https://scholarlywiki.org/index.php?action=history&feed=atom&title=Physics%3AQuantum_Magnetohydrodynamics 2026-05-14T02:59:35Z Revision history for this page on the wiki MediaWiki 1.43.1 https://scholarlywiki.org/index.php?title=Physics:Quantum_Magnetohydrodynamics&diff=624&oldid=prev 2026-05-08T18:24:21Z

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imported>WikiHarold https://scholarlywiki.org/index.php?title=Physics:Quantum_Magnetohydrodynamics&diff=133&oldid=prev 2026-05-08T18:24:21Z

<p>Replace raw Quantum Collection backlink with BT backlink template</p> <p><b>New page</b></p><div>{{Short description|Fluid description of conducting plasmas}}<br /> {{Quantum methods backlink|Plasma and kinetic methods}}<br /> <br /> &#039;&#039;&#039;Magnetohydrodynamics&#039;&#039;&#039; (MHD) describes the behavior of conducting fluids such as plasmas.<br /> <br /> It is derived as a macroscopic limit of [[Physics:Quantum kinetic theory|kinetic theory]].<br /> <br /> == Fundamental equations ==<br /> <br /> Magnetohydrodynamics is described by a set of coupled equations:<br /> <br /> ===Continuity equation (mass conservation):===<br /> &lt;math&gt;<br /> \frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \mathbf{u}) = 0<br /> &lt;/math&gt;<br /> <br /> === Momentum equation:===<br /> &lt;math&gt;<br /> \rho \left( \frac{\partial \mathbf{u}}{\partial t} + \mathbf{u} \cdot \nabla \mathbf{u} \right)<br /> = -\nabla p + \mathbf{J} \times \mathbf{B}<br /> &lt;/math&gt;<br /> <br /> ===Induction equation:===<br /> &lt;math&gt;<br /> \frac{\partial \mathbf{B}}{\partial t} = \nabla \times (\mathbf{u} \times \mathbf{B})<br /> &lt;/math&gt;<br /> <br /> ===Magnetic constraint:===<br /> &lt;math&gt;<br /> \nabla \cdot \mathbf{B} = 0<br /> &lt;/math&gt;<br /> <br /> == Limitations ==<br /> MHD does not include effects described by [[Physics:Quantum Transport theory|transport theory]] or [[Physics:Quantum Drift physics|drift physics]].<br /> <br /> =See also=<br /> {{#invoke:PhysicsQC|tocHeadingAndList|Physics:Quantum basics/See also}}<br /> <br /> =References=<br /> {{reflist|3}}<br /> <br /> {{Author|Harold Foppele}}<br /> {{Sourceattribution|Magnetohydrodynamics|1}}</div>

imported>WikiHarold