Abstract
Measurements of non-isothermal diffusion in ternary mixtures under microgravity conditions are performed in the framework of the DCMIX (Diffusion and thermodiffusion Coefficient Measurements in ternary mIXtures) project aboard the ISS by means of the SODI instrument. Its digital Mach-Zehnder interferometer permits the time resolved determination of the 2d-refractive index profile within a Soret cell at two different detection wavelengths of 670 and 935 nm. The operation of the interferometer is based on temporal phase stepping, where five consecutive images with a phase shift of π/2 are combined to an image stack. We present a robust method for the evaluation of these interferometric data by mapping the time evolution of the phase gradient in the center of the cell to an equivalent two-color optical beam deflection (2-OBD) experiment. It allows to extract transients of the central phase gradient even in occasional situations where temporal phase stepping breaks down due to laser instabilities. For this purpose, only a single image from every image stack, instead of five images with well controlled π/2-phase stepping, is required. Our results demonstrate the sound design and the robustness of the SODI instrument, which still yields fully valid data even in the event of unexpected laser phase instabilities.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ahadi, A., Varenbergh, S.V., Saghir, M.Z.: J. Chem. Phys. 138, 204201 (2013). https://doi.org/10.1063/1.4802984
Ahadi, A., Ziad Saghir, M.: Eur. Phys. J. E 38, 25 (2015). https://doi.org/10.1140/epje/i2015-15025-4
Bou-Ali, M.M., Ahadi, A., de Mezquia, D.A., Galand, Q., Gebhardt, M., Khlybov, O., Köhler, W., Larrañaga, M., Legros, J.C., Lyubimova, T., Mialdun, A., Ryzhkov, I., Saghir, M.Z., Shevtsova, V., Vaerenbergh, S.V.: Eur. Phys. J. E 38, 30 (2015). https://doi.org/10.1140/epje/i2015-15030-7
de Mezquia, D.A., naga, M.L., Bou-Ali, M.M., Madariaga, J.A., Santamaria, C., Platten, J.K.: Int. J. Thermal Sci. 92, 14 (2015). https://doi.org/10.1016/j.ijthermalsci.2015.01.013
Galand, Q., Van Vaerenbergh, S.: Eur. Phys. J. E 38, 26 (2015). https://doi.org/10.1140/epje/i2015-15026-3
Gebhardt, M., Köhler, W.: Eur. Phys. J. E 38, 24 (2015a). https://doi.org/10.1140/epje/i2015-15024-5
Gebhardt, M., Köhler, W.: J. Chem. Phys. 142, 084506 (2015b). https://doi.org/10.1063/1.4908538
Gebhardt, M., Köhler, W.: J. Chem. Phys. 143, 164511 (2015c). https://doi.org/10.1063/1.4934718
Haugen, K.B., Firoozabadi, A.: J. Phys. Chem. B 110, 17678 (2006). https://doi.org/10.1021/jp062382m
Jurado, R., Gavalda, J., Simon, M.J., Pallares, J., Laveron-Simavilla, A., Ruiz, X., Shevtsova, V.: Acta Astronaut. 129, 345 (2016). https://doi.org/10.1016/j.actaastro.2016.09.033
Jurado, R., Pallares, J., Gavalda, J., Ruiz, X.: Int. J. Thermal Sci. 132, 186 (2018). https://doi.org/10.1016/j.ijthermalsci.2018.05.040
Khlybov, O.A., Ryzhkov, I.I., Lyubimova, T.P.: Eur. Phys. J. E 38, 29 (2015). https://doi.org/10.1140/epje/i2015-15029-0
Köhler, W., Morozov, K.I.: J. Non-Equilib. Thermodyn. 41, 151 (2016). https://doi.org/10.1515/jnet-2016-0024
Königer, A., Wunderlich, H., Köhler, W.: J. Chem. Phys. 132, 174506 (2010). https://doi.org/10.1063/1.3421547
Kreis, T.: Handbook of Holographic Interferometry: Optical and Digital Methods. Wiley, Hoboken (2005)
Larrañaga, M., Bou-Ali, M.M., de Mezquia, D.A., Rees, D.A.S., Madariaga, J.A., Santamaria, C., Platten, J.K.: Eur. Phys. J. E 38, 28 (2015). https://doi.org/10.1140/epje/i2015-15028-1
Legros, J.C., Gaponenko, Y., Mialdun, A., Triller, T., Hammon, A., Bauer, C., Köhler, W., Shevtsova, V.: Phys. Chem. Chem. Phys. 17, 27713 (2015). https://doi.org/10.1039/C5CP04745E
Mialdun, A., Legros, J.C., Yasnou, V., Sechenyh, V., Shevtsova, V.: Eur. Phys. J. E 38, 27 (2015). https://doi.org/10.1140/epje/i2015-15027-2
Mialdun, A., Minetti, C., Gaponenko, Y., Shevtsova, V., Dubois, F.: Microgravity Sci. Tec. 25, 83 (2013). https://doi.org/10.1007/s12217-012-9337-2
Mialdun, A., Ryzhkov, I., Khlybov, O., Lyubimova, T., Shevtsova, V.: J. Chem. Phys. 148, 044506 (2018). https://doi.org/10.1063/1.5017716
Mounir, B.A.S.M., Platten, J.K.: J. Non-Equilib. Thermodyn. 30, 385 (2005). https://doi.org/10.1515/JNETDY.2005.027
Ollé, J., Dubert, D., Gavaldà, J., Laveron-Simavilla, A., Ruiz, X., Shevtsova, V.: Acta Astronaut. 140, 409 (2017). https://doi.org/10.1016/j.actaastro.2017.09.007
Pearlstein, A.J., Harris, R.M., Terrones, G.: J. Fluid Mech. 202, 443 (1989). https://doi.org/10.1017/S0022112089001242
Piazza, R., Guarino, A.: Phys. Rev. Lett. 88, 208302 (2002). https://doi.org/10.1103/PhysRevLett.88.208302
Platten, J.K., Legros, J.C.: Convection in Liquids. Springer, Heidelberg (1984)
Sechenyh, V., Legros, J.C., Shevtsova, V.: J. Chem. Thermodyn. 43, 1700 (2011). https://doi.org/10.1016/j.jct.2011.05.034
Shevtsova, V., Sechenyh, V., Nepomnyashchy, A., Legros, J.C.: Philos. Mag. 91, 3498 (2011). https://doi.org/10.1080/14786435.2011.586376
Shevtsova, V., Santos, C., Sechenyh, V., Legros, J.C., Mialdun, A.: Microgravity Sci. Tec. 25, 275 (2014). https://doi.org/10.1007/s12217-013-9349-6
Touzet, M., Galliero, G., Lazzeri, V., Saghir, M.Z., Montel, F., Legros, J.C.: CR Mecanique 339, 318 (2011). https://doi.org/10.1016/j.crme.2011.03.008
Triller, T.: Diffusive Properties of the System Water/Ethanol/Triethylene Glycol in Microgravity and Ground Conditions. Ph.D. thesis, Universität Bayreuth. https://epub.uni-bayreuth.de/3861/ (2018)
Triller, T., Bataller, H., Bou-Ali, M.M., Braibanti, M., Croccolo, F., Ezquerro, J.M., Galand, Q., Gavaldà, J., Lapeira, E., Laverón-Simavilla, A., Lyubimova, T., Mialdun, A., de Zárate, J. M. O., Rodríguez, J., Ruiz, X., Ryzhkov, I.I., Shevtsova, V., Vaerenbergh, S.V., Köhler, W.: Microgravity Sci. Tec. 30, 295 (2018). https://doi.org/10.1007/s12217-018-9598-5
Triller, T., Sommermann, D., Schraml, M., Sommer, F., Lapeira, E., Bou-Ali, M.M., Köhler, W.:, vol. 42. https://doi.org/10.1140/epje/i2019-11789-7. https://rdcu.be/bpGYk (2019)
Vaerenbergh, S.V., Garandet, J.P., Praizey, J.P., Legros, J.C.: Phys. Rev. E 58, 1866 (1998). https://doi.org/10.1103/PhysRevE.58.1866
Van Vaerenbergh, S., Legros, J.C., Dupin, J.C.: Adv. Space Res. 16, 69 (1995). https://doi.org/10.1016/0273-1177(95)00273-H
Van Vaerenbergh, S., Legros, J.C.: J. Phys. Chem. B 102, 4426 (1998). https://doi.org/10.1021/jp9802329
Wiegand, S.: J. Phys.: Condens. Matter 16, R357 (2004). https://doi.org/10.1088/0953-8984/16/10/R02
Acknowledgements
We thank ESA and Roscosmos for providing the flight and operations opportunity. This work was supported by Deutsches Zentrum für Luft- und Raumfahrt (DLR) (Grants 50WM1130, 50WM1544).
Author information
Authors and Affiliations
Corresponding author
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: Thirty Years of Microgravity Research - A Topical Collection Dedicated to J. C. Legros
Guest Editor: Valentina Shevtsova
Rights and permissions
About this article
Cite this article
Sommermann, D., Triller, T. & Köhler, W. A Robust Data Evaluation Method for the DCMIX Microgravity Experiments. Microgravity Sci. Technol. 31, 465–474 (2019). https://doi.org/10.1007/s12217-019-09722-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12217-019-09722-w