Details

Autor(en) / Beteiligte

• Grants, Ilmārs
• Bojarevičs, Andris
• Gerbeth, Gunter

Titel

Analytical solution for the diffusion of a capacitor discharge generated magnetic field pulse in a conductor

Ist Teil von

• AIP advances, 2016-06, Vol.6 (6), p.065014-065014-9

Ort / Verlag

Melville: American Institute of Physics

Erscheinungsjahr

2016

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• Powerful forces arise when a pulse of a magnetic field in the order of a few tesla diffuses into a conductor. Such pulses are used in electromagnetic forming, impact welding of dissimilar materials and grain refinement of solidifying alloys. Strong magnetic field pulses are generated by the discharge current of a capacitor bank. We consider analytically the penetration of such pulse into a conducting half-space. Besides the exact solution we obtain two simple self-similar approximate solutions for two sequential stages of the initial transient. Furthermore, a general solution is provided for the external field given as a power series of time. Each term of this solution represents a self-similar function for which we obtain an explicit expression. The validity range of various approximate analytical solutions is evaluated by comparison to the exact solution.