@RPh_Guy described it about the best anyone could. I'm not even sure how to describe that. You can almost smell the tartness/lactic acid that is created. You'll definitely notice a change in aroma, it's quite obvious.
For a kettle sour, you shouldn't be aerating the wort so you didn't do that wrong. My process is usually as follows...
1. Perform mash, sparge and lauter as usual.
2. Once you have pre boil volume in kettle, perform a short (10 min) boil.
3. Chill the wort down to your desired temp. For me, I always use Omega Lacto (OYL-604 I think) so my temp is usually right 93*F.
4. Pre acidify to 4.0-4.4 pH with lactic acid.
5. Pitch 1 packet of Omega Lacto per 5 gallons
6. Cover with sanitized plastic wrap and tinfoil.
7. Let sit until desired pH is reached, usually 36 hours is enough to hit my 3.1 - 3.2
8. Proceed as usual.