Hello, once the power steering reservoir goes low or empty, air gets into the motor and causes a high pitch whining noise.
Once fluid is added to the system the air is not immediately purged from the system. For air to properly bleed from the pump, you must start the car for a few seconds, turn the motor off and let it sit for 5 - 10 minutes. Repeat a couple of times, you will notice it getting quieter. If it is still noisey damage occured to the pump's bearings from lack of lubrication, and will need replacement.
That brings us to why was the res. empty. Raise the car and inspect all the hoses, lines, fittings, Rack and pinion and pump.
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I hope this helped if so an accept is appreciated.