How do you purge air from the pump?
You did use the correct trans fluid designed for your car? There are different makers and many types that it can become confusing.
Here's what I do anytime I change the fluid and filter. After you fill it up, start up the car, and then cycle the trans from drive to reverse a few time. Let it run to warm up, then once up to temperature, cycle the trans again, then while running & warmed-up, check the fluid level on the dip stick. It may be hard to read the level with fresh fluid in it, but you should then get a level reading. Take the car out on the road and use it, do a few good downshifts using the gas pedal to drop it down. Get the fluid flowing. Then check your fluid level again once home -car running. Then let it sit as you have been and see if you have problems.
Whining in my experience is due to a low level of fluid. Also check your power steering fluid level (if you have it) to make sure that level is full as well. A steering pump will also whine if low and can go away once it warms up. Make sure you are not hearing the steering pump and not the trans.
, you may have a more serious problem. This blog on-line explains it better than I can, but have had this experience personally. "Several transmission techs on-line told me that new ATF fluid is high in detergent and new fluid may have changed the viscosity of my trans fluid as well as stripped the varnish layer on my internal parts which has caused it to start slipping. Lack of regular service allows all the "crap" to build up in the planetaries and clutch packs, and it actually does hold the transmission together, to a certain extent. Unfortunately, it also wears the plates in the clutch packs smooth.
Frequently the worst thing you can do is freshen the fluid on a tranny that old, especially if it has never been serviced, because you flush out all particles that allowed the clutch packs to mesh, and have friction. At that point, you have clean viable fluid, but nothing to mesh the clutch packs, and it slips because they are worn smooth. All they really are is a stack of metal plates."
A friend had a Ford Taurus that had trans problems which had not been serviced at all. The trans began to act up. We took it to an AAmco shop looking to have the filter/fluids changed. They were highly against it because after they test drove it, said if they do the work, the new fluid may wipe away what little friction material was still making the trans work and the car may not leave the shop under its own power as the trans will simply be slipping. They suggested just keep running it and put some additives in it until it eventually quit and needed a transmission rebuild or just schedule a rebuild before it quit. But, they did not want to touch it as they already knew what could happen -and I suspect it must be difficult explaining to a customer that their car that came in there won't move and technically it wasn't anything the did as the trans was shot.