Kelvin–Helmholtz Instability and Cooling Limitations of a Vertical Molten Sheet Confined by Alternating Magnetic Fields

Limitations imposed by a Kelvin–Helmholtz-type instability on the cooling of a vertical molten sheet that is confined by magnetic fields alternating in time are calculated. The molten sheet is cooled by a gas stream flowing on both sides of the sheet. The Kelvin–Helmholtz instability imposes a maximum velocity on the cooling gas, which limits the cooling rate. The maximum cooling rate is calculated with respect to the maximum velocity, gas physical properties, flow channel geometry, surface tension, and magnetic field properties.