Problem 11-1

Given the following inflow hydrograph to a certain stream channel reach, calculate the outflow by the Muskingum method. Assume K = 1 h, X = 0.2, Δt = 1 h. Report peak outflow and time of occurrence. Use a spreadsheet and verify with ONLINE ROUTING 04.

Time (h)	0	1	2	3	4	5	6	7	8	9	10	11	12	13
Inflow (m3/s)	12	30	50	100	145	160	140	75	55	45	35	25	15	12

Problem 11-2

Given the following inflow and outflow hydrographs for a certain stream channel reach, calculate the Muskingum parameters K and X.

Time (h)	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17
Inflow (ft3/s)	2520	3870	4560	6795	8975	9320	7780	6520	5340	4105	3210	2520	2520	2520	2520	2520	2520	2520
Outflow (ft3/s)	2520	2643	3598	4500	6367	8295	8900	7971	6808	5628	4439	3482	2782	2592	2540	2525	2521	2520

Problem 11-3

A large river of nearly constant width B = 300 m is seen to be rising at the rate of 3 mm/h. At the observation point, a stage measurement indicates that the current value of discharge is 1175 m³/s. What is a rough estimate of the discharge at a point 20 km upstream?

Problem 11-4

Solve the Muskingum-Cunge method of flood routing for a triangular inflow hydrograph, with routing parameters based on peak flow. Use the following data: peak discharge = 1110 m³/s, baseflow = 60 m³/s, time-to-peak = 7 h, time base = 21 h, channel bottom slope = 0.001, flow area corresponding to the peak discharge = 440 m ², channel top width corresponding to the peak discharge = 115 m, rating exponent β = 1.58, reach length = 14 km, time interval Δt = 1 h. Report peak outflow and time-to-peak. Use a spreadsheet and verify with ONLINE ROUTING 05.