chrome defaults to HTML5 which runs smoother and uses less bandwidth than flash. However, for things that are only flash - you would need to install a flash palyer or runtime. Adobe shockwave is most common and you can aquire it very easily and without the hassel of going through the adobe site via
https://www.ninite.com/
After installation, run chrome, go to whatever flash animation you wish to view.
It should be noted that flash should technically work on chrome already, though it is fading out of use.