1999 v70 XC AWD.
I've duct taped this hose (circled in red; there is a second lower clamp not shown) one too many times.
It's the original hose (230,000 miles) and is ready to be replaced. It's a heavy duty woven mesh and rubber type of intake hose.

Can anyone tell me what part to ask for when ordering online?

 

Hi and welcome to the forum.

It's the intake tube that goes to your TURBO. So, maybe the turbo intake tube.

 

It's your Turbo Air Intake Tube. Easy to get and repair, good luck.
Pete