Strange noise coming from somewhere in engine bay

[nitronic12]

I'm running an auto v6 '05 Calais and something strange is happening when I accelerate.
If the steering wheel is turned significantly and i accelerate reasonably, there's a strange "whisking" sound coming from somewhere infront of the drivers seat. If I let up on the accelerator the whisking stops, and if immediately put my foot back down the sound doesn't come back.
Also when driving up a hill the same thing happens without turning the wheel. This usually happens around the 60km/h mark and sometimes doesnt let up when I take my foot of the gas and reapply.

Honestly I have no idea what is causing it or what would have started causing it as I treat my car like my baby and never do anything stupid in it. Judging by logic I'd assume it's something wrong with the clutch or transmission, but I honestly hope that isn't the case, or it's not something significantly bad.

Any help would be appreciated, especially if anyone else has experienced the same thing.

[CapriciousWL]

At the risk of being flippant, turn up the radio. In some cases there is a whine from the alternator that is induced into the stereo. If it increases with the radio up and vanishes with the radio offnyou may need a supressor or something magical done to the alternator.

Possibly a rubbing belt would be another option. Visually inspect any belts for signs of perishing.

Otherwise, you have run over a master chef contestant.