Test 320ie90 BMW water pump

6 years different and a different series? If only life was that easy!

Some BMW have a mechanical pump driven by the serpentine belt, and some have an totally electric powered pump.

Just buy one for the model you have.

https://www.google.com/search?q=2012+BMW+535i+water+pump

or

https://www.google.com/search?q=2006+BMW+330i+water+pump

Rock Auto are a good suppliers, have images and different makers and 'qualities'.
https://www.rockauto.com/en/catalog/bmw,2006,330i,3.0l+l6,1431850,cooling+system,water+pump,2208

..

have a coolant system pressure test done and look for leaks at the welsh plugs, water pump hole under water pump, heater core inside

2006 bmw 530xi have a electric water pump (next to the thermostat). Common to go bad. There should be no heat in the car and "overheating" pops up. Electric water pump $495.00

Check out this article:
Diagnosing BMW water pump problems.
It will help you. :)

I would suspect that you pulled a wire off when you were installing the water pump. Check to see if you have spark

you may have bad waterpump,the impeller on pump may be borken, just because it doesnt leak doesnt mean its good.also could have exhaust entering cooling system (bad headgasket) if pump is good have a block test done.

Removing alternator drive belt, refer to Engine.
Release the belt pulley from the water pump.



Drain coolant.
Release water pump.



Insert two M6 screws in water-pump thread and press out water pump evenly from gear case.



Installation:
Replace sealing ring.

you might have a blown head casket try due a pressure test on each cylinder and sometimes you can take a spark plug out 1 by 1 and just tap the ket so it cranks and see if water comes out of the cylinder