burn up vs flame up

burn up and flame up both are verbs.

Word	Noun	Adjective	Verb	Adverb
burn up	No	No	Yes	No
flame up	No	No	Yes	No

As verbs, burn up and flame up are synonyms defined as:

Other synonyms of burn up include blaze up, flare.

burn up (verb)	flame up (verb)
burn completely; be consumed or destroyed by fire	become ignited
use up (energy)	burn brightly
burn brightly