My first post to the group, for what that is worth.
My alternator belt broke on my 2001 Elantra. I replaced the
pump (which needed to be replaced) as well as the belts. After the belt
broke I limped along for a few miles which may provide clues as well.
After installing the new pump the car now has fluctuating operating
temperature. It is normal when moving but rises when idling.
Additionally the A/C blows cold when I first start operating the car but
fairly quickly stops cooling.
I suspect that the broken belt may have caused some secondary damage. I
want to get in with a flashlight and do a visual inspection after the
sun goes down this evening, but I am seeking advice as to the likely
culprits in this scenario.
Perhaps it is just a coincidence that these new problem arose when they
did, but it seems unlikely.