2011
DOI: 10.1063/1.3626550
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Capillary instability of elliptic liquid jets

Abstract: Instability of a liquid jet issuing from an elliptic nozzle in Rayleigh mode is investigated and its behavior is compared with a circular jet. Mathematical solution of viscous free-surface flow for asymmetric geometry is complicated if 3-D analytical solutions are to be obtained. Hence, one-dimensional Cosserat (directed curve) equations are used which can be assumed as a low order form of Navier-Stokes equations for slender jets. Linear solution is performed using perturbation method. Temporal dispersion equa… Show more

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Cited by 48 publications
(12 citation statements)
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“…It is proved that the dynamic surface tension is more appropriate than the static surface tension to study the spray characteristics of surfactant solutions and suspensions [136]. Measurements of oscillating free jets, where a fluid comes out of an elliptical nozzle, together with an analytical model have long been used to determine the dynamic surface tension [137][138][139][140][141][142][143][144][145]. Noticeably, the value of the surface tension of pure fluid can only be applied for a dilute suspension with a low concentration of surfactant.…”
Section: Suspension Propertiesmentioning
confidence: 99%
“…It is proved that the dynamic surface tension is more appropriate than the static surface tension to study the spray characteristics of surfactant solutions and suspensions [136]. Measurements of oscillating free jets, where a fluid comes out of an elliptical nozzle, together with an analytical model have long been used to determine the dynamic surface tension [137][138][139][140][141][142][143][144][145]. Noticeably, the value of the surface tension of pure fluid can only be applied for a dilute suspension with a low concentration of surfactant.…”
Section: Suspension Propertiesmentioning
confidence: 99%
“…The current study is limited to the modes with the lowest transverse order m = 0, because only this mode dominates the unstable fluid flow and the higher order eigenmodes are more oscillatory and are not frequently encountered at low to medium jet speeds. [6][7][8] By enforcing periodicity of the solution, Eq. (20) can be written as…”
Section: Local Linear Stability Analysismentioning
confidence: 99%
“…The reason can be attributed to the enhanced instability of elliptical jets. Amini and Dolatabadi [22] studied the capillary instability of an elliptical liquid jet. They stated that the elliptic jet is more unstable in comparison with a circular jet.…”
Section: A Spray Featuresmentioning
confidence: 99%