WordNet (r) 3.0 (2006):

burn up
    v 1: burn brightly; "Every star seemed to flare with new
         intensity" [syn: flare, flame up, blaze up, burn
         up]
    2: use up (energy); "burn off calories through vigorous
       exercise" [syn: burn off, burn, burn up]
    3: burn completely; be consumed or destroyed by fire; "The hut
       burned down"; "The mountain of paper went up in flames" [syn:
       burn down, burn up, go up]

Moby Thesaurus II by Grady Ward, 1.0:

95 Moby Thesaurus words for "burn up":
   ablate, absorb, aggravate, anger, annoy, assimilate, badger, bait,
   be at, bedevil, beset, bleed white, bother, bristle, brown off,
   bug, bullyrag, burn down, chivy, consume, cremate, deplete, devil,
   digest, discompose, distemper, disturb, dog, drain,
   drain of resources, eat, eat up, erode, exasperate, exercise,
   exhaust, expend, fash, finish, finish off, gall, get, gobble,
   gobble up, grate, gripe, harass, harry, heckle, hector, hound,
   impoverish, incendiarize, incinerate, inflame, ingest, irk,
   make angry, make mad, make sore, miff, molest, nag, needle, nettle,
   nudzh, peeve, persecute, pester, pick on, pique, plague,
   pluck the beard, pother, provoke, reduce to ashes, ride, rile,
   roil, ruffle, spend, squander, suck dry, swallow, swallow up,
   tease, tick off, torment, try the patience, tweak the nose, use up,
   vex, waste away, wear away, worry