Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Gravity capillary waves in fluid layers under normal electric fields.

Demetrios T Papageorgiou1, Peter G Petropoulos, Jean-Marc Vanden-Broeck

  • 1Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, New Jersey 07102, USA. depapa@oak.njit.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Domain decomposition multiple scattering solvers by semi-infinite and infinite arrays of discrete identical scatterers in two dimensions.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2025
Same author

Solitary flexural-gravity waves in three dimensions.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2018
Same author

Korteweg-de Vries solitons on electrified liquid jets.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Numerical study of interfacial solitary waves propagating under an elastic sheet.

Proceedings. Mathematical, physical, and engineering sciences·2014
Same author

Electrostatic suppression of the "coffee stain effect".

Langmuir : the ACS journal of surfaces and colloids·2014
Same author

Hybrid free-surface flows in a two-dimensional channel.

Physical review. E, Statistical, nonlinear, and soft matter physics·2011
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

This study investigates interfacial waves in a dielectric fluid layer under electric fields. It reveals a critical voltage above which wave instability causes layer thinning, leading to a finite-time singularity.

Area of Science:

  • Fluid Dynamics
  • Electromagnetism
  • Nonlinear Wave Phenomena

Background:

  • Interfacial waves are crucial in various physical phenomena.
  • The influence of electric fields on fluid interfaces is complex and requires detailed study.
  • Understanding fluid layer dynamics under external potentials is essential for technological applications.

Purpose of the Study:

  • To investigate the formation and dynamics of interfacial waves on a dielectric fluid layer.
  • To analyze the effects of electric fields, gravity, and surface tension on wave behavior.
  • To derive and study nonlinear evolution equations governing these interfacial waves.

Main Methods:

  • Derivation of long-wave nonlinear evolution equations.
  • Analysis of the system's behavior under varying electric potentials.

Related Experiment Videos

  • Numerical computations and analytical methods to study wave stability and singularity formation.

    • Main Results:

    • A critical voltage difference was identified, distinguishing between dispersive and unstable wave regimes.
    • Above the critical voltage, unstable waves lead to layer thinning and a finite-time singularity.
    • Nonlinear traveling waves were calculated and their stability analyzed in the dispersive regime.

    Conclusions:

    • Electric fields can significantly alter fluid interface dynamics, inducing instability.
    • The derived model accurately captures the complex interplay of forces at the interface.
    • The study provides insights into singularity formation and scaling behavior in driven fluid systems.