No sir, not a homework problem. I operate a propane recovery gas processing plant for a living. We recently added an extra line that dumps NGL into the demeth tower at a lower point in the tower after leaving an exchanger. Dumps into the trays of the demeth tower to be correct. The engineers at my work modeled that if all NGL is dumped at that section in the tower, there would be no need to have reflux put on the tower. Reflux dumps into the tower st the very top as a cold vapor of -160 degrees Fahrenheit.
Their model turned out wrong cause when you take the reflux off the tower and go all the way on the new dump line, my Dry BTUs of the residue gas leaving the top of the tower start going up to 1100, which means I'm losing a percentage of propane out the top of the tower. I start going from 96 percent recovery to 89 percent recovery. I was just wondering why the engineers model didn't fit that reality.
I have a bachelors degree in mechanical engineering, I would try to do my own control volume analysis but there's a lot of information I don't have like thermodynamical properties of NGL; I'm sure there are rough values for it even though it's a mixture of heavy gases.
The only sense I can make out of the reality of it is that we are dumping extremely cold NGL closer to the bottom of the demeth tower which has been running at a temp of 85 to 95 degrees. When that cold NGL hits the warm/hot NGL it causes a lot of the propane to flash off and go out the top of tower. The reflux needs to be there to catch the flashing propane and bring it back down to the bottom where I need it. There model explains the reflux not needed. It's like they got it backwards on the model.