Flash and Java plug-ins in Chromium lost after upgrade to 14.04
The Chromium maintainer announced that Chromium is going to experience 'growing pains'. Several things will be breaking.
Regarding flash, you will need to install the pepper flash plugin instead
sudo apt-get install pepperflashplugin-nonfree
sudo update-pepperflashplugin-nonfree --install
Give the Pepper Flash Player for Chromium a try:
sudo apt-get install pepperflashplugin-nonfree