College of Civil Engineering INS 361E – Hydraulics Civil Engineering Department CRN 12224 Deadline: Midterm-1 HOMEWORK – I Student Number : Name – Surname : 1) Spill of water from diversion dam which has Q=150 m3/s as prototype discharge will be examined. a) Which type model will be used? Why? b) What is the discharge of the 1/20-scale model? c) The velocity was measured as 3 m/s in the model. Which velocity corresponds to 3 m/s in the prototype? 2) The water surface elevations of A, B and C reservoirs in the three reservoir system are given as shown in Figure. Discharge of AD pipe QAD=100 l/s and take only loss in the valve as local losses. Calculate the energy loss in the valve needs to be broken and draw the energy line of the system. Pipe AD BD CD Length (m) 1000 500 1500 Diameter (mm) 300 300 400 Discharge (l/s) 100 ? ? 100 m A f 0.02 0.02 0.02 100 m B QAD 75 m D Valve C College of Civil Engineering INS 361E – Hydraulics Civil Engineering Department CRN 12224 Deadline: Midterm-1 HOMEWORK – I Student Number : Name – Surname : 3) The water surface levels at the A and C reservoirs are respectively zA=100 m and zC= 70 for the given three-reservoir system. Reservoirs A and B are feeding reservoir C and QA = QB. Calculate the water surface level of the reservoir B. Draw the energy line of the system. The physical characteristics of the pipes are, Pipe AD BD DC Length (m) 500 1000 1500 Diameter (mm) 150 200 250 f 0.03 0.02 0.03 𝑝𝐷 𝛾 4) Calculate the discharge which pass from the cross section with floodplain. Take slope of the channel bottom as I0=0.0005 and k=40.