Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Final shape of a drying thin film

Tohru Okuzono, Masaru Kobayashi, and Masao Doi

  • Department of Applied Physics, The University of Tokyo, Tokyo 113-8656, Japan

Phys. Rev. E 80, 021603 – Published 12 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.021603

Abstract

Drying processes of polymer solutions on a solid substrate enclosed by bank are studied in the slow limit of the solvent evaporation. A simple model is proposed to examine the final shape of the film after drying. Analytical expressions of the final shape in terms of the initial parameters are obtained. It is shown that the craterlike and basinlike shapes appear as final shapes of the film depending on the initial parameters. The “shape diagrams” which show parameter dependence of the final shape are presented in the absence/presence of diffusion. The final shape of the film in the geometry without bank is also discussed.

Article Text

References (47)

  1. R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, Nature (London) 389, 827 (1997).
  2. R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, Phys. Rev. E 62, 756 (2000).
  3. Y. O. Popov and T. A. Witten, Eur. Phys. J. E 6, 211 (2001).
  4. Y. O. Popov and T. A. Witten, Phys. Rev. E 68, 036306 (2003).
  5. B. Rieger, L. R. van den Doel, and L. J. van Vliet, Phys. Rev. E 68, 036312 (2003).
  6. M. Tsige and G. S. Grest, Macromolecules 37, 4333 (2004).
  7. R. Zheng, Y. O. Popov, and T. A. Witten, Phys. Rev. E 72, 046303 (2005).
  8. G. Li, H.-J. Butt, and K. Graf, Langmuir 22, 11395 (2006).
  9. T. Kajiya, D. Kaneko, and M. Doi, Langmuir 24, 12369 (2008).
  10. C. Poulard, G. Guéna, A. M. Cazabat, A. Boudaoud, and M. Ben Amar, Langmuir 21, 8226 (2005).
  11. E. Rio, A. Daerr, F. Lequeux, and L. Limat, Langmuir 22, 3186 (2006).
  12. G. Berteloot, C.-T. Pham, A. Daerr, F. Lequeux, and L. Limat, Europhys. Lett. 83, 14003 (2008).
  13. C. Monteux, Y. Elmaallem, T. Narita, and F. Lequeux, Europhys. Lett. 83, 34005 (2008).
  14. S. Maheshwari, L. Zhang, Y. Zhu, and H.-C. Chang, Phys. Rev. Lett. 100, 044503 (2008).
  15. E. Adachi, A. S. Dimitrov, and K. Nagayama, Langmuir 11, 1057 (1995).
  16. R. D. Deegan, Phys. Rev. E 61, 475 (2000).
  17. Y. Yamazaki and T. Mizuguchi, J. Phys. Soc. Jpn. 69, 2387 (2000).
  18. E. Bormashenko, R. Pogreb, O. Stanevsky, Y. Bormashenko, T. Stein, V.-Z. Gaisin, R. Cohen, and O. V. Gendelman, Macromol. Mater. Eng. 290, 114 (2005).
  19. Y. Gotkis, I. Ivanov, N. Murisic, and L. Kondic, Phys. Rev. Lett. 97, 186101 (2006).
  20. M. H. Eres, D. E. Weidner, and L. W. Schwartz, Langmuir 15, 1859 (1999).
  21. P. G. de Gennes, Eur. Phys. J. E 6, 421 (2001).
  22. H. Hu and R. G. Larson, Langmuir 21, 3972 (2005).
  23. E. Sultan, A. Boudaoud, and M. B. Amar, J. Fluid Mech. 543, 183 (2005).
  24. C. Poulard and P. Damman, Europhys. Lett. 80, 64001 (2007).
  25. D. J. Harris and J. A. Lewis, Langmuir 24, 3681 (2008).
  26. P. G. de Gennes, Eur. Phys. J. E 7, 31 (2002).
  27. K. Ozawa, T. Okuzono, and M. Doi, Jpn. J. Appl. Phys., Part 1 45, 8817 (2006).
  28. T. Okuzono, K. Ozawa, and M. Doi, Phys. Rev. Lett. 97, 136103 (2006).
  29. T. Okuzono and M. Doi, Phys. Rev. E 77, 030501(R) (2008).
  30. L. Pauchard and C. Allain, Europhys. Lett. 62, 897 (2003).
  31. L. Pauchard and C. Allain, Phys. Rev. E 68, 052801 (2003).
  32. T. Kajiya, E. Nishitani, T. Yamaue, and M. Doi, Phys. Rev. E 73, 011601 (2006).
  33. D. A. Head, Phys. Rev. E 74, 021601 (2006).
  34. D. E. Bornside, C. W. Macosko, and L. E. Scriven, J. Appl. Phys. 66, 5185 (1989).
  35. A. F. Routh and W. B. Russel, AIChE J. 44, 2088 (1998).
  36. P. L. Evans, L. W. Schwartz, and R. V. Roy, J. Colloid Interface Sci. 227, 191 (2000).
  37. B.-J. de Gans and U. S. Schubert, Langmuir 20, 7789 (2004).
  38. D. Soltman and V. Subramanian, Langmuir 24, 2224 (2008).
  39. H. Hu and R. G. Larson, J. Phys. Chem. B 106, 1334 (2002).
  40. H. Hu and R. G. Larson, Langmuir 21, 3963 (2005).
  41. K. Ozawa, E. Nishitani, and M. Doi, Jpn. J. Appl. Phys., Part 1 44, 4229 (2005).
  42. J. Fukai, H. Ishizuka, Y. Sakai, M. Kaneda, M. Morita, and A. Takahara, Int. J. Heat Mass Transfer 49, 3561 (2006).
  43. Y. Jung, T. Kajiya, T. Yamaue, and M. Doi, Jpn. J. Appl. Phys. 48, 031502 (2009).
  44. R. Teshigawara and A. Onuki, Europhys. Lett. 84, 36003 (2008).
  45. A. Oron, S. H. Davis, and S. G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).
  46. M. Kobayashi, M. Makino, T. Okuzono, and M. Doi (unpublished).
  47. S. J. Farlow, Partial Differential Equations for Scientists and Engineers (Dover, New York, 1993).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation