Just because I'm sick of seeing the liquids-outrunning-solids-on-steep- slopes myth on the net....
I raised my hand wondering about the problems that would be encountered. My mind was abuzz with whether my father was right, or the plumbing inspector was right. I asked, "If you pitch the pipe too much, won't the liquids run away from the solids, resulting in an increased amount of stoppages?"
The professor started laughing as I tried to disappear under my desk. He said, "You're a plumber, right?" He already knew I was because we had talked about it many times. "Yeah," is all I could say.
"I don't know why they always teach plumbers that myth. Maybe it is because they want them to install perfectly aligned sewers."
Of course, I found out that the professor was setting me up. This lead to the presentation of a new equation. The equation calculated the minimum flow rate to keep solids in suspension in a sewer system. The inverse of the equation calculated the maximum pitch before the liquids ran away from the solids. Of course, the answer to the maximum pitch was infinity. In other words, you could never reach that point.
Then the professor asked, "What is the maximum pitch we could have for a project?" That one's easy -- a vertical stack! "Yeah, and in a stack, the solids land at the bottom first." Excuse me?!
"You got it, the solids land first and the liquids come along and pick them up and carry them down the drain."
Most of the students just took this all in. Me, my eyes were bulging. This was mind-blowing stuff. All I could do was think back to that sewer with the 350 feet of distance and 150 feet of vertical drop. The professor just told me (indirectly, of course) that we didn't have to put in one of those vertical drops.
If I knew then what I know now, that sewer would have been 2 feet below grade pitch straight down that hill. The sewage would have been humming when it hit the public sewer connection.
I have long since forgotten that equation. But I learned an important lesson. More than 25 years later, some plumbing instructors are still teaching that if you pitch the pipe too much, the liquid will run away from the solids. But all of you know better.
As for that 3-inch pipe, you can pitch it 1/8 inch per foot without a problem. Of course, at 1/4 inch per foot the flow will run faster."