CEE634-SURFACE WATER HYDROLOGY
SPRING 2001
HOMEWORK NO. 1

  1. Derive Eq. 4-36 in the book, i.e., Horton's solution for overland flow.

  2. Express Horton's solution such that q/qe is the independent variable and t/te is the dependent variable.

  3. Using the equation derived in 2, calculate and plot Horton's solution at intervals of 0.01 q/qe from 0.00 to 0.99, then 0.999 q/qe and 0.9999 q/qe.

  4. Given the following overland flow conditions: i = 36 mm/hr, n = 0.1, So = 0.01, and L = 90 m; calculate the equilibrium outflow qe and the time to equilibrium te.

  5. Using the data of item 4 and the equation derived in item 2, calculate how long will it take for the outflow discharge from the overland flow plane to attain 50, 90, 99, 99.9, and 99.99 percent of its equilibrium value.
Assigned: February 6, 2001
Due: February 15, 2001
Late: February 22, 2001.