Title :
The premelt dynamics of an exploding conductor circuit
Author :
Payne, Anthony N.
Author_Institution :
Lawrence Livermore Nat. Lab., California Univ., Livermore, CA, USA
fDate :
2/1/1988 12:00:00 AM
Abstract :
The system of nonlinear differential equations that model a simple exploding conductor circuit in its initial stages up to the melting point of the conductor is analyzed. Using the method of variation of parameters, approximate analytical solutions are derived that reflect the role of the circuit parameters and initial conditions in shaping the dynamics. A comparison with solutions obtained by numerical integration shows that the approximate solutions are quite accurate over the entire domain of validity of the mathematical model
Keywords :
exploding wires and foils; nonlinear differential equations; variational techniques; analytical solutions; circuit parameters; conductor melting point; exploding conductor circuit; nonlinear differential equations; premelt dynamics; variation of parameters; Circuit analysis; Conductors; Differential equations; EMP radiation effects; Helium; Mathematical model; Nonlinear dynamical systems; Pulse circuits; Resistance heating; Wire;
Journal_Title :
Plasma Science, IEEE Transactions on
