The brake pad clearance is quite close and sometimes turning will result in a light scraping of the brakes against the rotor. If that happens it's usually an indication that the brakes are worn.
A wheel bearing can also be worn and be most noticeable when turning.
Faulty CV joints can be noisy when turning as well.
If you have oversized tires or non-standard wheels the tires can rub against the fender.
Unfortunately, I can't give you any more specific information without seeing/hearing the vehicle.
I'd try changing tires, worked for me.
bad rack and pinion
Maybe tirod end or ball joint Check strut bearings.
Are the breaks worn or have they been recently replaced and could need new rotor. check your wheel bearing as well. turning left puts more stress on the right side of the vehicle, this could cause the grinding noise.
broken motor mount(s)
It sounds like you have a bad CV joint. Often times the rubber boot covering the joint will go bad after a while and allow dirt and moisture in the joint, causing noise, most noticeable on turning.
the gear box may be going out or its metal on metal rubing somewhere
It depends on where the grinding noise is coming from. Most of the time the grinding is coming from the brakes and the brake pads need to be replaced. If they've been grinding for a while, the rotors will need to be resurfaced or replaced. Other possibilities for grinding are worn axle bearings, or a problem with the clutch. If the clutch goes out, there will be a grinding noise when you try to shift gears.
Its usually a U joint. Click under acceleration . While turning,a CV joint. Grinding or moaning is usually a bearing.
If the grinding is only while turning *not* while applying the brakes, I'd say check the CV joints? If it is while breaking, check your disc pads. Ina any event, good luck with it.
A small child
countershaft bearing could be problem