Stack is used after these nouns:
chimney, hay, library

carefully, neatly
away, up
The wood was collected up and carefully stacked away.
Stack the chairs up over there.

against
The cases were stacked against the wall.

in
The paintings were stacked in a corner of the room.

on
The plates were neatly stacked on the draining board.

with
shelves stacked with boxes

be stacked in piles
Boxes were stacked in piles all around the room.

Stack is used with these nouns as the object:
box, crate, dishwasher, shelf