3 edition of **The effect of anisotropic surface energy on the Rayleigh instability** found in the catalog.

The effect of anisotropic surface energy on the Rayleigh instability

- 339 Want to read
- 21 Currently reading

Published
**2002** by U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology in [Gaithersburg, Md.] .

Written in English

- Anisotropy,
- Capillarity,
- Magnetohydrodynamic instabilities,
- Fluid dynamics

**Edition Notes**

Statement | K.F. Gurski, G.B. McFadden |

Series | NISTIR -- 6892 |

Contributions | McFadden, Geoffrey B, National Institute of Standards and Technology (U.S.) |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 27 p. |

Number of Pages | 27 |

ID Numbers | |

Open Library | OL15386408M |

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anisotropic surface energy, Cahn-Hoffman Xi-vector, nanorods, quantum wires, Rayleigh instability Created October 1,Updated Febru HEADQUARTERSCited by: To address the effects of surface-tension anisotropy on the Rayleigh instability, we compute the second variation of the surface free energy of an isolated wire or rod whose cross-section is smooth and given by the associated two-dimensional equilib.

The effect of anisotropic surface energy on the Rayleigh instability K. Gurski National Institute The effect of anisotropic surface energy on the Rayleigh instability book Standards and Technology, Gaithersburg, MDUSACited by: A liquid thread of radius R will break up into drops if the axial wavelength of the surface perturbation L > 2πR.

If L Rayleigh’s stability criterion based on a continuum model. We use molecular dynamics to simulate the evolution of Lennard-Jones liquid threads with equilibrium radius R =where R has been non Author: Ping Du. The classical Rayleigh instability describes the break-up of an cylindrical rod with isotropic (orientation-independent) surface energy due to capillary effects: axisymmetric sinusoidal perturbations lower the surface energy if the wavelength of the perturbation exceeds the circumference, causing the rod to bead up rather than persist as a rod.

For crystalline materials the surface energy is. The Effect of Anisotropic Surface Energy on the Stability of Micro and Nano Wires Ping Du Louisiana State University and Agricultural and Mechanical College, Solid wires are also subject to Rayleigh‟s instability.

Capillarity-driven morphological instabilities and evolution of solid nanowires [] are important in many branches of. As was discussed above, Cahn was the first to develop a model that accounted for the effects of surface energy anisotropy on the Rayleigh instability of wires. He treated the simple case in which the surface energy was radially isotropic for rotations about the wire axis, but varied with the orientation of the surface normal relative to the.

THE EFFECT OF CONTACT LINES ON THE RAYLEIGH INSTABILITY WITH ANISOTROPIC SURFACE ENERGY* K. GURSKIt, G. MCFADDENt, AND M. MIKSIS. Abstract. We determine the linear stability of a rod or wire on a substrate subject to capillary forces arising from an anisotropic surface energy for a range of contact angles between -7/2 and 7r/2.

This process is similar to Rayleigh instability of nanowires with anisotropic surface energy. [36] In adition, the Nernst potential may further accelerate the dissolution of the filament. We examine the effect of surface perturbations on the total energy.

The stability of the equilibrium interface is reduced to determining the eigenvalues of a coupled system of ordinary differential equations.

This system is solved both asymptotically and numerically for several types of anisotropic surface energies. A series of anneals at °C caused the breakup of these channels into discrete pores via Rayleigh instabilities.

In all cases, channels broke up with a characteristic wavelength larger than that expected for a material with isotropic surface energy, reflecting stabilization effects due to surface-energy anisotropy. The effect of contact lines on the Rayleigh instability with anisotropic surface energy K.

Gurski *, G. McFadden, M. Miksis * Corresponding author for this work. Introduction to the Rayleigh instability ; Anisotropic surface energy ; 2-D equilibrium shapes ; Rayleigh instability for anisotropic surface energy ; Conclusions and future work; Thanks to S.H.

Davis. NASA Microgravity, NSF NIRT (NWU) 2 Rayleigh Instability 3 Inkjet Printing From Pimbley et al. Breakup of a liquid jet into drops. for Cr ﬁlaments [7,8]. As the surface energy of the crystalline solids is generally anisotropic, varying with crystallographic orientation,analysesin[3,9,10]suggestasubstantialinﬂuence of the anisotropy on the Rayleigh instability.

Cahn was the ﬁrst to improve the model by taking into account the variation of surface energy with. Recently, Gurski and McFadden investigated theoretically the role of anisotropic surface energy on the Rayleigh instability in nanowires and found that the anisotropy can either promote or suppress.

Get this from a library. The effect of anisotropic surface energy on the Rayleigh instability. [K F Gurski; Geoffrey B McFadden; National Institute of Standards and Technology (U.S.)].

The Effect of Surface Tension Anisotropy on the Rayleigh Instability in Materials Systems Author: G.B. McFadden and K.F. Gurski Last modified by: User Created Date: 2/13/ PM Document presentation format: On-screen Show Company: NIST Other titles.

@article{osti_, title = {Surface Energy Anisotropy Effects on Pore-Channel Stability:Rayleigh Instabilities in m-Plane Sapphire}, author = {Santala, Melissa K and Glaeser, Andreas M}, abstractNote = {Internal, high-aspect-ratio pore channels with their long axes parallel to the m(10{bar 1}0) plane of sapphire were generated through sequential application of photolithography, ion-beam.

As the surface energy of the crystalline solids is generally anisotropic, varying with crystallographic orientation, analyses in [3, 9, 10] suggest a substantial influence of the anisotropy on the Rayleigh instability.

Cahn was the first to improve the model by taking into account the variation of surface energy with orientation. How such anisotropy affects the critical Rayleigh number for the onset of convective motion in a porous layer with thermal and solutal effects is analyzed quantitatively.

The mathematical analyses employed involve both linear instability techniques and the energy method for nonlinear stability. We next study the effect of strong surface energy anisotropy on the migrating grooves.

A newly developed delta-function facet model is used to prescribe the surface energy. We find that most bicrystals show faceted grooves. However, a few anisotropic bicrystals can form smooth grooves. A series of anneals at C caused the breakup of these channels into discrete pores via Rayleigh instabilities.

In all cases, channels broke up with a characteristic wavelength larger than that expected for a material with isotropic surface energy, reflecting stabilization effects due to surface-energy.

The anisotropic surface free energy and the surface stiffness were treated with well accepted trigonometric functions. Although, various tilt angles and anisotropy constants were considered during simulations, the main emphasis was given on the effect of rotational symmetries associated with the surface Helmholtz free energy topography in 2D space.

The Effect of Contact Lines on the Rayleigh Instability with Anisotropic Surface Energy, (with: G.B. McFadden), in preparation. Slow Damping of Internal Waves in Stably Stratified Fluid, (with R. Kollar and R. Pego), in preparation.

The Effect of Anisotropic Surface Energy on the Rayleigh Instability, (with G.B. McFadden), submitted. Anisotropic surface energy formulations and their effect on stability of a growing thin ﬁlm MACIEK D.

KORZEC Department of Mathematics, Technische Universitat Berlin, Straße des JuniBerlin,¨ Germany E-mail: [email protected] ANDREAS MUNCH¨ Mathematical Institute, University of Oxford, 24–29St Giles’, Oxford, OX1.

Micro- and nanowires are commonly used in biological sciences, micro- and nanoelectronics, and optoelectronics, and their morphological stability needs to be understood and controlled.

Previous linear-stability analyses of infinitely-long circular wires have shown that the critical wavelength for instability approaches infinity if the wire surface is facetted. We also extract an activation energy for the edge dewetting front propagation velocity of +eV, in reasonable agreement with reported values for Si surface diffusion on () planes.

Furthermore, we present for the first time an anisotropic model for void finger propagation that is able to accurately explain the detailed anisotropic.

The other using electrolyte covered by organic solvents clearly demonstrates the existence of anisotropic waves, giving qualitative agreement with the theoretical predictions. As background to the theoretical study of the gh-Tayl,or instability, the influence of j x B forces on free surface shapes is examined.

isotropic surface energy of the initial solid cylinder. This assumption is violated in many cases, concerning the effect of anisotropic surface energy. [14] The Ra yleigh instability is commonly observed in metal nanowires.

For example, Toimil-Molares et al. reported the Rayleigh instability in copper nanowires annealed. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Metallic nanowires are regarded as a key component of future nanoscale devices.

Strength of nanowires against surface tension effects or the so-called Rayleigh instability is crucial for the reliability of nanowire-based components. This instability stimulates a nanowire to break up into a linear row of nanospheres [1.

K.F. Gurski and G.B. McFadden, The effect of anisotropic surface energy on the Rayleigh Instability. Proc. Soc. Lond. A,We did. much of this in class.

The rest of the manuscript needs to be presented and in the Rayleigh instability with anisotropic surface energy. SIAM J. Applied Math. 66(4),Author(s): Santala, Melissa K.; Glaeser, Andreas M. Surface Energy Anisotropy Effects on Pore-Channel Stability: Rayleigh Instabilities in m-Plane Sapphire.

The Rayleigh-Taylor instability in stratified plasma has been investigated in the presence of combined effect of horizontal and vertical magnetic field. The linear growth rate has been derived for the case where plasma with exponential density distribution is confined between two rigid planes by solving the linear MHD equations into normal by: 1.

The mechanisms underlying the pattern formation are explained in terms of the influence on Rayleigh-like instability of the patch geometry and the surface energy anisotropy of the film material.

This mechanistic understanding of pattern formation can be used to design patches for the precise fabrication of micro- and nanoscale structures with.

J.S Stölken, A.M Glaeser, The morphological evolution of cylindrical rods with anisotropic surface free energy via surface diffusion, Scripta Metallurgica et Materialia, /X(92)W, 27, 4, (), ().

The combined effects of anisotropic thermal transport and trapped energetic particles (EPs) on the stability of the resistive plasma resistive wall mode (RPRWM) are investigated by an energy-princi. for anisotropic surface Polycrystalline gold films (untemplated) • Surface energy anisotropy has a relatively minor effect on the anisotropy of the edge retraction rate Rayleigh Instability of Thin Film Wires G.H.

Kim and C.V. Thompson, Acta Mat., in press. ``The Effect of Contact Lines on the Rayleigh Instability with Anisotropic Surface Energy'', (with K.F.

Gurski and G.B. McFadden), SIAM J. Applied Math. 66(4),``Equilibrium Shapes of Strained Islands with Finite Contact Angle'', (with O. Shklyaev and P.W.

Voorhees), J. Mech. Phys. SolThe onset of thermomagnetic convection in an anisotropic layer of Darcy porous medium in the presence of a uniform vertical magnetic field is investigated using a local thermal nonequilibrium (LTNE) model for energy equation representing the solid and fluid phases separately.

Anisotropies in permeability as well as in fluid and solid thermal conductivities are considered. The influence of vibration parameters and heating condition on the anisotropy effects and the competition between the synchronous and subharmonic modes are discussed.

This study also reveals the existence of a closed disconnected instability region in certain areas of. In electrostatic atomization, the input electrical energy causes breaking up of the droplet surface by utilizing a mutual repulsion of net charges accumulating on that surface.

In this work a number of key parameters controlling the bio-oil droplet breakup process are identified and these correlations among the droplet size distribution, specific charges of droplets and externally applied.The Double-Bubble Instability Conditions for the Double-bubble Instability Plateau-Rayleigh Instability Plateau-Rayleigh Instability in Corners and Grooves Instability of a Cylinder on a Hydrophilic Strip Double-bubble Instability in Bulging Liquid Bridge Lower-pressure Comparison Theorem Conclusion 2.Solid films are usually metastable or unstable in the as-deposited state, and they will dewet or agglomerate to form islands when heated to sufficiently high temperatures.

This process is driven by surface energy minimization and can occur via surface diffusion well below a film's melting temperature, especially when the film is very thin. Dewetting during processing of films for use in micro.