On The Instability Of Jets

Rayleigh, Lord

doi:10.1112/plms/s1-10.1.4

Cited by 2,517 publications

(1,193 citation statements)

References 0 publications

Supporting

Mentioning

1,136

Contrasting

Unclassified

Order By: Relevance

“…This fits with the results of Wallwork et al 2 when the most unstable wavenumber occurs for K = 0.697, which is also the case of a straight jet. 27 We should note that the growth of unstable modes is just the same as the temporal growth, for large Weber number. 2,33 It is worth noting that the figure has a horizontal exaggeration, which may distort the images of the jet shapes.…”

Section: Numerical Resultsmentioning

confidence: 99%

Nonlinear travelling waves on a spiralling liquid jet

et al. 2006

View full text Add to dashboard Cite

We describe the nonlinear evolution of a travelling wave disturbance on a spiralling slender inviscid jet which emerges from a rotating orifice neglecting gravity. One-dimensional equations are derived using asymptotic methods and solved numerically. Some results are presented for this nonlinear theory which is rather different from previous linear theories, showing the influence of surface tension and rotation on the breakup of the jets into droplets. Comparison with the experimental results shows good qualitative agreement.

show abstract

Section: Numerical Resultsmentioning

confidence: 99%

Nonlinear travelling waves on a spiralling liquid jet

et al. 2006

View full text Add to dashboard Cite

show abstract

“…Original work of cylinder instability dated back to Rayleigh's work in 1878 [65]. Using perturbation analysis,he derived the a critical wavelength scale (Acrit), above which instability develops resulting in the amplification of initial small amplitude.…”

Section: Rayleigh Linear Theorymentioning

confidence: 99%

In-Fiber Semiconductor Filament Arrays

et al. 2008

View full text Add to dashboard Cite

One-dimensional nanostructures with high aspect-ratios and nanometer cross-sectional dimensions have been the focus of recent studies in the persistent drive to miniaturize devices. Conventional bottom-up methods such as vapor-liquid-solid growth have been widely applied for the fabrication of uniform and high quality nanowires. Two challenges toward nanoelectronics and other applications remain: on the singlenanowire level, precisely manipulating an individual nanowire for the sophisticated functionalities, and on the multiple-nanowire level, integrating nanowires into designed architecture at large scale. Thus, an alternative approach with the capacity to achieve ordered and extended nanowires is highly desirable.In this thesis, we observe an intriguing phenomenon that a cylindrical shell upon reaching a characteristic thickness breaks up into filament arrays during optical-fiber thermal drawing. This structural evolution occurs exclusively in the cross-sectional plane, while the uniformity along the axial direction remains intact. We demonstrate crystalline semiconductor nanowires by post-drawing annealing procedure and characterize their electrical and optoelectric properties for the devices such as optical switch. This top-down thermal drawing approach provides new opportunities for nanostructure fabrication with high throughput and at low cost, and offers promising applications in renewable energy and data storage.In order to understand the stability (or instability) of thin shells and filaments, we explore a physical mechanism during the complicated thermal drawing. A perspective of capillary instability from fluid mechanics is focused. Axial stability of continuous filaments is consistent with capillary instability. Axial stability of a thicker cylindrical shell arises from large radius and high viscosity. These results provide theoretical guidance in the understanding of attainable feature sizes and in materials selection to expand the potential functionalities of devices in microstructured fibers.

show abstract

“…As early as in 1878, Rayleigh [7] treated the instability of a long, thin, liquid cylinder and this work was extended by Tomotika [8] in 1935. Consider a long liquid cylinder with radius R 0 and viscosity Á 1 surrounded by another liquid with viscosity Á 2 .…”

Section: The Instability Of a Liquid Cylindermentioning

confidence: 99%