Electromagnetic induction in conductors accelerated in magnetic fields amplified by flux compression

Finite difference time domain algorithm for electromagnetic problems involving material movement

“…This new method has been validated against analytical solutions for the spatio-temporal distribution of the magnetic field, given in [3][4][5]. These solutions apply to a simple flux compression system having the slab geometry shown in Fig.…”

“…Another difficulty in magneto-hydrodynamic (MHD) calculations for such systems is the self-consistent coupling of external circuit equations to hydrodynamic calculations via the current density [2]. 0021 Analytical treatments of magnetic field diffusion in such systems are only possible for simple geometries, e.g., slab geometry [3][4][5]. To our knowledge, none of the closed-form expressions can handle all the complexities listed above.…”

An Eulerian MHD model for the analysis of magnetic flux compression by expanding diamagnetic fusion plasma sphere

“…The initial inner radius, conductivity and velocity of the liner are chosen so as to satisfy the condition of large magnetic Reynolds number. The analytical solution of the problem can be found [40][41][42][43]. A parabolic liner trajectory of the form r 2 (t) = r 2 o [1 + a(1 − t/t o ) 2 ] is used to have a consistency with the analytical solutions provided in Ref.…”

“…Next, a magnetic convective-diffusion problem [15,[40][41][42][43] is chosen for the validation of magnetic field diffusion into a moving conductor. The flux compression problem [15,40] is formulated in a cylindrical co-ordinate system.…”

Exoatmospheric Applications of Obscurants and Smokes.

“…The substratum is a physical concept Kaempffer, 19531 whereas absolute rest is a methaphysical concept, and these should, therefore, not be intermixed. The electromagnetic field equations (14) - (19) In addition, the presented theory Justufies the widespread use of nonrelativistic electrodynamics for the analysis of moving conductors in electrical engineering, magnetohydrodynamics, and plasma physics [Stratton, 1941;Wilhelm, 1983. We have considered here only the transformation of Maxwell's equations to inertial frames.…”