Exact Transient Solution of Maxwell Equations

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Abstract:

In this report, we analyze a boundary value problem for the Maxwell equations, describing a transient process of establishing electrostatic equilibrium in an isotropic conducting plate. The solution is intended to be used for verification purposes when using the full magnetohydrodynamics code. To that end, various exact solutions of the Maxwell equations are required, and we establish one of those. The solution is representative when dealing with pulse loading problems. It clearly shows the importance of the displacement current concepts for analysis of transient processes in conductors.

Author(s):
Grinfeld, Michael ; Grinfeld, Pavel
Author Organization(s):
DEVCOM Army Research Laboratory; DREXEL UNIV PHILADELPHIA PA
Funding Organization(s):
DEVCOM Army Research Laboratory, Aberdeen Proving Ground , MD
Document Type:
Technical Report/Technical Report
Publication Date:
2021 Jun 01
Pagination:
17

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution Code:
A - Approved For Public Release
Distribution Statement: Public Release

RECORD

Collection: TRECMS
Identifying Numbers
Report Number(s):
ARL-TR-9220
Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
boundary value problems, equations, military research, abstracts, boundaries, equations of state, availability, buildings and structures, classification, contracts, displacement, geometry, mathematics, monitoring, research facilities, security, standards
Keyword(s):
electric current in conductors, irreversible thermodynamics, ALEGRA verification, exact solution, electrostatic equilibrium, isotropic conducting plates, magnetohydrodynamics code, displacement current
Subject Categories:
Mathematical and Computer Sciences; Physics; Physics
Creation Date:
2021 Jul 08
Update Date:
2021 Sep 21