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Related Concept Videos

Irrotational Flow01:28

Irrotational Flow

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:
Turbulent Flow01:24

Turbulent Flow

Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent spots,...
Couette Flow01:22

Couette Flow

Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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.
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the streamlines...
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...

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Related Experiment Video

Updated: Jul 11, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Anisotropy and coherent vortex structures in planetary turbulence.

J C McWilliams, J B Weiss, I Yavneh

    Science (New York, N.Y.)
    |April 15, 1994
    PubMed
    Summary

    High-resolution simulations of fluid dynamics challenge the prediction of isotropy. Instead, planetary-scale flows self-organize into coherent vortices, leading to a nonturbulent state.

    Area of Science:

    • Fluid dynamics
    • Geophysics
    • Atmospheric science
    • Oceanography

    Background:

    • Planetary-scale fluid dynamics are crucial for understanding Earth's atmosphere and oceans.
    • Theoretical predictions suggest such flows should exhibit isotropy.
    • Previous models often simplified complex fluid interactions.

    Purpose of the Study:

    • To investigate the dynamics of unforced, planetary-scale fluid flows using high-resolution numerical simulations.
    • To test the long-standing theoretical prediction of isotropy in these systems.
    • To understand the self-organization mechanisms within large-scale fluid flows.

    Main Methods:

    • Employed high-resolution numerical simulations.
    • Utilized quasi-geostrophic equations for a Boussinesq fluid.

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    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

    Published on: July 19, 2016

    Preparation of Free-Surface Hyperbolic Water Vortices
    04:35

    Preparation of Free-Surface Hyperbolic Water Vortices

    Published on: July 28, 2023

    Related Experiment Videos

    Last Updated: Jul 11, 2026

    Magnetically Induced Rotating Rayleigh-Taylor Instability
    06:42

    Magnetically Induced Rotating Rayleigh-Taylor Instability

    Published on: March 3, 2017

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
    11:00

    Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

    Published on: July 19, 2016

    Preparation of Free-Surface Hyperbolic Water Vortices
    04:35

    Preparation of Free-Surface Hyperbolic Water Vortices

    Published on: July 28, 2023

  • Simulated a uniformly rotating and stably stratified environment.

    • Main Results:

    • Observed significant discrepancies from the predicted isotropy.
    • Identified self-organization of the flow into a large population of coherent vortices.
    • Demonstrated that chaotic vortex interactions govern the flow evolution.

    Conclusions:

    • The assumption of isotropy in planetary-scale fluid dynamics is challenged.
    • Coherent vortex dynamics play a critical role in the self-organization of geophysical flows.
    • These flows evolve towards a nonturbulent final state, driven by vortex interactions.