Since the announcement of Jelly Bean, Adobe has come forward reiterating that Flash Player will eventually not be supported on mobile devices. In fact, they just posted in their blog and made it clear that Flash Player is not supported at all on Google's new OS Android 4.1/Jelly Bean. Of course, older devices, or devices that come pre-loaded with Flash and have been certified by Adobe will still function with Flash. In the past, all you had to do was grab a copy of flash player from the Google Play Store and it would probably work with your uncertified device.
Unfortunately, Adobe confirmed that with the release of Android 4.1, they will not certify any device with that OS. Additionally, Adobe indicated that on August 15th, it will configure Flash Player currently in the Play Store to only update devices that already have Flash installed. If the device does not have it installed, then it will not be authorized to download it from the Google Play Store. Additionally, Adobe shared that any device that is upgraded from Android 4.0 to 4.1 will still have Flash Player, they recommend uninstalling it because it will be buggy. It's possible this is mostly a scare tactic, and it may still be mostly functional. Of course when we get to that point in the road it will probably be possible to find the APK online.
By Garemlin at TransformerForums