Blower won't turn off?

I have a 2001 BMW X5, 4.4i with 60,000 miles. I recently replaced the alternator. Two days later, I got into the car and started the engine. All was normal except that my environmental control panel indicated the AC was blowing FULL but there was no air from the vents. The compressor was working, and the rear fan was working and cooling. I removed two 7.5 amp AC fuses and they were good. The 50A main blower fuse is good. There is one interesting factor. I pulled one of the 7.5A ac fuses with engine running to verify it was correct fuse (compressor stopped) and when I replaced it the main fan started working. However, when I moved the car it stopped. It came back on once about 30 seconds later then stopped. Do you have any ideas about this issuue? Thanks JP

I've also got a 2001 X5 4.4i with a similar issue. Be advised that my wiring harness in the passenger side foot well has shorted out and melted causing loss of power to the fan blower motor. This might be your problem too!

The blower in myX5 suddenly stopped working. All the displays are functioning but no air is blowing. I checked the fuses in the glove compartment and they look ok to me. Never had this trouble before. Any Ideas?

The aircondtioner blower comes on when the car is turned off. The battery went dead and I replaced it but after 5 days it went down again. Itested the alternator with the car running and got 14.3 volts. I do not think it is the alternator causing the battery to die but the airconditioner blower coming on when car is turned off.