Unity WebGL not running in Chrome 47

I have discovered a very interesting bug related to Unity WebGL applications operation in Chrome 47.0.2526.106 m.

Whereas WebGL works in the browser, Unity WebGL applications don't.

For instance, a "SMASHING Mega Scene" Chrome Expirement runs well, but Angry Bots WebGL demo alerts "You need a browser which supports WebGL to run this content. Try installing Firefox" and closes the tab afterwards.

At the same time, the demo runs in Firefox on my machine.

Furthermore, most of my friends have no issues running the same WebGL demo on their machines with the same version of Chrome.

Is it a known issue? Has anyone fixed it successfully?