My question deals with draws and if it is ever a good idea to raise when you're on one. Example, let's say after the flop, your on a flush draw, and if you hit you will be holding the nuts. If the person in front of you donks bets ( 10 c into a $1) he is giving you 11 to 1 odds. Now on your draw you only need 2.77 to 1 to call? Is a raise to about 40 or 50 c the correct call here?

As with most situations, it depends on your table/opponent/image. Are there players behind you? Did you raise pre or call a raise? Do you have overs? Are you going to get paid off if you hit? Have you been just calling with draws? Can you handle a re-raise? What are the stack sizes?

I tend to mix it up based on many factors.

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there is never a universal answer to these "how do you play these" type questions. Everything is dependant on multiple factors.

If your question is "is it ever correct to raise a draw" then of course. There are a number of situations that raising the draw can be a good play.

TsJs4c while holding KsQs you are raising for value basically.

3s 5s Tc while holding As6s you are raising partly for value and partly as a semi-bluff. That is a board unlikely to have hit anyone (especially since you hold the nut flush draw) so if they donk .10 into $1.00 then they could very likely hold airish hands that would fold to heat.

You can also raise to isolate in multi-way pots against what you think is a weaker draw.

Pretty sure u need more than 2.77 to 1 to call on a flush draw. 9 out of 47 cards means you have ~20% chance to hit on the next card meaning you are about 4 to 1 to hit.

If he is offering you 11 to 1 it isn't an automatic raise JUST because you only need 4 to 1. It is dependent on so many other factors, like position, number of players left to act behind you, stack sizes, type of players etc...

Everyone already hit it dead on so I won't beat it in any further.

If you have a strong draw such as straight flush draw with clean overs then you want to raise for value. In those cases you want your opponent to be playing for his/her stack and basically making it a coin flip.

In all other cases like everyone said it's based off of reads, table imagine, position and players left.

Just some general thoughts:
As previously pointed out you are ~4-1 to hit on the turn.

Calling ten cents with nobody behind is obviously profitable. For raising to be more profitable you need profitable outcomes - so he may fold more often than he should, a raise that he calls may tie him to the pot whereas he can fold early if you call and hit, you may get a free turn card with even a modest raise whereas a call would elicit another bet on a blank turn etc etc. Manipulate him into costly mistakes, whatever they are. If he will call big bets even when the flush draw hits, maybe a call is good (implied odds) but it depends on the pot size in relation to the stack sizes and other stuff.
So you say to yourself 'I am going to call/raise because' and then try to finish the sentence as best you know how. How much can you make if you hit? How well can you do if you don't hit? How much money can you get him to put in on the later rounds? How many decent hands can you get him to fold?
With other people in the hand (especially behind you) it gets more complicated but not terribly so. Just think through the hand and the various ways it can pan out.

What about a check-raise on a draw? Any time when you think this would be appropriate?

I imagine it could be profitably on a straight-flush draw(for value) or against a player who c-bets every flop(for added fold equity).

What's everyones opinions on that?

Also start reading strat forums example thread

I like to raise or re-raise on the flop with flush draws if I have position. The opponent may think I flopped two pair or a set and then he folds. If not, he may check on the turn giving me a free card. Finally, by betting he may not think I was on a draw, so if I hit it, he stays in the pot with me till the end.

Thanks for the info all.