How to create witch king of Angmar's fire sword effect?

Video for reference:

My question is:
How do I make the fire effect such that it starts at the bottom of the sword, goes up and covers the whole sword?

I am a programmer and have close to no knowledge of materials and particle system. I tried adding the starter content fire to a sword (LOL) but it did not look like the reference at all.

Any help/link to tutorials will be appreciated!