the original post stated that an 8 inch pipe would transition to an 18 inch pipe in a manhole. This is an unlikely scenario. Standard practice for design would be to transition in increments. Usually 2 or 3 inch increments which is the smallest manufactured for most sewer pipe. Even if you had 2 8-inch pipes coming in, you would probably only jump to a 12-inch going out.
The transition between pipe sizes is done in a manhole, which is typically about 3 or 4 feet in diameter, and often with a mandatory drop in elevation of 1 or 2 tenths of a foot. This drop is formed by sloping the channel in the manhole base and isn't generally an abrupt drop. This provides a very gradual transition and minimizes headloss and turbulence, regardless of whether you are matching crowns, inverts, centerlines or otherwise.