Will an increasingly narrow pipe create pressure?

[kaleidoscope]

If there is a leveled pipe that gets increasingly narrow, the fluid in it will gain speed/momentum, right? Can you use that extra speed to lift the water (create pressure)? What equations would describe this?

 

[rcgldr]

The fluid's pressure will decrease at it gains speed. At the end of the increasingly narrow pipe, you could have a narrow pipe that curves upwards to accelerate the moving fluid upwards. The limit on how far upwards the fluid can be moved depends on the initial pressure and kinetic energy of the fluid before it entered the narrowing pipe.