### Abstract

Motion of a weakly conductive viscous jet accelerated by an external electric field is considered. Nonlinear rheological constitutive equation applicable for polymer fluids (Oswald-deWaele law) is applied. A differential equation for the variation of jet radius with axial coordinate is derived. Asymptotic variation of the jet radius at large distances from the jet origin is analyzed. It is found that the well-known power-law asymptote for Newtonian fluids with the exponent 1/4 holds for more general class of fluids, i.e., pseudoplastic (shear thinning) and dilatant (shear thickening) fluids with the flow index between 0 and 2. Dilatant fluids with the flow index greater than 2 exhibit power-law asymptotes with the exponents depending on the flow index. Results can be applied for the analysis of viscous polymer jets in the electrospinning process.

Original language | English (US) |
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Pages (from-to) | 3067-3069 |

Number of pages | 3 |

Journal | Applied Physics Letters |

Volume | 73 |

Issue number | 21 |

DOIs | |

State | Published - Dec 1 1998 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Applied Physics Letters*,

*73*(21), 3067-3069. https://doi.org/10.1063/1.122674

**Asymptotic decay of radius of a weakly conductive viscous jet in an external electric field.** / Spivak, A. F.; Dzenis, Y. A.

Research output: Contribution to journal › Article

*Applied Physics Letters*, vol. 73, no. 21, pp. 3067-3069. https://doi.org/10.1063/1.122674

}

TY - JOUR

T1 - Asymptotic decay of radius of a weakly conductive viscous jet in an external electric field

AU - Spivak, A. F.

AU - Dzenis, Y. A.

PY - 1998/12/1

Y1 - 1998/12/1

N2 - Motion of a weakly conductive viscous jet accelerated by an external electric field is considered. Nonlinear rheological constitutive equation applicable for polymer fluids (Oswald-deWaele law) is applied. A differential equation for the variation of jet radius with axial coordinate is derived. Asymptotic variation of the jet radius at large distances from the jet origin is analyzed. It is found that the well-known power-law asymptote for Newtonian fluids with the exponent 1/4 holds for more general class of fluids, i.e., pseudoplastic (shear thinning) and dilatant (shear thickening) fluids with the flow index between 0 and 2. Dilatant fluids with the flow index greater than 2 exhibit power-law asymptotes with the exponents depending on the flow index. Results can be applied for the analysis of viscous polymer jets in the electrospinning process.

AB - Motion of a weakly conductive viscous jet accelerated by an external electric field is considered. Nonlinear rheological constitutive equation applicable for polymer fluids (Oswald-deWaele law) is applied. A differential equation for the variation of jet radius with axial coordinate is derived. Asymptotic variation of the jet radius at large distances from the jet origin is analyzed. It is found that the well-known power-law asymptote for Newtonian fluids with the exponent 1/4 holds for more general class of fluids, i.e., pseudoplastic (shear thinning) and dilatant (shear thickening) fluids with the flow index between 0 and 2. Dilatant fluids with the flow index greater than 2 exhibit power-law asymptotes with the exponents depending on the flow index. Results can be applied for the analysis of viscous polymer jets in the electrospinning process.

UR - http://www.scopus.com/inward/record.url?scp=0001174594&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001174594&partnerID=8YFLogxK

U2 - 10.1063/1.122674

DO - 10.1063/1.122674

M3 - Article

AN - SCOPUS:0001174594

VL - 73

SP - 3067

EP - 3069

JO - Applied Physics Letters

JF - Applied Physics Letters

SN - 0003-6951

IS - 21

ER -