Advertisement

Solute based Lagrangian scheme in modeling the drying process of soft matter solutions

  • Fanlong MengEmail author
  • Ling Luo
  • Masao Doi
  • Zhongcan Ouyang
Regular Article
Part of the following topical collections:
  1. Wetting and Drying: Physics and Pattern Formation

Abstract.

We develop a new dynamical model to study the drying process of a droplet of soft matter solutions. The model includes the processes of solute diffusion, gel-layer formation and cavity creation. A new scheme is proposed to handle the diffusion dynamics taking place in such processes. In this scheme, the dynamics is described by the motion of material points taken on solute. It is convenient to apply this scheme to solve problems that involve moving boundaries and phase changes. As an example, we show results of a numerical calculation for a drying spherical droplet, and discuss how initial concentration and evaporation rate affect the structural evolution of the droplet.

Graphical abstract

Keywords

Topical Issue: Wetting and Drying: Physics and Pattern Formation 

References

  1. 1.
    P.G. de Gennes, Eur. Phys. J. E 7, 31 (2002)CrossRefGoogle Scholar
  2. 2.
    T. Okuzono, K. Ozawa, M. Doi, Phys. Rev. Lett. 97, 136103 (2006)CrossRefADSGoogle Scholar
  3. 3.
    S. Arai, M. Doi, Eur. Phys. J. E 35, 57 (2012)CrossRefGoogle Scholar
  4. 4.
    C. Sadek, L. Pauchard, P. Schuck, Y. Fallourd, N. Pradeau, C. Le Floch-Fouéré, R. Jeantet, Food Hydrocoll. 48, 8 (2015)CrossRefGoogle Scholar
  5. 5.
    L. Pauchard, Y. Couder, Europhys. Lett. 66, 667 (2004)CrossRefADSGoogle Scholar
  6. 6.
    N. Tsapis, E.R. Dufresne, S.S. Sinha, C.S. Riera, J.W. Hutchinson, L. Mahadevan, D.A. Weitz, Phys. Rev. Lett. 94, 018302 (2005)CrossRefADSGoogle Scholar
  7. 7.
    R. Rizzieri, L. Mahadevan, A. Vaziri, A. Donald, Langmuir 22, 3622 (2006)CrossRefGoogle Scholar
  8. 8.
    F. Boulogne, F. Giorgiutti-Dauphin, L. Pauchard, Soft Matter 9, 750 (2013)CrossRefADSGoogle Scholar
  9. 9.
    F. Meng, M. Doi, Z. Ouyang, Phys. Rev. Lett. 113, 098301 (2014)CrossRefADSGoogle Scholar
  10. 10.
    C. Sadek, H. Tabuteau, P. Schuck, Y. Fallourd, N. Pradeau, C. Le Floch-Fouéré, R. Jeantet, Langmuir 29, 15606 (2013)CrossRefGoogle Scholar
  11. 11.
    R. Vehring, W.R. Foss, D. Lechuga-Ballesteros, J. Aerosol Sci. 38, 728 (2007)CrossRefGoogle Scholar
  12. 12.
    N. Reuge, B. Caussat, N. Joffin, J. Dexpert-ghys, M. Verelst, H. Dexpert, AIChE J. 54, 394 (2008)CrossRefGoogle Scholar
  13. 13.
    G.V. Jayanthi, S.C. Zhang, G.L. Messing, Aerosol Sci. Technol. 19, 478 (1993)CrossRefGoogle Scholar
  14. 14.
    R.W. Style, S.S.L. Peppin, Proc. R. Soc. A 467, 174 (2010)CrossRefADSMathSciNetGoogle Scholar
  15. 15.
    L. Rayleigh, Proc. Math. Soc. London 4, 357 (1873)Google Scholar
  16. 16.
    L. Onsager, Phys. Rev. 37, 405 (1931)CrossRefADSGoogle Scholar
  17. 17.
    L. Onsager, Phys. Rev. 38, 2265 (1931)CrossRefADSzbMATHGoogle Scholar
  18. 18.
    M. Doi, Non-Equilibrium Soft Matter Physics (World Scientific, Singapore, 2012) pp. 1--35Google Scholar
  19. 19.
    M. Doi, J. Phys.: Condens. Matter 23, 284118 (2011)MathSciNetGoogle Scholar
  20. 20.
    M. Doi, Soft Matter Physics (Oxford University, New York, 2013)Google Scholar
  21. 21.
    M. Doi, Chin. Phys. B 24, 020505 (2015)CrossRefADSGoogle Scholar
  22. 22.
    D.S. Bolintineanu, G.S. Grest, J.B. Lechman, F. Pierce, S.J. Plimpton, P.R. Schunk, Comput. Part. Mech. 1, 321 (2014)CrossRefGoogle Scholar
  23. 23.
    M. Laurati, G. Petekidis, N. Koumakis, F. Cardinaux, A.B. Schofield, J.M. Brader, M. Fuchs, S.U. Egelhaaf, J. Chem. Phys. 130, 1 (2009)CrossRefGoogle Scholar
  24. 24.
    M. Doi, J. Phys. Soc. Jpn. 78, 052001 (2009)CrossRefADSGoogle Scholar
  25. 25.
    T. Tanaka, D.J. Fillmore, J. Chem. Phys. 70, 1214 (1979)CrossRefADSGoogle Scholar
  26. 26.
    R. Vehring, Pharm. Res. 25, 999 (2008)CrossRefGoogle Scholar
  27. 27.
    K. Masters, Spray Drying-An Introduction to Principles, Operational Practice, and Applications (Leonard Hill Books, London, 1972)Google Scholar
  28. 28.
    D.E. Walton, Dev. Chem. Eng. Mineral Process 10, 323 (2002)CrossRefGoogle Scholar
  29. 29.
    G.W. Scherer, D.M. Smith, J. Non. Cryst. Solids 189, 197 (1995)CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Fanlong Meng
    • 1
    • 2
    • 3
    Email author
  • Ling Luo
    • 3
  • Masao Doi
    • 3
  • Zhongcan Ouyang
    • 1
    • 2
    • 4
  1. 1.State Key Laboratory of Theoretical PhysicsInstitute of Theoretical Physics, Chinese Academy of SciencesBeijingChina
  2. 2.Kavli Institute for Theoretical Physics ChinaBeijingChina
  3. 3.Center of Soft Matter Physics and its ApplicationsBeihang UniversityBeijingChina
  4. 4.Center for Advanced StudyTsinghua UniversityBeijingChina

Personalised recommendations