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Isaeva E. A., Isaeva A. A., Pantyukov . V., Zimnyakov D. A. Speckle correlometry as a method for evaluating the dynamics of the liquids foam. Izvestiya of Saratov University. Physics , 2022, vol. 22, iss. 3, pp. 220-228. DOI: 10.18500/1817-3020-2022-22-3-220-228, EDN: MCTYGN

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Speckle correlometry as a method for evaluating the dynamics of the liquids foam

Isaeva Elena Andreevna, Yuri Gagarin State Technical University of Saratov
Isaeva Anna Andreevna, Yuri Gagarin State Technical University of Saratov
Pantyukov Alexsey V., Yuri Gagarin State Technical University of Saratov
Zimnyakov Dmitry Aleksandrovich, Yuri Gagarin State Technical University of Saratov

Background and Objectives: The two-phase gas-liquid foams have been an active object of research over the past few decades. Usually, during the coarsening of the foam such physical processes as a foam syneresis (the liquid drainage along the Plateau channel and the bubble walls under the gravity), an Oswald ripening of the gas bubbles, and their coalescence are investigated. Another process that accompanies the aging of gas-liquid foams is the evaporation of the liquid component of the foam that is insufficiently described in the literature. Each of these processes is characterized by its own kinetics. The major factors that determine the dynamic and kinematic characteristics of the foams are the volume fraction of the liquid in the foam, the rheological properties of foam films, the average thickness of films between the gas bubbles, and the dispersion of the system. The modern methods for the diagnostic of the structural rearrangements and the foam aging do not allow studying the evolution of the three-dimensional foams in the real time. In this work, a comparative analysis of the behavior of the time correlations of the intensity fluctuations of the scattered by the liquid foam laser radiation on long time scales is carried out for the case of the system with mass transfer of the liquid component due to its partial evaporation and the isolated system. Such studies play an important role in the development of the coherent-optical methods for the morphofunctional diagnostic of the micro- and nanostructured multiphase systems in the real time. Materials and Methods: The analysis of the evolution of the isolated and “open” liquid foams during their aging is carried out by use of the speckle correlometry method. Two series of the experiments were performed with an isolated system and an “open” system at a temperature of 24°C. Results: The correlation time of the intensity fluctuations of the radiation scattered by the medium was calculated from the normalized correlation function, based on the criterion of its decay by a factor of e. The dependences of the correlation time of the intensity fluctuations on the aging time for isolated and “open” systems are obtained. A phenomenological model to describe the increase in the correlation time of intensity fluctuations is proposed. Within the framework of the model, the experimental data agree with the model data for an isolated foam and correlates with a power law with an exponent equal to 1.5. Conclusion: A speckle-correlation analysis as method for the analysis of the local instabilities caused by the structural rearrangements in the foams under the coarsening was considered. The phenomenological model, that establishes the relationship between the correlation time of the intensity fluctuations of the laser radiation scattered by the foam and the aging time of the foam, is proposed. The obtained results may be useful for the further development of laser methods for the diagnostic of nonstationary multiphase systems with a complex structure and dynamics. 

This work was supported by the Russian Science Foundation (project No. 21-79-00051), https://rscf.ru/project/21-79-00051/ (The development of an complex acoustic and coherent-optical analyzer of the morphological and functional characteristics of the dispersed systems and the porous media for the monitoring of the processes of the synthesis and for the functionalization of the materials).
  1. Franklin S. F., Shattuck M. D. Handbook of Granular Materials. CRC Press, 2016. 522 p. https://doi.org/10.1201/b19291
  2. Durian D. J. Foam mechanics at the bubble scale. Phys. Rev. Lett., 1995, vol. 75, pp. 4780–4783. https://doi.org/10.1103/PhysRevLett.75.4780
  3. Weaire D., Hutzler S. The Physics of Foams. Oxford University Press, 2001. 264 p.
  4. Plateau J. A. F. Statique Experimentale et Theoreque des liquides. Paris, Gauthier-Villiard, 1873. 518 p. (in French).
  5. Furuta Y., Oikawa N., Kurita R. Close relationship between a dry–wet transition and a bubble rearrangement in two-dimensional foam. Sci. Rep., 2016, vol. 6, pp. 37506. https://doi.org/10.1038/srep37506
  6. Boromand A., Signoriello A., Lowensohn J., Orellana C. S., Weeks E. R., Ye F., Shattuck M. D., O’Her C. S. The role of deformability in determining the structural and mechanical properties of bubbles and emulsions. Soft Matter., 2019, vol. 15, pp. 5854–5865. https://doi.org/10.1039/C9SM00775J
  7. Miller R., Ferri J. K., Javadi A. Krägel J., Mucic N., Wüstneck R. Rheology of interfacial layers. Colloid and Polymer Science, 2010, vol. 288, pp. 937–950. https://doi.org/10.1007/s00396-010-2227-5
  8. Carrier V., Colin A. Coalescence in Draining Foams. Langmuir, 2003, vol. 19, pp. 4535–4538.
  9. Vandewalle N., Lentz J. F., Dorbolo S., Brisbois F. Avalanches of Popping Bubbles in Collapsing Foams. Phys. Rev. Lett., 2001, vol. 86, no. 1, pp. 179–182. https://doi.org/10.1103/PhysRevLett.86.179
  10. Vandewalle N., Lentz J. F. Cascades of popping bubbles along air / foam interfaces. Phys. Rev. E., 2001, vol. 64, pp. 021507. https://doi.org/10.1103/PhysRevE.64.021507
  11. Derjaguin B. V., Gutop Yu. V. Theory of destruction of free films. Kolloidnyi zhurnal [Colloidal Journal], 1962, vol. 24, no. 4, pp. 431–437 (in Russian).
  12. Manev E. D., Nguyen A. V. Critical thickness of microscopic thin liquid films. Advances in Colloid and Interface Science, 2005, vol. 114–115, no. 1, pp. 133–46. https://doi.org/10.1016/j.cis.2004.07.013
  13. Vrij A., Overbeek J. Th. G. Rupture of thin liquid films due to spontaneous fluctuations in thickness. J. Am. Chem. Soc., 1968, vol. 90, no. 12, pp. 3074–3078. https://doi.org/10.1021/ja01014a015
  14. Thomas G. L., Belmonte J. M., Graner F., Glazier J. A., de Almeida R. M. 3D simulations of wet foam coarsening evidence a self similar growth regime. Colloids and Surfaces A : Physicochemical and Engineering Aspects, 2015, vol. 473, pp. 109–114. https://doi.org/10.1016/j.colsurfa.2015.02.015
  15. Yanagisawa N., Kurita R. Size distribution dependence of collective relaxation dynamics in a two-dimensional wet foam. Sci. Rep., 2021, vol. 11, pp. 2786. https://doi.org/10.1038/s41598-021-82267-4
  16. Garing C., de Chalendar J. A., Voltolini M., AjoFranklin J. B., Benson S. M. Pore-scale capillary pressure analysis using multi-scale X-ray micromotography. Adv. Water Resour., 2017, vol. 104, pp. 223–241. https://doi.org/10.1016/j.advwatres.2017.04.006
  17. Gogoi S., Gogoi S. B. Review on microfluidic studies for EOR application. Journal of Petroleum Exploration and Production Technology, 2019, vol. 9, pp. 2263–2277. https://doi.org/10.1007/s13202-019-0610-4
  18. Azhar Z. Z., Zakaria Z., Bakar A. A., Naser M. A. M. Effectiveness of A Simple Image Enhancement Method in Characterizing Polyethylene Foam Morphology Using Optical Microscopy. Procedia Chemistry, 2016, vol. 19, pp. 477–484. https://doi.org/10.1016/j.proche.2016.03.041
  19. Yang Y. Q., Biviano M. D., Guo J. X., Berry J. D., Dagastine R. R. Mass transfer between microbubbles. J. Colloid Interface Sci., 2020, vol. 571, pp. 253–259. https://doi.org/10.1016/j.jcis.2020.02.120
  20. Mazen W. Y., Kanj Y. Review of foam stability in porous media : The effect of coarsening. Journal of Petroleum Science and Engineering, 2022, vol. 208, pp. 109698. https://doi.org/10.1016/j.petrol.2021.109698
  21. Ulianova O., Ulyanov S., Ulyanov A., Zaytsev S., Saltykov Y., Feodorova V. A. GB-speckle interference in molecular discrimination of bacterial pathogens : Using the s-LASCA method on the Chlamydia psittaci model. Izvestiya of Saratov University. Physics, 2021, vol. 21, iss. 4, pp. 315–328 (in Russian). https://doi.org/10.18500/1817-3020-2021-21-4-315-328
  22. Dávila A. Handbook of Speckle Interferometry. Bellingham, Spie Press Book, 2022. 118 p.
  23. Isaeva E. A., Isaeva A. A., Zimnyakov D. A. Structure diagnostics of dispersive two-phase systems using speckle correlation technique. Proc. SPIE, 2019, vol. 11066, pp. 110660Z. https://doi.org/10.1117/12.2523142
  24. Yuvchenko S. A., Tzyipin D. V., Isaeva A. A., Isaeva E. A., Zimnyakov D. A. Structure changes in metastable and unstable foams probed by multispeckle diffusing light spectroscopy. Proc. SPIE, 2018, vol. 10717, pp. 107171I. https://doi.org/10.1117/12.2315909
  25. Kruglyakov P. M., Ekserova D. R. Peny i pennye plenki [Foam and Foam Films]. Moscow, Khimiya Publ., 1990. 432 p. (in Russian).
  26. Coussot P. Scaling approach of the convective drying of a porous medium. Eur. Phys. J. B, 2000, vol. 15, pp. 557–566. https://doi.org/10.1007/s100510051160
  27. Zimnyakov D. A., Yuvchenko S. A., Isaeva A. A., Isaeva E. A., Tsypina D. V. Growth/collapse kinetics of the surface bubbles in fresh constrained foams : Transition to self-similar evolution. Colloids and Surfaces A, 2019, vol. 579, pp. 123693. https://doi.org/10.1016/j.colsurfa.2019.123693