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Stress and bubble pressure response of wet foam to continuous and oscillatory sinusoidal shear

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Abstract.

Wet foam, as a typical multiphase soft material, has complex spatial structure. Foam quality (i.e., gas fraction of a foam fluid), one of fundamental structure parameters of a foam system, generally has a significant influence on the mechanical response of the wet foam to the continuous and oscillatory shear. This study shows that the stress level of the wet foam, including the shear stress and the normal stress difference, rises with the foam quality. An exponential link between the yield stress of wet foam and the foam quality is demonstrated. In the oscillatory sinusoidal shear, a frequent fluctuation of the stress curve mainly occurs at the relatively higher strain rate, and the stress state in the foam is still maintained at the end of the oscillatory shear. Further, with the increase of foam quality, the loss modulus decreases when the foam does not yield, while the storage modulus as well as the loss modulus increases as the strain amplitude exceeds a certain value. Additionally, a nonlinear stress response of the wet foam is mainly attributed to the third harmonic component as the strain amplitude increases in the oscillatory shear. In the shear, the average level of bubble pressure in the foam increases with the foam quality, and it fluctuates with the strain owing to the elastic-plastic deformations of the films. Especially, in the oscillatory shear, the average bubble pressure fluctuates more frequently as the strain rate reaches a relatively higher value.

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References

  1. D. Weaire, R. Höhler, S. Hutzler, Adv. Colloid Interface Sci. 247, 491 (2017)

    Article  Google Scholar 

  2. P.M. Ireland, G.J. Jameson, Int. J. Min. Process. 102, 78 (2012)

    Article  Google Scholar 

  3. X. Luo, S. Wang, Z. Wang, Z. Jing, M. Lv, J. Pet. Sci. Eng. 120, 154 (2014)

    Article  Google Scholar 

  4. S. CohenAddad, R. Höhler, O. Pitois, Annu. Rev. Fluid Mech. 45, 241 (2013)

    Article  ADS  Google Scholar 

  5. Z. Jing, S. Wang, M. Lv, Z. Wang, X. Luo, Soft Matter 11, 2973 (2015)

    Article  ADS  Google Scholar 

  6. D. Weaire, Curr. Opin. Colloid Interface Sci. 13, 171 (2008)

    Article  Google Scholar 

  7. B. Dollet, C. Raufaste, C. R. Phys. 15, 731 (2014)

    Article  ADS  Google Scholar 

  8. S. Cohen Addad, R. Höhler, Curr. Opin. Colloid Interface Sci. 19, 536 (2014)

    Article  Google Scholar 

  9. Z. Jing, S. Wang, M. Lv, Z. Wang, X. Luo, J. Fluids Eng. Trans. ASME 137, 041206 (2015)

    Article  Google Scholar 

  10. N.P. Kruyt, J. Appl. Mech. 74, 560 (2007)

    Article  ADS  Google Scholar 

  11. G. Debregeas, H. Tabuteau, J.-M. Di Meglio, Phys. Rev. Lett. 87, 178305 (2001)

    Article  ADS  Google Scholar 

  12. G. Katgert, A. Latka, M.E. Möbius, M. van Hecke, Phys. Rev. E 79, 066318 (2009)

    Article  ADS  Google Scholar 

  13. S. Costa, S. Cohen-Addad, A. Salonen, R. Höhler, Soft Matter 9, 886 (2013)

    Article  ADS  Google Scholar 

  14. A. Kabla, G. Debregeas, J. Fluid Mech. 587, 23 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  15. A. Kabla, J. Scheibert, G. Debregeas, J. Fluid Mech. 587, 45 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  16. C. Li, Y. Huang, X. Sun, R. Gao, F. Zeng, P. Tontiwachwuthikul, Z. Liang, Chem. Eng. Sci. 170, 720 (2017)

    Article  Google Scholar 

  17. A. Kovscek, T. Patzek, C. Radke, Chem. Eng. Sci. 50, 3783 (1995)

    Article  Google Scholar 

  18. B. Dollet, F. Graner, J. Fluid Mech. 585, 181 (2007)

    Article  ADS  Google Scholar 

  19. K.A. Brakke, Exp. Math. 1, 141 (1992)

    Article  MathSciNet  Google Scholar 

  20. A.M. Kraynik, D.A. Reinelt, F. van Swol, Phys. Rev. Lett. 93, 208301 (2004)

    Article  ADS  Google Scholar 

  21. Z. Jing, S. Wang, Z. Wang, Langmuir 32, 2419 (2016)

    Article  Google Scholar 

  22. I.B. Ivanov, A.S. Dimitrov, A.D. Nikolov, N.D. Denkov, P.A. Kralchevsky, J. Colloid Interface Sci. 151, 446 (1992)

    Article  ADS  Google Scholar 

  23. S.J. Cox, E.L. Whittick, Eur. Phys. J. E 21, 49 (2006)

    Article  Google Scholar 

  24. G. Marion, S. Sahnoun, B. Mendiboure, C. Dicharry, J. Lachaise, Trends Colloid Interface Sci. VI, 145 (1992)

    Google Scholar 

  25. C. Kalelkar, A. Lele, S. Kamble, Phys. Rev. E 81, 031401 (2010)

    Article  ADS  Google Scholar 

  26. B.S. Murray, R. Ettelaie, Curr. Opin. Colloid Interface Sci. 9, 314 (2004)

    Article  Google Scholar 

  27. T.G. Mason, J. Bibette, D.A. Weitz, J. Colloid Interface Sci. 179, 439 (1996)

    Article  ADS  Google Scholar 

  28. A. Saintjalmes, D.J. Durian, J. Rheol. 43, 1411 (1999)

    Article  ADS  Google Scholar 

  29. S. Marze, R.M. Guillermic, A. Saintjalmes, Soft Matter 5, 1937 (2009)

    Article  ADS  Google Scholar 

  30. F. Bolton, D. Weaire, Phys. Rev. Lett. 65, 3449 (1990)

    Article  ADS  Google Scholar 

  31. F. Rouyer, S. Cohen-Addad, R. Höhler, P. Sollich, S. Fielding, Eur. Phys. J. E 27, 309 (2008)

    Article  Google Scholar 

  32. D. Weaire, R. Phelan, J. Phys.: Condens. Matter 8, 9519 (1996)

    ADS  Google Scholar 

Download references

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Correspondence to Zefeng Jing.

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Jing, Z., Feng, C., Wang, S. et al. Stress and bubble pressure response of wet foam to continuous and oscillatory sinusoidal shear. Eur. Phys. J. E 41, 149 (2018). https://doi.org/10.1140/epje/i2018-11761-1

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