Name: __________________________ Red ID: ______________________ Grade: ___________

1. (20%) Route the following inflow hydrograph using the storage indication method:

   Time (hr)	0	1	2	3	4	5	6	7	8	9	10	11	12
   Inflow (m3/s)	10	20	50	80	90	100	90	60	50	40	30	20	10

   Assume baseflow is 10 m³/s, K = 4 hr, Δt = 1 hr.

2. (20%) Given the following inflow hydrograph to a certain stream channel reach, calculate the outflow by the Muskingum method.

   Time (hr)	0	3	6	9	12	15	18	21	24	27	30	33	36
   Inflow (m3/s)	100	120	150	200	250	275	250	210	180	150	120	110	100

   Assume baseflow is 100 m³/s, K = 2.4 hr, X = 0.1, and Δt = 3 hr.

3. (20%) Use the Clark method to derive a 3-hr unit hydrograph for a catchment with the following time-area diagram:

   Time (hr)	0-3	3-6	6-9	9-12
   Area (km2)	57	72	39	15

   Use K = 3 hr, and Δt = 3 hr.

4. (40%) Please answer each question in one clear-and-concise paragraph:
   

   • In reservoir routing, when the inflow and the outflow coincide, the outflow is a maximum. Explain why.

   • In reservoir routing, there is no apparent lag between the start of inflow and the start of outflow. Explain why.

   • What is McCarthy's contribution to hydrology? What is Cunge's contribution to hydrology?

   • What is Seddon's contribution to hydrology? What is Hayami's contribution to hydrology?

   • Explain the difference in rating curves between kinematic, diffusion, and dynamic waves.

   • Why does the time-area method overestimate the flood peak?

   • What is the difference between the original Clark unit hydrograph (1945) and Prof. Ponce's version (1989)?

   • Explain the role of vegetation on infiltration.