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Potential Due to a Magnetized Object

Potential Due to a Magnetized Object

Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...

Magnetostatic Boundary Conditions

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

Ampere's Law in Matter

Ampere's Law in Matter

The total current density in magnetized material is the sum of the free and bound current densities. The free current arises due to the motion of free electrons within the material, while the bound current arises due to the alignment of magnetic dipole moments.
The differential form of Ampere's law in vacuum states that the curl of the magnetic field equals the permeability times the current density. In a magnetized material, the law is modified to incorporate the free and bound current...

Magnetic Flux

Magnetic Flux

The magnetic flux measures the number of magnetic field lines passing through a given surface area. The SI unit for magnetic flux is the weber (Wb). Magnetic flux is a scalar quantity. It depends on three factors: the strength of the magnetic field B, the area through which the field lines pass, and the relative orientation of the field with the surface area.
Suppose a surface is divided into elements of area dA. For each element, the component of the magnetic field that is normal to the...

Magnetic Susceptibility and Permeability

Magnetic Susceptibility and Permeability

In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...

Magnetic Damping

Magnetic Damping

Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...

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Related Experiment Video

Updated: Jun 27, 2026

Emission Spectroscopic Boundary Layer Investigation during Ablative Material Testing in Plasmatron

Emission Spectroscopic Boundary Layer Investigation during Ablative Material Testing in Plasmatron

Published on: June 9, 2016

A numerical algorithm for magnetohydrodynamics of ablated materials.

Tianshi Lu¹, Jian Du, Roman Samulyak

¹Computational Science Center, Brookhaven National Laboratory, Upton, NY 11973, USA.

Journal of Nanoscience and Nanotechnology

|December 5, 2008

Summary

This summary is machine-generated.

This study presents a novel numerical algorithm for simulating magnetohydrodynamics in partially ionized ablated materials, enhancing plasma physics research. The method accurately models complex interfaces and material properties for advanced simulations.

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Last Updated: Jun 27, 2026

Emission Spectroscopic Boundary Layer Investigation during Ablative Material Testing in Plasmatron

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Published on: June 9, 2016

Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package

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A 100 KW Class Applied-field Magnetoplasmadynamic Thruster

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Published on: December 22, 2018

Area of Science:

Plasma Physics
Computational Fluid Dynamics
Magnetohydrodynamics

Background:

Simulating ablated materials in plasma requires advanced numerical methods.
Partially ionized and ablated materials present unique challenges due to complex interfaces and electromagnetic interactions.

Purpose of the Study:

To develop and implement a robust numerical algorithm for simulating magnetohydrodynamics in partially ionized ablated materials.
To accurately model the hydrodynamics and electromagnetic aspects of ablation processes.

Main Methods:

Solving hyperbolic conservation laws for hydrodynamics using free surface flow techniques.
Applying the electrostatic approximation and solving an elliptic equation for electric potential.
Implementing a front tracking framework with an embedded boundary method for complex interfaces in 2D and 3D.

Main Results:

The algorithm successfully simulates geometrically complex evolving interfaces.
A surface model for solid target-vapor interfaces and an equation of state considering atomic processes were developed.
The code was applied to simulations of pellet ablation in magnetically confined plasma and laser-ablated plasma plume expansion.

Conclusions:

The developed numerical algorithm provides a powerful tool for simulating magnetohydrodynamics in partially ionized ablated materials.
The integrated approach effectively handles complex physical phenomena, including interface dynamics and electromagnetic effects.
This work advances the simulation capabilities for scenarios involving plasma-material interactions.