Pictured below is a standalone steamer used for foaming and heating milk for milk-based coffee drinks like cappuccinos and lattes. They can be filled with water up to the pressure relief incorporated in the handle which is about 32 US fluid oz (1L) worth.
Once the pressure relief valve starts kicking in, a cup of cold milk can be steamed to about 150°F/65°C in about 60-75 seconds.
Assuming the steamer is already on the most power gas burner, can:
a) The 60-75 seconds it takes the milk to be steamed to 150°F/65°C be lowed?, and
b) The time it takes the whole process, including initially boiling the water, be lowered?
a) Would the water level make a difference?
b) How about the amount of steam let through the wand (controllable by the round knob)?
c) How about the size of the hole at the end of the wand that the steam comes out of? Would more holes or different diameters make a difference?