Break-Up of a Liquid Jet: Second Perturbation Solution for One-Dimensional Cosserat Theory

1979 ◽  
Vol 23 (1) ◽  
pp. 87-92 ◽  
Author(s):  
D. B. Bogy
Keyword(s):  
Perturbation Solution ◽  
Liquid Jet ◽  
Cosserat Theory ◽  
One Dimensional ◽  
Break Up

scholarly journals Stabilizing a homoclinic stripe

2018 ◽  
Vol 376 (2135) ◽  
pp. 20180110 ◽  
Author(s):  
Theodore Kolokolnikov ◽  
Michael Ward ◽  
Justin Tzou ◽  
Juncheng Wei
Keyword(s):  
Reaction Diffusion ◽  
Dissipative Structures ◽  
Vegetation Patterns ◽  
Theme Issue ◽  
One Dimensional ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Schnakenberg Model ◽  
Break Up ◽  
Variable Substrate

For a large class of reaction–diffusion systems with large diffusivity ratio, it is well known that a two-dimensional stripe (whose cross-section is a one-dimensional homoclinic spike) is unstable and breaks up into spots. Here, we study two effects that can stabilize such a homoclinic stripe. First, we consider the addition of anisotropy to the model. For the Schnakenberg model, we show that (an infinite) stripe can be stabilized if the fast-diffusing variable (substrate) is sufficiently anisotropic. Two types of instability thresholds are derived: zigzag (or bending) and break-up instabilities. The instability boundaries subdivide parameter space into three distinct zones: stable stripe, unstable stripe due to bending and unstable due to break-up instability. Numerical experiments indicate that the break-up instability is supercritical leading to a ‘spotted-stripe’ solution. Finally, we perform a similar analysis for the Klausmeier model of vegetation patterns on a steep hill, and examine transition from spots to stripes. This article is part of the theme issue ‘Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 2)’.

scholarly journals Wave packet analysis and break-up length calculations for an accelerating planar liquid jet

2012 ◽  
Vol 44 (1) ◽  
pp. 015503 ◽  
Author(s):  
M R Turner ◽  
J J Healey ◽  
S S Sazhin ◽  
R Piazzesi
Keyword(s):  
Wave Packet ◽  
Liquid Jet ◽  
Break Up

Bending and break-up of a liquid jet in a high pressure airflow

2003 ◽  
Vol 27 (4) ◽  
pp. 449-454 ◽  
Author(s):  
A. Cavaliere ◽  
R. Ragucci ◽  
C. Noviello
Keyword(s):  
High Pressure ◽  
Liquid Jet ◽  
Break Up

Note on the break-up of a charged liquid jet

1962 ◽  
Vol 13 (1) ◽  
pp. 151-157 ◽  
Author(s):  
R. H. Magarvey ◽  
L. E. Outhouse
Keyword(s):  
Size Distribution ◽  
Drop Size ◽  
Drop Size Distribution ◽  
Point Of View ◽  
Liquid Jet ◽  
Disintegration Process ◽  
Photographic Evidence ◽  
Break Up

The disintegration of a charged liquid jet is examined, and the break-up mechanism inferred from photographic evidence. Gravitational, molecular and electrical forces all contribute to the segmentation of the jet and determine the drop size distribution. The disintegration process is investigated from the point of view of drop generation. The segmentation of the charged jet differs from the known ways in which an uncharged jet is broken into drops.

A perturbation solution to the full Poisson–Nernst–Planck equations yields an asymmetric rectified electric field

Soft Matter ◽  
2020 ◽  
Vol 16 (30) ◽  
pp. 7052-7062
Author(s):  
S. M. H. Hashemi Amrei ◽  
Gregory H. Miller ◽  
Kyle J. M. Bishop ◽  
William D. Ristenpart
Keyword(s):  
Electric Field ◽  
Perturbation Solution ◽  
One Dimensional ◽  
Ionic Mobilities ◽  
The One

We derive a perturbation solution to the one-dimensional Poisson–Nernst–Planck (PNP) equations between parallel electrodes under oscillatory polarization for arbitrary ionic mobilities and valences.

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