PDF files are not downloaded while using Chrome. 

It seems like this is a Chrome settings issue, where if you use the Chrome PDF viewer instead of Acrobat PDF viewer, you may experience various issues related to PDF view & / or download.

Please follow the steps below and please confirm if this addresses your issue

1) In Chrome address bar, type chrome://plugins 
2) Disable Chrome PDF Viewer (marked in second red box from top)
3) Enable Acrobat Reader (marked in the third red box from top)

The above steps are as shown in the Youtube video link pasted below. The same instructions are also marked on the screenshot attached.

Youtube-

Screenshot-

Inline image 1