WordNet (r) 3.0 (2006):

dry up
    v 1: lose water or moisture; "In the desert, you get dehydrated
         very quickly" [syn: exsiccate, dehydrate, dry up,
         desiccate] [ant: hydrate]
    2: dry up and shrivel due to complete loss of moisture; "a
       mummified body was found" [syn: mummify, dry up]

Moby Thesaurus II by Grady Ward, 1.0:

67 Moby Thesaurus words for "dry up":
   Sanforize, air-dry, anhydrate, attenuate, bake, be consumed,
   be used up, blot, brush, burn, consume, cure, dehumidify,
   dehydrate, desiccate, devitalize, diminish, drain, droop, dry,
   dummy up, emacerate, emaciate, evaporate, exsiccate, fade,
   fade away, fire, flag, give out, insolate, kiln, languish,
   macerate, mummify, mummy, parch, peter out, pine, pipe down,
   preshrink, ring off, rub, run dry, run out, scorch, sear, shrink,
   shrivel, shut up, smoke, soak up, sponge, sun, sun-dry, swab, thin,
   torrefy, towel, waste, waste away, weazen, welter, wilt, wipe,
   wither, wizen