Hey there, Radi.
So I gather this is not a new drive? Can you hear the drive spin-up or feel it vibrate when you start the computer? Did anything in particular happened, which could have led to this? Did you have any issues with the HDD prior to this happening - any unusual sounds/noises coming from the drive, slow read/write speeds, etc?
I'd recommend that you try the drive with a different computer, or at least with a different SATA port and cables on yours, to see if the same thing happens. If the drive shows up in the BIOS or Disk Management, go ahead and download the HDD manufacturer's diagnostics tool and test it, to see if there's anything alarming. However, if the drive still doesn't show up, there's no point of trying the diagnostics tool as it won't be able to recognize the drive if it's not even by the BIOS.
Judging from your post, I assume you don't need to recover data, so I'd suggest that you check if the drive is still under warranty and if it is - try to RMA it (of course if none of the above proves useful).
Please let me know how everything goes.
Boogieman_WD