Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Salkovskiy Y. E. Modeling of Polymer Fiber Evaporation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, vol. 11, iss. 2, pp. 109-112. DOI: 10.18500/1816-9791-2011-11-2-109-112

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.04.2011
Full text:
download
(downloads: 197)
Language: 
Russian
Heading: 
Mechanics
UDC: 
66.074.3
DOI: 
10.18500/1816-9791-2011-11-2-109-112

Modeling of Polymer Fiber Evaporation

Autors: 
Salkovskiy Yu. E., Saratov State University
Abstract: 

Solvent evaporation process from the surface of two-phase polymer solution axisymmetric fiber is analyzed. Fick’s law of mass diffusion was employed under the condition that the solvent diffusion depends upon the solvent concentration according to the Vrentas – Duda free-volume theory. Numerical results are provided for the PAN/DMF fibers of different initial radii that are close to jet radii in electrospinning experiments. Significant non-uniformity of the solvent concentration distribution over the fiber cross-section was observed, that leads to the high inhomogeneity of physical properties inside the fiber. The given model can be used as a basis for more accurate modeling of electrospinning of nanofibers.

Key words: 
electrospinning
evaporation diffusion
mass transfer
References: 
  1. Dzenis Y.A. Spinning Continuous Fibers for Nanotechnology // Science. 2004. Т. 304. С. 1917–1919.
  2. Reneker D.H., Chun I. Nanometre diameter fibres of polymer, produced by electrospinning // Nanotechnology. 1996. Т. 7. С. 216–223.
  3. Huang Z.-M., Zhang Y.-Z., Kotaki M., Ramakrishna S. A review on polymer nanofibers by electrospinning and their applications in nanocomposites // Composites Science and Technology. 2003. Т. 63. С. 2223–2253.
  4. Hohman M.M., Shin M., Rutledge G., Brenner M.P. Electrospinning and electrically forced jets. II. Applications // Science. 2001. Т. 13, No 8. С. 2221–2236.
  5. Spivak A.F., Dzenis Y.A., Reneker D.H. A model of steady state jet in the electrospinning process // Mechanics Research Communications. 2000. Т. 27. С. 37–42.
  6. Feng J.J. Stretching of a straight electrically charged viscoelastic jet // J. of Non-Newtonian Fluid Mechanics. 2003. Т. 116. С. 55–70.
  7. Yarin A.L., Koombhongse S., Reneker D.H. Bending instability in electrospinning of nanofibers // J. of Applied Physics. 2001. Т. 89. С. 3018–3026.
  8. Alsoy S., Duda J.L. Modeling of Multicomponent Drying of Polymer Films // AIChE Journal. 1999. Т. 45. С. 896–905.
  9. Alsoy S., Duda J.L. Modeling of Multilayer Drying of Polymer Films // J. of Polymer Science B: Polymer Physics. 1999. Т. 37. С. 1665–1675.
  10. Vrentas J.S., Vrentas C.M. Surface Concentration Effects in the Drying of Solvent-Coated Polymer Films // J. of Applied Polymer Science. 1996. Т. 60. С. 1049– 1055.
  11. Vrentas J.S., Duda J.L. Diffusion in Polymer Solvent Systems: I. Re-Examination of the Free Volume Theory // J. of Polymer Science. 1977. Т. 15. С. 403.
  12. Flory P.J. Principles of Polymer Chemistry. Ithaca, N.Y.: Cornell Univ. Press, 1953.
  • 715 reads