##Yes, you know when concentration ends##
Yes, you know when concentration ends
The other answers say there doesn't seem to be anything in the PHB explicitly about whether you sense anything when a spell ends. Therefore, does it say anything implicitly?
Implicit Proof Ad Absurdum: If you weren't aware of whether your spell ended, then you wouldn't know to recast Haste when the target died, or recast Tasha's Hideous Laughter when the target took damage. You wouldn't know, so you would continue your concentration on such spells, and would be less likely to cast them. This is absurd and game-changing. Therefore, you are aware of when a "spell ends." Therefore, you are aware if spells you are concentrating on end.
For the same reasons, you know when your concentration ends (i.e., if you didn't then you might want to keep casting Haste every round, just in case, which is absurd.)