CIV E 530 - OPEN-CHANNEL HYDRAULICS
SPRING 2005
HOMEWORK No. 2
- Given a trapezoidal channel with bottom width b, flow depth y,
and side slope z (z horizontal to 1 vertical).
-
Develop a general formula for flow area and wetted perimeter as a function of bottom width, flow depth, and side slope.
-
Calculate, in 5% increments of flow depth, the following variables: flow area, wetted perimeter, hydraulic radius, top width, and hydraulic depth.
-
Test your program with the following data sets:
Shape | Bottom width (m) | Flow depth (m) |
Side slope z (z H : 1 V) |
Trapezoidal | 20 | 2 | 3 |
Rectangular | 20 | 2 | 0 |
Triangular | 0 | 2 | 2
|
- Given the following data measured in a cross section in an open channel,
calculate the velocity distribution coefficients α and β.
Element | Flow velocity (m/s) | Incremental flow area (m2) |
1 | 2.8 | 10.0 |
2 | 2.5 | 16.5 |
3 | 2.0 | 19.2 |
4 | 1.5 | 23.0 |
5 | 1.0 | 22.1 |
6 | 0.5 | 10.7 |
|