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 solutio...

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Bibliographic Details
Published inIMA journal of applied mathematics Vol. 87; no. 3; pp. 380 - 406
Main Authors Alsharif, Abdullah M, Părău, Emilian I
Format Journal Article
LanguageEnglish
Published Oxford University Press 02.08.2022
Subjects
linear instability
electric field
liquid jets
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Summary: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.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxac008