to ooze out
Moisture exuded from the damp wall
to ooze out orto allow or cause (a liquid or smell) to ooze or spread out in all directions
to display (a quality, feeling, etc) in abundance
She exudes charm
exudation /eksyooʹdaysh(ə)n/ noun
[Latin exsudare, from ex-1 + sudare to sweat]