Symptoms: (video link below)

• Loud whining / supercharger-type noise
• Noise increases exactly with RPM/throttle
• Gets noticeably louder when turning steering wheel
• Steering stiff/heavy while parked
• Light vibration felt through pedals
• Noise seems strongest during steering input

Does this sound like a failing power steering pump? What else to check? Is this the replacement part here 19420676

 

Have you checked the fluid level? Sure sounds like it's low on fluid.

 

yes power steering fluids were low and changed it 10 days ago, noise went. Now its back again.

 

Well it sounds like you're losing power steering fluid.... Obvious answer is to find the leak and fix it.

If you don't see anything obvious, like any lines that are wet, and if the underside of the power steering gearbox is dry as well as the pump itself.... reach behind the master cylinder put your hand under the back of it where it meets the hydroboost unit. There's a weep hole underneath. If your hand comes out wet, you found it. You can also get underneath and look straight up, you'll see the weep hole on the underside where it meets the master cylinder. Pretty common point to have a leak on the hydroboost system when it's due to be replaced. It's not too bad of a job replacing it. You can do it with leaving the master cylinder connected to the brake lines.

We always have a list of what to do "while you are in there"....
Perfect time to replace your power steering hoses.

 

also make sure the lines going to the power steering cooler in front of the radiator are not leaking or the cooler itself.

 

WOW... That is loud as hell. At the start of the Video when in front of the grill..... It sounded like a Pulley rubbing on something. What is stated above is probably what it is since I'm not and expert on the older HUMMER'S..But at a few points in the video it sounded like a Pulley rubbing on something or something in the serpentine assembly.... BWTFDIK...