Induction melting of steel - melting time calculation

Hi,

We're trying to size a small induction melting furnace (similar to those used in the jewelry making industry) for our application and I was wondering if anyone with some experience in this subject can help answer the following question:

How long would it take to melt 3.5 lbs of 4140 Steel (2"Dia. x 4"L bar at

1600 deg. C, 7.8 g/cc) with a 10 KW medium frequency (10-30Khz) water-cooled induction melting machine using the proper crucible (350 cc capacity)? Are there any other factors missed here that would influence this calculation?

Here's a typical small melting furnace (this one is 9.5 KW):

Thanks in advance, James