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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:
Plane Potential Flows01:23

Plane Potential Flows

Plane potential flows simplify fluid motion by assuming the fluid to be irrotational and incompressible. These characteristics allow these flows to be described by a velocity potential function, ϕ, representing the flow speed in a given direction, and a stream function, ψ, that visualizes the flow path, both governed by Laplace's equation. These parameters help in estimating flow patterns, velocity distributions, and pressure fields around various hydraulic structures.
Uniform Flow
Uniform flow...
Couette Flow01:22

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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...
Boundary Layer Characteristics01:18

Boundary Layer Characteristics

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Uniform Depth Channel Flow01:27

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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

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Experimental Investigation of the Flow Structure over a Delta Wing Via Flow Visualization Methods
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Published on: April 23, 2018

In search of the elusive zonal flow using cross-bicoherence analysis

Diamond1, Rosenbluth, Sanchez

  • 1University of California, San Diego, La Jolla, California 92093-0319, USA.

Physical Review Letters
|September 16, 2000
PubMed
Summary

Modulational instability growth rates for zonal flows are derived from the quasilinear wave kinetic equation. This study links zonal flow growth to plasma potential and drift-wave Reynolds stress, with experimental data suggesting nonlinear phase coupling modifications.

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Area of Science:

  • Plasma physics
  • Fluid dynamics
  • Nonlinear dynamics

Background:

  • Zonal flows are crucial for plasma confinement in fusion devices.
  • Understanding their stability is key to controlling plasma turbulence.
  • Previous studies have explored linear stability, but nonlinear mechanisms remain an active research area.

Purpose of the Study:

  • To determine the modulational instability growth rate of zonal flows directly from the quasilinear wave kinetic equation.
  • To establish a quantitative relationship between zonal flow growth and nonlinear wave-particle interactions.
  • To investigate experimental evidence of nonlinear phase coupling during plasma transitions.

Main Methods:

  • Derivation of the modulational instability growth rate using the quasilinear wave kinetic equation.
  • Explicit calculation of the cross bispectrum between Reynolds stress and plasma potential.
  • Analysis of experimental data on bicoherence evolution during L-H transitions.

Main Results:

  • The modulational instability growth rate of zonal flows is directly determined by the quasilinear wave kinetic equation.
  • A clear relation is demonstrated between zonal flow growth and the cross bispectrum of drift-wave-driven Reynolds stress and plasma potential.
  • Experimental measurements reveal modifications in nonlinear phase coupling at the L-H transition edge, potentially linked to sheared ExB flow generation.

Conclusions:

  • The quasilinear wave kinetic equation provides a direct method for calculating zonal flow instability growth rates.
  • Nonlinear phase coupling, quantified by the cross bispectrum, plays a significant role in zonal flow dynamics.
  • Observed changes in nonlinear coupling during L-H transitions may contribute to the formation of sheared flows, impacting plasma confinement.