Can you feel the drive spinning? How does it appears in Disk Management? Can you see it in My Computer?
If it doesn't spin up, or it is trying but it is not recognized, then IMO it will be best to contact a data recovery company and see if they can help you out to recover your information. Here's a link you can take a look at with few WD recovery partners:
However, if it is recognized and spinning you can try to access the content with Linux Live CD. All you have to do is just download/burn the ISO image to a CD or USB and change the boot order to the media you burned the Linux on. Once it loads, you could try and mount the drive (or if Linux can read it, it will mount by itself) and see if you can transfer the files from the external.
Hope this helps and let me know how it went. Feel free to upload some screenshots from Disk Management and My Computer as well so I can take a look at them too.
Well, I finally did it. After working on computers since 1978, I finally managed to spill a coke all over my desk, keyboard, and on the floor next to my desk, and, my older generation Western Digital external drive. It had a screened top, and it wasn't until later that I realized the coke spilled over the side and seeped into the disk drive. surprise! it no longer works. Any suggestions