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 Concept Videos

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

936
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
936
Non-uniform Circular Motion01:22

Non-uniform Circular Motion

10.0K
In uniform circular motion, the particle executing circular motion has a constant speed, and the circle is at a fixed radius. However, not all circular motion occurs at a constant speed. A particle can travel in a circle and speed up or slow down, showing an acceleration in the direction of motion. In that case, the motion is called non-uniform circular motion, and an additional acceleration is introduced, which is in the direction tangential to the circle. 
For example, such...
10.0K
Irrotational Flow01:28

Irrotational Flow

1.1K
Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
1.1K
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

1.3K
Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
1.3K
Accelerating Fluids01:17

Accelerating Fluids

2.4K
When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
2.4K
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

4.1K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
4.1K

You might also read

Related Articles

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

Sort by
Same author

Gap solitons and truncated nonlinear Bloch waves in combined linear and quintic nonlinear lattices.

Optics express·2026
Same author

Multi-ring necklace vortex solitons in Kerr nonlinear media with azimuthally modulated Bessel potentials.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same author

Parametrically driven pure-quartic solitons.

Optics letters·2026
Same author

Stable high-order solitons in spiral potentials.

Optics letters·2026
Same author

Toroidal confinement and beyond: Vorticity-defined morphologies of dipolar ^{164}Dy quantum droplets.

Physical review. E·2026
Same author

Flat-top solitons and anomalous interactions in media with even-order dispersions and competing nonlinearities.

Optics letters·2026

Related Experiment Video

Updated: Mar 8, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

10.2K

Rotating vortex clusters in media with inhomogeneous defocusing nonlinearity.

Yaroslav V Kartashov, Boris A Malomed, Victor A Vysloukh

    Optics Letters
    |February 2, 2017
    PubMed
    Summary

    Stable vortex clusters in nonlinear media were identified. Rotation can create asymmetric clusters, with some vortices shifting outwards and others inwards, potentially enhancing stability.

    More Related Videos

    Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
    12:34

    Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

    Published on: June 24, 2016

    10.6K
    Preparation of Free-Surface Hyperbolic Water Vortices
    04:35

    Preparation of Free-Surface Hyperbolic Water Vortices

    Published on: July 28, 2023

    3.9K

    Related Experiment Videos

    Last Updated: Mar 8, 2026

    Magnetically Induced Rotating Rayleigh-Taylor Instability
    06:42

    Magnetically Induced Rotating Rayleigh-Taylor Instability

    Published on: March 3, 2017

    10.2K
    Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
    12:34

    Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

    Published on: June 24, 2016

    10.6K
    Preparation of Free-Surface Hyperbolic Water Vortices
    04:35

    Preparation of Free-Surface Hyperbolic Water Vortices

    Published on: July 28, 2023

    3.9K

    Area of Science:

    • Nonlinear optics
    • Optical physics
    • Condensed matter physics

    Background:

    • Cubic nonlinearity in optical media is crucial for phenomena like spatial solitons and vortex formation.
    • Understanding vortex cluster dynamics in inhomogeneous media is essential for advanced optical applications.

    Purpose of the Study:

    • To investigate the formation and stability of vortex clusters in media with inhomogeneous defocusing cubic nonlinearity.
    • To analyze the impact of rotation on the symmetry and stability of these vortex clusters.

    Main Methods:

    • Numerical simulations were employed to model vortex cluster formation and dynamics.
    • Analysis was performed in both nonrotating and rotating reference frames.
    • Existence domains for different cluster configurations were identified.

    Main Results:

    • Stable vortex clusters, nested in a localized envelope, were demonstrated.
    • Nonrotating symmetric clusters consist of an even number of vortices with opposite topological charges.
    • Rotation induces asymmetry, shifting vortices based on topological charge, and can stabilize certain configurations.

    Conclusions:

    • Inhomogeneous defocusing cubic nonlinearity supports diverse stable vortex clusters.
    • Rotation significantly alters cluster symmetry and can lead to stabilization of asymmetric states.