2003 Hyundai Santa fe, pump changed 3 times, last time Hyundai pump, reservoir, Hyundai fluid and both high and low pressure hoses. cooler is clear and flows free. Still have a whine.

sound like you have lost presure switch that is supposed to relive presure when presure is high or the belt is too tight putting presure on the bearing causing over heat or oil cooler restricted and not coolling the oil

You had work performed professionally & paid for that

Why do you still have ANY Vehicle problems?

Why wasn't ALL Necessary inspection,diagnostics,etc
done at one time & resolved?

We can't guess without seeing the actual vheicle

The power steering lines/hoses go to the steering rack (they go past the alternator).

Try flushing the fluid,which you should be
doing every 3 years
Add a bottle of Lubgard for power steering or
what ever the dealer has
Use the correct MFG Fluid

Eventually you will replace the pump,
when you can no longer stand the noise.

Then steering rack most likely is about to fail
from not changing the fluid and is causing stiffness
and high pressure thus the noise

I think you have a failing fuel pump, the fuel pressure check valve (part of the pump) is defective is my guess

The washer pump is located in the right front fender, mounted infront of the wheel. Remove the front portion of the wheel well splash cover to gain excess. This pump does the work for the front and rear washers. Verify that the pump is working and then check for a pinched hose.
However, if you hear the pump working,as you say, open the hood and take the hoses off the squirter nozzles to see if there is good flow of fluid. If there is, then your nozzles are plugged. You may be able to clean them out with some air pressure. Careful working with the nozzles, as they are plastic and break easy.

Steve

Not really expensive just messy to repair. Return lines (low pressure) are much more common and they travel along the frame rail on the right side of the subframe from the power steering rack to the cooler line in front of the radiator. The high pressure line starts at the pump and travels over the top of the motor to the back side (it's a thick line with a big banjo bolt at the pump). They go too but less frequently.

If it's the return line and not the pressure line you can cut it and put some rubber hose from the parts store over the cut part with a couple clamps and that'll hold you for quite a while till you can get the line and get it installed.

The return line, done correctly, can be a bit of a bear on the ground but it's fairly quick in the air on a lift at a garage. The pressure line isn't too bad and can be undertaken by the home mechanic.

HI check your power steering oil pump reservoir filter screen this seats at the bottom of reservoir is probably plug .it can cause the pump to aerate if thats your case replace reservoir.for proper inspection of reservoir completely empty it and check. hope this helps.

CHECK INJECTOR LEAKAGE
COMMON FAULT WITH BOSCH INJECTORS

there is a screen filter on the washer pump suction line where it draws cleaner from the fluid reservoir, it must be plugging up, this is very common.