Display options
Cite
Rabani R, Machrafi H, Dauby P. Effect of including a gas layer on the gel formation process during the drying of a polymer solution. Eur Phys J E Soft Matter. 2017;40(10):89doi: 10.1140/epje/i2017-11579-3.
Rabani, R., Machrafi, H., & Dauby, P. (2017). Effect of including a gas layer on the gel formation process during the drying of a polymer solution. The European physical journal. E, Soft matter, 40(10), 89. https://doi.org/10.1140/epje/i2017-11579-3
Rabani, Ramin, et al. "Effect of including a gas layer on the gel formation process during the drying of a polymer solution." The European physical journal. E, Soft matter vol. 40,10 (2017): 89. doi: https://doi.org/10.1140/epje/i2017-11579-3
Rabani R, Machrafi H, Dauby P. Effect of including a gas layer on the gel formation process during the drying of a polymer solution. Eur Phys J E Soft Matter. 2017 Oct 17;40(10):89. doi: 10.1140/epje/i2017-11579-3. PMID: 29030764.
Copy Download .nbib Format: NLM
Share it on

Eur Phys J E Soft Matter. 2017 Oct 17;40(10):89. doi: 10.1140/epje/i2017-11579-3.

Effect of including a gas layer on the gel formation process during the drying of a polymer solution.

The European physical journal. E, Soft matter

Ramin Rabani, Hatim Machrafi, Pierre Dauby

Affiliations

  1. University of Liège, Thermodynamics of Irreversible Phenomena, Allée du 6-Août, 19, BE-4000, Liège, Belgium. [email protected].
  2. University of Liège, Thermodynamics of Irreversible Phenomena, Allée du 6-Août, 19, BE-4000, Liège, Belgium.

PMID: 29030764 DOI: 10.1140/epje/i2017-11579-3

Abstract

In this paper, we study the influence of the upper gas layer on the drying and gelation of a polymer solution. The gel is formed due to the evaporation of the binary solution into (inert) air. A one-dimensional model is proposed, where the evaporation flux is more realistically described than in previous studies. The approach is based on general thermodynamic principles. A composition-dependent diffusion coefficient is used in the liquid phase and the local equilibrium hypothesis is introduced at the interface to describe the evaporation process. The results show that the high thickness of the gas layer reduces evaporation, thus leading to longer drying times. Our model is also compared with more phenomenological descriptions of evaporation, for which the mass flux through the interface is described by the introduction of a Peclet number. A global agreement is found for appropriate values of the Peclet numbers and our model can thus be considered as a tool allowing to link the value of the empirical Peclet number to the physics of the gas phase. Finally, in contrast with other models, our approach emphasizes the possibility of very fast gelation at the interface, which could prevent all Marangoni convection during the drying process.

Keywords: Flowing Matter: Liquids and Complex Fluids

References

  1. J Colloid Interface Sci. 2017 Feb 15;488:61-71 - PubMed
  2. Rep Prog Phys. 2013 Apr;76(4):046603 - PubMed
  3. Langmuir. 2009 May 5;25(9):4945-53 - PubMed
  4. Langmuir. 2008 Jul 15;24(14):7580-9 - PubMed
  5. J Colloid Interface Sci. 2011 Jul 1;359(1):112-20 - PubMed
  6. Eur Phys J E Soft Matter. 2010 Dec;33(4):283-9 - PubMed
  7. Langmuir. 2005 Jul 19;21(15):7057-60 - PubMed
  8. J Colloid Interface Sci. 2000 Jul 1;227(1):191-205 - PubMed
  9. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 May;91(5):053018 - PubMed
  10. Science. 1999 Jan 22;283(5401):520-2 - PubMed
  11. Langmuir. 2004 Aug 31;20(18):7789-93 - PubMed
  12. Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Mar;77(3 Pt 1):030501 - PubMed

Publication Types