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 either a spreadsheet or 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 = 600 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 1250 m³/s. What is a rough estimate of the discharge at a point 10 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 bed 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 either a spreadsheet or ONLINE ROUTING 05.