Physics:Quantum Magnetohydrodynamics: Difference between revisions

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{{Short description|Fluid description of conducting plasmas}}
{{Short description|Fluid description of conducting plasmas}}
{{Quantum book backlink|Plasma and kinetic methods}}
{{Quantum methods backlink|Plasma and kinetic methods}}
{{Quantum methods backlink|Plasma and kinetic methods}}


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'''Magnetohydrodynamics''' (MHD) describes the behavior of conducting fluids such as plasmas.
'''Magnetohydrodynamics''' (MHD) describes the behavior of conducting fluids such as plasmas.


It is derived as a macroscopic limit of [[Physics:Quantum kinetic theory|kinetic theory]].
It is derived as a macroscopic limit of [[Physics:Quantum kinetic theory|kinetic theory]].
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== Fundamental equations ==
== Fundamental equations ==

Revision as of 15:50, 17 May 2026


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Fundamental equations

Magnetohydrodynamics is described by a set of coupled equations:

Continuity equation (mass conservation):

∂ρ∂t+∇⋅(ρ𝐮)=0

Momentum equation:

ρ(∂𝐮∂t+𝐮⋅∇𝐮)=−∇p+𝐉×𝐁

Induction equation:

∂𝐁∂t=∇×(𝐮×𝐁)

Magnetic constraint:

∇⋅𝐁=0

Limitations

MHD does not include effects described by transport theory or drift physics.

See also

Table of contents (217 articles)

Index

Full contents

References


Author: Harold Foppele


Source attribution: Magnetohydrodynamics

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