Mix of oil and water under pressure 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?
 A: EDIT
This is not an answer suitable for the question above, but I will leave it here for reference in case anybody else reads the question incorrectly, as I did.
END EDIT
Under standard conditions, hydrocarbons and water do not mix; however, at high temperatures and high pressures near the critical point of water, they freely mix. You need a lot of pressure
Oil and water are not miscible but can form emulsions in which tiny droplets of one component are dispersed in the other. Milk and  face creams, are examples of oil/water emulsions. 

Image Source: Wikipedia Critical Point of Water
When water is heated under pressure it reaches its critical point at 374 °C and 22.1 MPa. (3191 psi) At this point there is no longer a difference between the liquid and gas phases. The water no longer dissociates and no clusters of water molecules can form. At this point, the properties of the water are like those of an oil and the two can be freely mixed together. 
I don't fully follow your mug description, but whereever water flows, this mixture should flow also. 
A: I worked with a wide range of drilling fluids in the past and at the time they were water mud with oil in them and lessor times oil mud with water in it.  Daily, multiple times a battery of tests were run and analyzed by sometimes multiple people.  Pressures and heat were all part of the testing usually to do the opposite of the question.  We had to picture what was happening down hole and believe me at times there is plenty of pressure on an emulsion that is breaking down.  In the testing we found ALWAYS we needed to keep the pumps running and the pressure on so as not to go back to two phase which is just the opposite of what you hope can happen.  There was motion before or flow even.  It was just that the emulsion was always too strong to break and the added pressure from the flow just made that emulsion so much stronger.  I just do not see any way your premise could work.  It is imaginative and had me pondering it for some time this night.
A: Guest86  I understand what you are trying to do. I can get you part of the way there. As I stated before the testing I did in the past closely did the opposite of what you are looking for.  Just applying pressure and hoping a mixture would get through would never happen.  Now add a surfactant to help facilitate an emulsion.  Then quickly add your pressure and relieve it multiple times, many multiples.  An emulsion would definitely start near the meniscus between the two liquids and possibly create an emulsion deep enough to get to the bottom of the underlying liquid.  To get it to break out at the bottom to get the separated oil or water "depending on the weight of oil used" into the handle would be another matter but you may be on to something. I'm not sure of any useful application a success would have but it is your question and you may have one.  Just figure out how to break it out in a direction that is not the natural state.  Good luck with that one.
