MHD-Drift Equations: from Langmuir circulations to MHD-dynamo?
Vladimir A. Vladimirov
TL;DR
This paper derives averaged MHD equations for oscillating flows, linking vortex dynamo phenomena like Langmuir circulations to MHD-dynamo concepts, using advanced mathematical methods.
Contribution
It introduces a novel derivation of averaged MHD equations for oscillating flows, connecting vortex dynamo mechanisms to MHD-dynamo theory.
Findings
Derived closed averaged MHD equations for oscillating flows
Established connection between vortex dynamo and MHD-dynamo
Formulated a conjecture on MHD-dynamo mechanisms
Abstract
We have derived the closed system of averaged MHD-equations for general oscillating flows, which are purely oscillating in the main approximation. We have used the mathematical approach which combines the two-timing method and the notion of the distinguished limit. Properties of the commutators are used to simplify calculations. The direct connection with a vortex dynamo (or the Langmuir circulations) has been demonstrated and a conjecture on the MHD-dynamo has been formulated.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFluid dynamics and aerodynamics studies · Fluid Dynamics and Turbulent Flows · Geomagnetism and Paleomagnetism Studies