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Axisymmetric instabilities in electrospinning of highly conducting, viscoelastic polymer solutions
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Image of FIG. 1.
FIG. 1.

Results from asymptotic analysis approach. The “simulated profile” lines are the radius predictions given using different fits of the initial radius profile development. It is seen that the initial radius fits (which are supplied arbitrarily) greatly influence the results obtained. For this reason, this approach is not used in the subsequent analysis.

Image of FIG. 2.
FIG. 2.

Electrospinning setup.

Image of FIG. 3.
FIG. 3.

Jet profiles of PEO jets. Left to right: PEO WSR-301, initial jet development; PEO WSR-301 jet 10–12 cm from spinneret; PEO-2M initial jet; PEO-2M jet 10–12 cm from spinneret, showing the appearance of axisymmetric instability.

Image of FIG. 4.
FIG. 4.

Extracted experimental radius profiles for PEO WSR-301 (top) and PEO-2M (bottom) and accompanying trendline fits (spinning conditions as in Table IV).

Image of FIG. 5.
FIG. 5.

Stable jet axial stress and radial stress and profiles for PEO WSR-301 and PEO-2M.

Image of FIG. 6.
FIG. 6.

Stable jet surface charge density profiles for PEO-2M and PEO WSR-301. Note that the charge densities obtained for are unphysical because the underlying assumption that (far from the spinneret) breaks down.

Image of FIG. 7.
FIG. 7.

Stability analysis results: top: PEO WSR-301; bottom: PEO-2M. The growth rate and wave number obtained from the high speed images during electrospinning are shown for comparison.

Image of FIG. 8.
FIG. 8.

Stability analysis results for various values along the jets.

Image of FIG. 9.
FIG. 9.

Energy analysis results for low conductivity PIB Boger fluid (Ref. 2). It is seen that the instability is driven solely by surface tension (the net growth of the instability is represented by ). The viscous, non-Newtonian viscous and electric field terms are stabilizing.

Image of FIG. 10.
FIG. 10.

Energy analysis results for PEO WSR-301 fluid. In contrast to the PIB Boger fluid case, the term driving the axisymmetric instability is principally the electric field (charge interaction) term.

Image of FIG. 11.
FIG. 11.

Energy analysis results for PEO-2M fluid.

Image of FIG. 12.
FIG. 12.

Comparison of various modes for PEO WSR-301 and PEO-2M.

Image of FIG. 13.
FIG. 13.

Influence of the Deborah number on the instability growth rate.

Image of FIG. 14.
FIG. 14.

Influence of polymeric viscosity on the instability growth rate.


Generic image for table
Table I.

Characteristic scales and dimensionless groups used in the nondimensionalization of the jet governing equations. Further details can be found elsewhere (Ref. 2).

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Table II.

Explanation of nomenclature used in Eq. (7).

Generic image for table
Table III.

Physical properties of PEO/water fluids.

Generic image for table
Table IV.

Dimensionless group values.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Axisymmetric instabilities in electrospinning of highly conducting, viscoelastic polymer solutions