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Couette Flow

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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...

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The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.

Magnetostatic Boundary Conditions

Magnetostatic Boundary Conditions

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Related Experiment Video

Updated: Dec 6, 2025

Ultrasound Velocity Measurement in a Liquid Metal Electrode

Ultrasound Velocity Measurement in a Liquid Metal Electrode

Published on: August 5, 2015

Weakly Magnetized, Hall Dominated Plasma Couette Flow.

K Flanagan¹, J Milhone¹, J Egedal¹

¹Department of Physics, University of Wisconsin-Madison, 1150 University Avenue, Madison, Wisconsin 53706, USA.

Physical Review Letters

|October 9, 2020

Summary

This summary is machine-generated.

Researchers describe a new plasma equilibrium producing high-speed Couette flow. This study observes significant magnetic field amplification and expulsion, driven by cross-field currents and the Hall effect in a high-beta plasma.

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Area of Science:

Plasma Physics
Magnetohydrodynamics (MHD)
High-energy density physics

Background:

Understanding plasma behavior in high-beta regimes is crucial for applications like fusion energy and astrophysics.
The Hall effect plays a significant role in plasma dynamics, particularly in systems with significant electron drift velocities.
Couette flow, a type of fluid flow between moving boundaries, is a relevant model for various plasma phenomena.

Purpose of the Study:

To describe a novel plasma equilibrium in the high-beta, Hall regime.
To investigate the generation of centrally peaked, high Mach number Couette flow.
To analyze the magnetic field amplification and expulsion phenomena driven by cross-field currents.

Main Methods:

Utilizing a weak, uniform magnetic field to drive plasma flow.
Employing large cross-field currents to induce plasma motion.
Observing and quantifying magnetic field amplification and expulsion using diagnostic techniques.

Main Results:

A novel plasma equilibrium was achieved, producing high Mach number Couette flow.
Significant magnetic field amplification (factor of 20) was observed with radially inward electron flow due to the Hall effect.
Near-perfect magnetic field expulsion was achieved when the plasma flow was reversed.
A dynamic equilibrium was established between the modified magnetic field and density gradients.

Conclusions:

The Hall effect is a key mechanism for magnetic field amplification and expulsion in high-beta plasmas.
Controlling plasma flow direction allows for tunable magnetic field interactions.
The described equilibrium offers a new framework for studying dynamic plasma behavior and magnetic field evolution.