Thank you for the responses. The scene with the snake is brief, but it's important because it shows a lot about one of the characters. I've studied snakes a bit, touched them, but haven't seen a feeding--really don't want to. So I'm especially appreciative of your help. I'm still a little confused on an aspect of the process.
Does the snake hold the prey down with it's mouth, then begin the constricting process? I'm having trouble seeing how there would be much space on the prey's little body for the snake to wrap around if part of the prey's body is in the snake's mouth.
I used to breed corn snakes. Love them critters!
Anyway, mine were fed either freshly killed or frozen/thawed mice, as mentioned by someone else upstream. Mine would always strike and constrict, even though the prey was dead. The strike/constrict takes about 1-2 seconds...and it's fascinating to watch if you can put your objective, chain-of-life hat on for a moment.
This video shows the strike/constrict, right at the 4-minute mark (so you don't have to watch the whole thing).
WARNING: THIS VIDEO IS A SNAKE BEING FED A FROZEN/THAWED MOUSE. DO NOT WATCH IF YOU ARE SNAKE-AVERSE. I've posted it to help the OP, not to gross anyone out. Anyway, if you bring yourself to watch it, it will give you an idea how fast the strike/constrict is.
Also, the person putting the rodent (which will be young--I don't want it to fight back against the snake) in the tank really doesn't want to feed the rodent to the snake, so she puts it in the corner by the snake's tail (not near the snake's head). Does this time frame and process work? Twenty seconds for the snake to turn around and get the prey's head in it's mouth. Prey almost disappears as snake wraps around it for thirty seconds. Snake opens and closes mouth four times as more and more of the prey disappears into snake, until the rodent cannot be seen, just a small bump on the snake's body.
WARNING: MORE LANGUAGE AHEAD THAT MIGHT BE GROSS FOR THE SNAKE-AVERSE. IF YOU DON'T WANT TO READ DETAILS ABOUT SNAKES FEEDING, STOP READING NOW.
You're fine with any amount of time for the snake to discover and decide to strike the prey. It can be instantaneous or it can take minutes. (Even longer if the snake doesn't happen to be hungry, which is why it's not recommended to feed live prey, but that's not relevant to your story.)
Now, if the rodent is properly sized for the snake, it'll usually take longer than 30 seconds to position and 'down' it. Probably more like one to several minutes. It's nothing like you describe of gulping it down in four.
It goes down in relatively small increments (relative, that is, to the size of the snake and the prey). Once past the throat, it takes quite some time (hours and even more for large snakes) to proceed the rest of the way down.
If you need the initial swallowing to be that fast for story reasons, you can make the prey smaller than it should be.
If the prey is small relative to the snake's size, it will make a small (to nearly non-existent) bump. If it's the proper-sized prey, the bump will be more than 'small'. It's essentially the size of the mouse only slightly crushed.
I hope none of this grossed you out. I'm not trying to do that.