2003/01/31 by Wolfgang Dobler, Peter Frick, Rodion Stepanov · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Fluid dynamics and aerodynamics studies #Geomagnetism and Paleomagnetism Studies #astro-ph
paper · pdf · doi:10.1103/physreve.67.056309
published as Phys.Rev. E67 (2003) 056309 · 10 pages, 12 figures
openalex publication_date 2003/05/21 · arxiv created 2003/08/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The kinematic dynamo problem is investigated for the flow of a conducting fluid in a cylindrical, periodic tube with conducting walls. The methods used are an eigenvalue analysis of the steady regime, and the three-dimensional solution of the time-dependent induction equation. The configuration and parameters considered here are close to those of a dynamo experiment planned in Perm, which will use a torus-shaped channel. We find growth of an initial magnetic field by more than three orders of magnitude. A marked field growth can be obtained if the braking time is less than 0.2 s and only one diverter is used in the channel. The structure of the seed field has a strong impact on the field amplification factor. Generation properties can be improved by adding ferromagnetic particles to the fluid in order to increase its relative permeability, but this will not be necessary for the success of the dynamo experiment. For higher magnetic Reynolds numbers, the nontrivial evolution of different magnetic modes limits the value of simple "optimistic" and "pessimistic" estimates.