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RESEARCH PRODUCT
Analytical solution for the diffusion of a capacitor discharge generated magnetic field pulse in a conductor
I. GrantsAndris BojarevicsGunter Gerbethsubject
010302 applied physicsPower seriesChemistryAnalytical chemistryGeneral Physics and Astronomymagnetic field02 engineering and technologyWeldingPower factorMechanics021001 nanoscience & nanotechnology01 natural scienceslcsh:QC1-999Electromagnetic forminglaw.inventionConductorCapacitor dischargeMagnetic fieldExact solutions in general relativitylaw0103 physical sciences0210 nano-technologylcsh:Physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-06-01 | AIP Advances |