Have you tried right clicking on the HDD in Disc Management to see if you can format the drive?
If you can it has been removed without using the Safe Remove Option and if you need to get your data back you will need some Data Recovery Software. Depending on what is actually stored on the drive this may be worthwhile or it may not and you may be better off blowing away the Drive and formatting which will destroy your data to anything but a Forensic Recovery Program.
If you want to try to recover the data here is a list of some Data Recovery Software which may suit you
http://tinyurl.com/pfuhz
http://tinyurl.com/273ay5
http://tinyurl.com/afu2j
http://tinyurl.com/rmvrv
http://tinyurl.com/yvrsl
http://tinyurl.com/yyk8cm
http://tinyurl.com/382vm
http://tinyurl.com/3828kj
http://tinyurl.com/3bzddx
http://tinyurl.com/374d8b
http://tinyurl.com/djw6u
http://tinyurl.com/f73se
http://tinyurl.com/8bd3f
I can not say how well all of these work but they are the most common used Recovery Solutions. My personal preference is for the On Track Offering but it's not cheap but it's quick and good. I have heard good reports on Spin Rite and Stella but I've never actually used either.
The Win Hex Product is a very powerful tool but it's also very dangerous in the wrong hands. So if you do not know HEX inside out I would strongly advise you against attempting to use it. The risks of doing more harm that you cure is just to great.
Also if you have never done any Data Recover Previously you need to know [b]Never Write Anything to the Affected Drive[/b] as you will overwrite data that you are attempting to recover and make it unlikely that you can recover that data.
You need to save everything that you recover to a different HDD.
Also as you are using an external HDD you need to remember that these are for interment use and not constant use as the drives get hot and heat destroys HDD. The External Enclosures are not built for constant use and should only be used for backup and short runs not left on all the time.
Col