Geodesic
Modeling of polymer fiber evaporation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 109-112.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ISU_2011_11_2_a14,
     author = {Yu. E. Salkovskiy},
     title = {Modeling of polymer fiber evaporation},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {109--112},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a14/}
}
TY  - JOUR
AU  - Yu. E. Salkovskiy
TI  - Modeling of polymer fiber evaporation
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2011
SP  - 109
EP  - 112
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a14/
LA  - ru
ID  - ISU_2011_11_2_a14
ER  - 
%0 Journal Article
%A Yu. E. Salkovskiy
%T Modeling of polymer fiber evaporation
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2011
%P 109-112
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a14/
%G ru
%F ISU_2011_11_2_a14
Yu. E. Salkovskiy. Modeling of polymer fiber evaporation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 2, pp. 109-112. http://geodesic.mathdoc.fr/item/ISU_2011_11_2_a14/

[1] Dzenis Y. A., “Spinning Continuous Fibers for Nanotechnology”, Science, 304 (2004), 1917–1919 | DOI

[2] Reneker D. H., Chun I., “Nanometre diameter fibres of polymer, produced by electrospinning”, Nanotechnology, 7 (1996), 216–223 | DOI

[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, 63 (2003), 2223–2253 | DOI

[4] Hohman M. M., Shin M., Rutledge G., Brenner M.P., “Electrospinning and electrically forced jets. II. Applications”, Science, 13:8 (2001), 2221–2236 | MR

[5] Spivak A. F., Dzenis Y. A., Reneker D. H., “A model of steady state jet in the electrospinning process”, Mechanics Research Communications, 27 (2000), 37–42 | DOI | Zbl

[6] Feng J. J., “Stretching of a straight electrically charged viscoelastic jet”, J. of Non-Newtonian Fluid Mechanics, 116 (2003), 55–70 | DOI | Zbl

[7] Yarin A. L., Koombhongse S., Reneker D. H., “Bending instability in electrospinning of nanofibers”, J. of Applied Physics, 89 (2001), 3018–3026 | DOI

[8] Alsoy S., Duda J. L., “Modeling of Multicomponent Drying of Polymer Films”, AIChE Journal, 45 (1999), 896–905 | DOI

[9] Alsoy S., Duda J. L., “Modeling of Multilayer Drying of Polymer Films”, J. of Polymer Science B Polymer Physics, 37 (1999), 1665–1675 | 3.0.CO;2-P class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[10] Vrentas J. S., Vrentas C. M., “Surface Concentration Effects in the Drying of Solvent-Coated Polymer Films”, J. of Applied Polymer Science, 60 (1996), 1049–1055 | 3.0.CO;2-W class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI

[11] Vrentas J. S., Duda J. L., “Diffusion in Polymer Solvent Systems. I. Re-Examination of the Free Volume Theory”, J. of Polymer Science, 15 (1977), 403

[12] Flory P. J., Principles of Polymer Chemistry, Cornell Univ. Press, Ithaca, N.Y., 1953