CIV E 530 - OPEN-CHANNEL HYDRAULICS
SPRING 2005
HOMEWORK No. 1

Given a pipe with diameter do = 1.53 m, slope S = 0.005, and Manning n = 0.013.

  1. Calculate the discharge Qo when the pipe is flowing full.

  2. Derive expressions for flow area A and wetted perimeter P in terms of angle θ and radius r.

  3. Calculate and plot the discharge Q when the pipe is flowing partially full, at intervals of one-hundredth of the pipe diameter do.

  4. Print a table showing the following hydraulic variables at intervals of one-hundredth of the pipe diameter: y/do, y, θ (radians), θ (degrees), A, P, Q, and Q/Qo.

  5. Use the table to solve for the discharge Q at y = 1.0 m.

  6. Verify your results of items 1 and 5 with GRAVITYPIPE in http://onlinecomp.sdsu.edu

  7. Using GRAVITYPIPE, find the maximum discharge and its corresponding depth, and verify your results of item 4.