Analytical Treatment of Hollow Toroid Flux Tubes
Herbert Schmidt
TL;DR
This paper develops analytical models for hollow toroid flux tubes considering their true axisymmetric geometry, providing a more accurate alternative to traditional planar flux tube approximations.
Contribution
It introduces analytical expressions for hollow toroid flux tubes based on their actual geometry, improving upon the standard planar approximation method.
Findings
Analytical expressions for hollow toroid flux tubes derived.
Comparison shows differences between true geometry and planar approximation.
Enhanced accuracy in modeling flux tubes around cylindrical poles.
Abstract
Stray flux tubes around cylindrical poles are commonly modelled starting from the results for planar flux tubes using the circumference of the cylinder as depth. While this is a tried and tested approach, we here discuss analytical expressions using the actual axisymmetric geometry of a fraction of a hollow torus and compare their results to those of the accepted approach.
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.