Switchback

If you improperly subdivide the cross section, the mathematics of Manning’s Equation may cause a switchback. A switchback results when the calculated discharge decreases with an associated increase in elevation or depth (see Manning’s Equation for Uniform Flow in Chapter 6, and Figure 7‑13). A small increase in depth can result in a small increase in cross-sectional area and large increase in wetted perimeter and a net decrease in the hydraulic radius. The discharge computed using the smaller hydraulic radius and the slightly larger cross-sectional area is lower than the previous discharge for which the water depth was lower. Use more subdivisions within such cross sections in order to avoid the switchback.
Switchback in Stage Discharge Curve (click in image to see full-size image)
Figure 7-13. Switchback in Stage Discharge Curve
A switchback can occur in any type of conveyance computation. Computer logic can be seriously confused if a switchback occurs in any cross section being used in a program. For this reason, always subdivide the cross section with respect to both roughness and geometric changes. Note that the actual n-value may be the same in adjacent subsections. However, too many subdivisions can result in problems, too. (See Chapter 6 for more information.)