There may be two interpretations of the term "furnace" as it is used here (and maybe more). There is the industrial furnace used to smelt ore and process and refine metals, and there is the furnace that is used to heat structures. Here's the problem. People have been figuring out how to heat the spaces where they hang out since a stone age person lit a fire in a cave. Bottom line is that we can't pinpoint an individual at a specific time with a specific plan. Use the link provided to the Wikipedia article on the furnace. The two drawings you'll see there at the beginning of the article date way, way back, and that's a clue to how long we've been working on solving the problem of heating our buildings. Read down through the posted material and you'll appreciate how difficult it is to attribute the invention of the furnace to a single individual. Or maybe you'll appreciate why it probably isn't as easy as that and only "steps" in the development of this appliance can be noted.
The open hearth furnace.
139 b.C.
In 1865, the French engineer Pierre-Émile Martin took out a license from Siemens and first applied his furnace for making steel. Their process was known as the Siemens-Martin process, and the furnace as an "open-hearth" furnace.
Benjamin Franklin (1706-1790) invented the iron furnace stove or 'Franklin Stove'
HE INVENTED: MULTIPLEX RAILWAYS steam boiler furnace incubator
Granville T. Woods invented the Steam Boiler Furnace
2005
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The open hearth furnace.
heating furnace
139 b.C.
Alice Parker did not invent the furnace in 1919--instead, she invented a more efficient gas furnace system in 1919. If she died in 1692, it would be impossible for her to have invented the modern furnace.
Alice h Parker
Cause it's cold n1gga!
Inventor Granville Woods received his first patent on January 3, 1884 for a steam boiler furnace.