Temporal instability of curved viscous fibers with a radial electric field

Abdullah M. Alsharif; Emilian I. Părău

doi:10.1093/imamat/hxac008

Temporal instability of curved viscous fibers with a radial electric field

Abdullah M. Alsharif (Lead Author), Emilian I. Părău

Fluids & Structures

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Abstract

One-dimensional equations are derived for a rotating viscous slender liquid jet in a radial electric field using asymptotic methods. The trajectory of the curved Newtonian liquid jets is found by solving the nonlinear one-dimensional equations. The temporal instability of the steady solutions is analysed. It was found that the electric force enhances the growth rate and increases its corresponding maximum wavenumber.

Original language	English
Pages (from-to)	380–406
Number of pages	27
Journal	IMA Journal of Applied Mathematics
Volume	87
Issue number	3
Early online date	10 May 2022
DOIs	https://doi.org/10.1093/imamat/hxac008
Publication status	Published - Jun 2022

Keywords

electric field
linear instability
liquid jets

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10.1093/imamat/hxac008

IMA_revision2Accepted author manuscript, 433 KB

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abstract = "One-dimensional equations are derived for a rotating viscous slender liquid jet in a radial electric field using asymptotic methods. The trajectory of the curved Newtonian liquid jets is found by solving the nonlinear one-dimensional equations. The temporal instability of the steady solutions is analysed. It was found that the electric force enhances the growth rate and increases its corresponding maximum wavenumber.",

keywords = "electric field, linear instability, liquid jets",

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Y1 - 2022/6

N2 - One-dimensional equations are derived for a rotating viscous slender liquid jet in a radial electric field using asymptotic methods. The trajectory of the curved Newtonian liquid jets is found by solving the nonlinear one-dimensional equations. The temporal instability of the steady solutions is analysed. It was found that the electric force enhances the growth rate and increases its corresponding maximum wavenumber.

AB - One-dimensional equations are derived for a rotating viscous slender liquid jet in a radial electric field using asymptotic methods. The trajectory of the curved Newtonian liquid jets is found by solving the nonlinear one-dimensional equations. The temporal instability of the steady solutions is analysed. It was found that the electric force enhances the growth rate and increases its corresponding maximum wavenumber.

KW - electric field

KW - linear instability

KW - liquid jets

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U2 - 10.1093/imamat/hxac008

DO - 10.1093/imamat/hxac008

M3 - Article

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SP - 380

EP - 406

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

IS - 3

ER -

Temporal instability of curved viscous fibers with a radial electric field

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Keywords

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