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

Research output: Contribution to journal › Article › peer-review

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
Article number	hxac008
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

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title = "Temporal instability of curved viscous fibers with a radial electric field",

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",

author = "Alsharif, {Abdullah M.} and P{\u a}r{\u a}u, {Emilian I.}",

note = "Acknowledgments: Abdullah Alsharif would like to thank Taif University researchers supporting project number (TURSP-2020/96), Taif University, Taif, Saudi Arabia. The authors also thank Prof Mark Blyth (UEA) for some useful discussions about electric fields",

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AU - Părău, Emilian I.

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PY - 2022/6

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

SN - 0272-4960

IS - 3

M1 - hxac008

ER -

Temporal instability of curved viscous fibers with a radial electric field

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Keywords

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