Numerical Analysis on the Stability of Conductive Fluid Cylinder

The Effect of Electromagnetic Pinch Force on the Bridging Transfer (Rept. 1)

Abstract

The numerical solution technique for the dynamics of a viscous incompressible fluid with a free surface, which is called the Marker And Cell (MAC) method, is applied to the problem of the stability in the electromagnetic fluid cylinder.
Numerical stability and accuracy of the MAC method, which is based on Finite-Difference Method, are examined as the first step for an analytical study of the kinetics of the metal transfer in the arc welding processes. In the growth rate of instability of the fluid cylinder, the numerical solutions by MAC method agree with the analytical solutions by Rayleigh, Murty and Chandrasekhar within the numerical error.