26) at 0.5:0.5 mass fraction symmetric points, and for 0.9:0.1 mass fraction in IBB- C12 H 26. From the Stokes–Einstein equation and our experimental results, the limiting diffusion coefficients, D 0, and the equivalent solvated radii, R s, have been estimated at infinitesimal concentration of these species (TNH, IBB and C12 H 26). The measured diffusion coefficients are used to estimate activity coefficients of the components in the mixture, contributing to a better understanding of the structure of such systems and of their thermodynamic behaviour at different concentrations. We have also investigated the diffusion properties for a ternary system containing equal mass fractions of all the components (0.33THN: 0.33IBB: 0.33C12 H 26) and at 298.15 K.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

  • Ahadi, A., Saghir, M.Z.: Contribution to the benchmark for ternary mixtures: transient analysis in microgravity conditions. Eur. Phys. J. E, 38 (2015)

  • Alizadeh, A., Nieto de Castro C.A., Wakeham W.A.: The theory of the Taylor dispersion for technique for liquid diffusivity measurements. Int. J. Thermophys. 1, 243–284 (1980)

    Article  Google Scholar 

  • Aminabhavi, T.M., Gopalakrishna, B.: Densities, viscosities, and refractive indices of Bis(2-methoxyethyl) Ether + Cyclohexane or + 1,2,3,4-Tetrahydronaphthalene and of 2-Ethoxyethanol + Propan-1-ol, + Propan-2-ol, or + Butan-1-ol. J. Chem. Eng. Data 40, 462–467 (1995)

    Article  Google Scholar 

  • Barthel, J., Gores, H.J., Lohr, C.M., Seidl, J.J.: Taylor dispersion measurements at low electrolyte concentrations. I. Tetraalkylammonium perchlorate aqueous solutions. J. Solut. Chem. 25, 921–935 (1996)

    Article  Google Scholar 

  • Callendar, R., Leaist, D.G.: Diffusion coefficients for binary, ternary and polydisperse solutions from peak-width analysis of Taylor dispersion profiles. J. Solut. Chem. 35, 353–379 (2006)

    Article  Google Scholar 

  • Deng, Z., Leaist, D.G.: Ternary mutual diffusion coefficients of MgCl2+ MgSO4+ H2O and Na2 SO4+ MgSO4+ H2O from Taylor dispersion profiles. Can. J. Chem. 69, 1548–1553 (1991)

    Article  Google Scholar 

  • Erdey-Grúz, T.: Transport Phenomena in Aqueous Solutions, 2nd edn. Adam Hilger, London (1974)

    Google Scholar 

  • Gebhardt, M., Köhler, W., Mialdun, A., Yasnou, V., Shevtsova, V.: Diffusion, thermal diffusion, and Soret coefficients and optical contrast factors of the binary mixtures of dodecane, isobutylbenzene, and 1,2,3,4-tetrahydronaphthalene. J. Chem. Phys. 138, 114503 (2013)

    Article  Google Scholar 

  • Galand, Q., Van Vaerenbergh, S.: Contribution to the benchmark for ternary mixtures: Measurement of diffusion and Soret coefficients of ternary system tetrahydronaphtalene-isobutylbenzene-n-dodecane with mass fractions 80-10-10 at 25 C. Eur. Phys. J. E 38, 26 (2015)

    Article  Google Scholar 

  • Khlybov, A., Ryzhkov, I.I., Lyubimova, T.P.: Contribution to the benchmark for ternary mixtures: Measurement of diffusion and Soret coefficients in 1,2,3,4-tetrahydronaphthalene, isobutylbenzene, and dodecane onboard the ISS. Eur. Phys. J. E 38, 29 (2015)

    Article  Google Scholar 

  • Koninger, A., Wunderlich, H., Koher, W.: Measurement of diffusion and thermal diffusion in ternary fluid mixtures using a two-color optical beam deflection technique. J. Chem. Phys. 132, 174506 (2010)

    Article  Google Scholar 

  • Larrañaga, M., Bou-Ali, M.M., Soler, D., Martinez-Agirre, M., Mialdun, A., Shevtsova, V.: Remarks on the analysis method for determining diffusion coefficient in ternary mixtures. C. R. Mecanique 341, 356–364 (2013)

    Article  Google Scholar 

  • Legros, J.C., Gaponenko, Y., Mialdun, A., Triller, T., Hammon, A., Bauer, C., Kohler, W., Shevtsova, V.: Investigation of Fickian diffusion in the ternary mixtures of water–ethanol–triethylene glycol and its binary pairs. Phys. Chem. Chem. Phys. 17, 27713 (2015)

    Article  Google Scholar 

  • Loh, W.: Taylor dispersion technique for investigation of diffusion in liquids and its applications. Quim. Nova. 20, 541–545 (1997)

    Article  Google Scholar 

  • Margules, M. Sitzber. Akad. Wizz. Wien, Math. Naturw Klasse II 104, 1243–78 (1895)

    Google Scholar 

  • Mialdun, A., Shevtsova, V.: Measurement of the Soret and diffusion coefficients for benchmark binary mixtures by means of digital interferometry. J. Chem. Phys. 134, 044524 (2011)

    Article  Google Scholar 

  • Mialdun, A., Sechenyh, V., Legros, J.C., Ortiz de Zárate, J.M., Shevtsova, V.: Investigation of Fickian diffusion in the ternary mixture of 1,2,3,4-tetrahydronaphthalene, isobutylbenzene, and dodecane. J. Chem. Phys. 139, 104903 (2013)

    Article  Google Scholar 

  • Mialdun, A., Legros, J.C., Yasnou, V., Sechenyh, V., Shevtsova, V.: Contribution to the benchmark for ternary mixtures: measurement 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, 27 (2015)

    Article  Google Scholar 

  • Platten, J.K., Bou-Ali, M.M., Costeseque, P., Dutrieux, J.F., Kohlerk, W., Leppla, C., Wieg, S., Wittkok, G.: Benchmark values for the Soret, thermal diffusion and diffusion coefficients of three binary organic liquid mixtures. Phil. Mag. 83, 1965–1971 (2003)

    Article  Google Scholar 

  • Rathnam, M.V., Jain, K., Kumar, M.S.S.: Physical properties of binary mixtures of ethyl formate with Benzene, Isopropyl Benzene, Isobutyl Benzene, and Butylbenzene at (303.15, 308.15, and 313.15) K. J. Chem. Eng. Data 55, 1722–1726 (2010)

    Article  Google Scholar 

  • Ribeiro, A.C.F., Leaist, D.G., Esteso, M.A., Lobo, V.M.M., Valente, A.J.M., Santos, C.I.A.V., Cabral, A.M.T.D.P.V., Veiga, F.J.B.: Binary mutual Diffusion Coefficients of Aqueous Solutions of β-cyclodextrin at Temperatures from 298.15 to 312.15 K. J. Chem. Eng. Data 51, 1368–1371 (2006)

    Article  Google Scholar 

  • Ribeiro, A.C.F., Santos, C.I.A.V., Lobo, V.M.M.: Esteso M.A, Quaternary diffusion coefficients of β-cyclodextrin + KCl + caffeine + water at 298.15 K using a Taylor dispersion method. J. Chem. Eng. Data 55, 2610–2612 (2010)

    Article  Google Scholar 

  • Ribeiro, A.C.F., Gomes, J.C.S., Santos, C.I.A.V., Lobo, V.M.M., Esteso, M.A., Leaist, D.G.: Ternary mutual diffusion coefficients of aqueous NiCl2 + NaCl and NiCl2 + HCl solutions at 298.15 K. J. Chem. Eng. Data 56, 4696–4699 (2011)

    Article  Google Scholar 

  • Santos, C.I.A.V., Esteso, M.A., Sartorio, R., Ortona, O., Sobral, A.J.N., Arranja, C.T., Lobo, V.M.M., Ribeiro, A.C.F.: A comparison between the diffusion properties of Theophylline/ β-Cyclodextrin and Theophylline/2-Hydroxypropyl- β-Cyclodextrin in Aqueous Systems. J. Chem. Eng. Data 57, 1881–1886 (2012)

    Article  Google Scholar 

  • Santos, C.I.A.V., Ribeiro, A.C.F., Veríssimo, L.M.P., Lobo, V.M.M., Esteso, M.A.: Influence of potassium chloride on diffusion of 2-hydroxypropyl- β cyclodextrin and β-cyclodextrin at T = 298.15 K and T = 310.15 K. J. Chem. Thermodyn. 57, 220–223 (2013)

    Article  Google Scholar 

  • Santos, C.I.A.V., Esteso, M.A., Lobo, V.M.M., Cabral, A.M.T.D.P.V., Ribeiro, A.C.F.: Taylor dispersion technique as a tool for measuring multicomponent diffusion in drug delivery systems at physiological temperature. J. Chem. Thermodyn. 84, 76–80 (2015)

    Article  Google Scholar 

  • Sechenyh, V., Legros, J.C., Shevtsova, V.: Development and validation of a new setup for measurements of diffusion coefficients in ternary mixtures using the Taylor dispersion technique. C. R. Mecanique 341, 490–496 (2013)

    Article  Google Scholar 

  • Shapiro, A.A., Davis, P.K., Duda, J.L.: Diffusion in multicomponent mixtures. In: Gani, R., Kontogeorgis, G.K. (eds.) Computer aided property estimation. Elsevier, Amsterdam (2004)

  • Shevtsova, V., Gaponenko, Y.A., Sechenyh, V., Melnikov, D.E., Lyubimova, T., Mialdun, A.: Dynamics of a binary mixture subjected to a temperature gradient and oscillatory forcing. J. Fluid Mech. 767, 290 (2015)

    Article  MathSciNet  Google Scholar 

  • Tyrrel, H.J.V.: The origin and present status of Fick’s diffusion law. J. Chem. Ed. 41, 397–400 (1964)

    Article  Google Scholar 

Download references

Acknowledgments

The authors are grateful for funding from the Coimbra Chemistry Centre, which is supported by the Fundação para a Ciência e a Tecnologia (FCT), Portuguese Agency for Scientific Research, through the programmes UID/QUI/UI0313/2013 and COMPETE. C.I.A.V.S. also thanks the FCT for support through Grant SFRH/BPD/92851/2013.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to C. I. A. V. Santos or A. C. F. Ribeiro.

Additional information

This article belongs to the Topical Collection: Advances in Gravity-related Phenomena in Biological, Chemical and Physical Systems. Guest Editors: Valentina Shevtsova, Ruth Hemmersbach

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Santos, C.I.A.V., Shevtsova, V., Burrows, H.D. et al. Optimization of Taylor Dispersion Technique for Measurement of Mutual Diffusion in Benchmark Mixtures. Microgravity Sci. Technol. 28, 459–465 (2016). https://doi.org/10.1007/s12217-016-9498-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12217-016-9498-5

Keywords

Navigation