There is a sound typically associated with a bright flash of light, which starts with a lower whirring noise, then breaks into a higher pitched sound. What is that type of sound called? I'm not sure how to begin searching for that, so a typical name for it would be very helpful.
Don't really think there's a name for either the "blue chakra rising" or the "zoom in on eyes" effect. From what I can tell, the first is a waveform (maybe saw or triangle) that has a high pass filter with the cutoff frequency being swept up.
The second sounds like it uses a multi oscillator with a triangle/saw waveform and a noise wave which again uses a high pass filter with the cutoff frequency being swept up. The noise wave creates the sort of "whoosh" windy sound.
I am by no means an expert, but that's what it sounds like just for starters (along with a bunch of other effects, reverb, compression etc).
To demonstrate this go here: http://www.bfxr.net/
Change the wave to saw or triangle, set the "frequency" to low, the "frequency cutoff" all the way to the left and slowly increase the "frequency slide" towards the right.