I'm not a physicist so please ignore my ignorance. I'm wondering what would happen if: Imagine a mug with hollow handle. Now, one half of that mug is filled with water, another half with oil (of some kind). If i seal that mug and apply a lot of pressure on top (where the opening is), taking into account oil and water have different characteristics would oil start flowing through handle and back to the surface or simply nothing would happen?
EDIT: Basically, my idea was without high temperatures - would high pressure cause oil to perhaps heat a bit, expand a bit and start flowing through handle to the bottom of the mug (literally, a mug shaped container) and then back to the surface? Would a high static pressure be enough to create a motion of oil through the water taking into account different properties (and possibly different reactions to pressure) of those different liquids?