TITLE

Destabilizing effect of density gradient on the Kelvin–Helmholtz instability

AUTHOR(S)
Wang, L. F.; Xue, C.; Ye, W. H.; Li, Y. J.
PUB. DATE
November 2009
SOURCE
Physics of Plasmas;Nov2009, Vol. 16 Issue 11, p112104
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we derive explicit analytic formulas for the linear growth rate and frequency of the Kelvin–Helmholtz instability in fluids with the density gradient. The analytic formulas are in excellent agreement with the results of two-dimensional numerical simulation. We found that the density gradient effect enforces (destabilizes) the Kelvin–Helmholtz instability by increasing its linear growth rate in the direction normal to the perturbed interface. The frequency is reduced (stabilized) by the density gradient effect, i.e., the density gradient decreases the transmission of the perturbation in the direction along to the perturbed interface. In most cases, the combined effect of density and velocity gradients stabilizes the Kelvin–Helmholtz instability.
ACCESSION #
45515227

 

Related Articles

  • The evolution of a localized nonlinear wave of the Kelvin-Helmholtz instability with gravity. Orazzo, Annagrazia; Hoepffner, Jérôme // Physics of Fluids;Nov2012, Vol. 24 Issue 11, p112106 

    At the interface between two fluids of different density and in the presence of gravity, there are well known periodic surface waves which can propagate for long distances with little attenuation, as it is for instance the case at the surface of the sea. If wind is present, these waves...

  • Computer simulation study of the local pressure in a spherical liquid-vapor interface. El Bardouni, H.; Mareschal, M.; Lovett, R.; Baus, M. // Journal of Chemical Physics;12/1/2000, Vol. 113 Issue 21 

    The pressure profiles across a liquid-vapor interface introduced previously [J. Chem. Phys. 106, 635 (1997)] have been evaluated with the aid of molecular dynamics simulations for a system of particles interacting via a (truncated and shifted) Lennard-Jones potential. This investigation extends...

  • Simulation of x-ray diffraction intensity variation of W/Si multilayer after annealing. He, Xian-chang; Shen, He-sheng; Wu, Zi-qin // Journal of Applied Physics;4/1/1990, Vol. 67 Issue 7, p3481 

    Presents a study which performed a computer simulation of small angle x-ray diffraction intensities of the W/Si multilayer with possible structural models of interfaces after annealing, with or without systematic and random deviations. Examples of models which are related to different interface...

  • Structure of the liquid–vapor interface of water. Townsend, R. Michael; Gryko, Jan; Rice, Stuart A. // Journal of Chemical Physics;5/1/1985, Vol. 82 Issue 9, p4391 

    Presents the results of computer simulations of the liquid-vapor interface of water. Liquid-vapor interface of a free cluster; Monte Carlo minimizations and Lennard-Jones interaction between oxygen atoms; Density profile through the liquid-vapor interface.

  • Computer simulation of fluids interacting with fluctuating walls. Lupkowski, Mark; van Swol, Frank // Journal of Chemical Physics;7/1/1990, Vol. 93 Issue 1, p737 

    We present a new method for performing molecular simulations of systems with planar interfaces in the presence of fluctuating walls. The technique is essentially the realization of a frictionless piston exerting an external potential on a fluid within a container. The simulation cell is...

  • Optimal Design of Periodic Diffractive Structures. Bao, G.; Bonnetier, E.; Jensen, R. R. // Applied Mathematics & Optimization;2001, Vol. 43 Issue 2, p103 

    The problem of designing a periodic interface between two different materials, which gives rise to a specified far-field diffraction pattern for a given incoming plane wave, is considered. The time harmonic waves are assumed to be TM (transverse magnetic) polarized. The diffraction problem is...

  • Microscopic understanding of the electrochemical interfaces. Osamu Sugino // AIP Conference Proceedings;Dec2013, Vol. 1568, p43 

    First-principles molecular dynamics simulations have advanced microscopic understanding of the electrochemical reactions as well as the electrode/electrolyte interfaces. Those simulations describe the properties of the inner Helmholtz layer successfully. By contrast, the description of the...

  • Helmholtz Bright Spatial Solitons and Surface Waves at Power-Law Optical Interfaces. Christian, J. M.; McCoy, E. A.; McDonald, G. S.; Sanchez-Curto, J.; Chamorro-Posada, P. // Journal of Atomic, Molecular & Optical Physics;2012, p1 

    We consider arbitrary angle interactions between spatial solitons and the planar boundary between two optical materials with a single power-law nonlinear refractive index. Extensive analysis has uncovered a wide range of new qualitative phenomena in non-Kerr regimes. A universal Helmholtz-Snell...

  • Computer simulation of high-resolution transmission electron microscopy images of Si/SiO2 interfaces. Ohdomari, Iwao; Mihara, Tohru; Kai, Kazuhiko // Journal of Applied Physics;4/15/1986, Vol. 59 Issue 8, p2798 

    Deals with a study which dealt with the computer simulation of high-resolution transmission electron microscopy (HRTEM) images of the crystalline silicon (Si) and silicon dioxide interfaces. Purpose of HRTEM technology; Considerations for three surface morphologies of Si; Calculation procedures...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics