If the hard disk drive (HDD) is not formatted and does not contain any partitions then it will not show up in MY COMPUTER / COMPUTER.
Go in the DISK MANAGEMENT and reformat the HDD from there.
If the HDD also does not show up in DISK MANAGEMENT then the problem could be either with the HDD or the adapter or both such as:
-HDD is producing the clicking sound
-HDD doesn't spin at all
-burned HDD circuit/logic board
-burned adapter
-malfunctioned USB entrance in which you are plugging the HDD in
-the power connection between the adapter and HDD is unproperly set
(that is the most common problem since some IDE and SATA wires are badly
designed and sometimes needs to be reconnected or replaced by better ones.Here is an example of worse and better SATA wire connector):
WORSE:
BETTER:
On the worse one if you move the wires,the pins inside also move while on the better one they don't.Moved pins can cause the loss of power and HDD to stop getting power on a single second or more or not at all until the power cable is not reconnected properly again.
Also make sure that the SATA data cable is working properly.
Cheers!