Computers do not recognize my WD My Book Essential

Joe: No it does not show up at all in Disk Management. 

So, practically speaking, what does a “corruption issue” mean for me? 

It is just a coincidence that it stopped working almost immediately after I connected it to my new computer?  Could there be something about Windows 8 (or something else with the computer) that is causing this.  There were no problems at all when I was using it with my old computer.