I installed chrome for the sole purpose of using its built-in flash player for streaming webpages that require flash. I noticed that after a while, my mbp heats up quite a bit and about 1 min after i quit chrome, it cools back down to normal.
I don't you Chrome, but I'm guessing that Chrome is more intensive on the CPU and GPU than Safari.
What are you streaming exactly? HD videos? Do the fans kick in?
It's totally normal for the laptop to get hot a little when streaming video, but the fans shouldn't kick in.
If your computer does not turn off by itself it is not overheating.