NRES/GEOL 414/614 Hydrologic Fluid Dynamics Fall Semester 2014 Homework #7 Due November 3, 2014 1. Do Problem 7.37 with =9810 N/m3. Ae is the area of the nozzle that has the exit velocity given. Assume that the velocity at the hydrant is negligible since the pipe supplying the hydrant is so much larger than the firehose. 2. For the 50-mm diameter siphon drawing oil (S = 0.82) from the oil reservoir as shown in the figure, the head loss from point 1 to point 2 is 1.0 m and from point 2 to point 3 is 2.5 m. Find the discharge of oil from the siphon and the oil pressure at point 2. Assume  = 1 at all locations and w = 9810 N/m3. 3. Do Problem 7.43. Note that the “head loss from the venture meter to end of pipe” occurs from where the water leaves the reservoir to the end of the pipe. 4. The pump shown is 80% efficient. If the pressure rise is 825 kPa, calculate the required energy input in horsepower. 5. Do Problem 7.87. Assume the pump is 100% efficient and use  = 62.4 lbf/ft3. Be sure to indicate the distance between the HGL and EGL. Also notice that there is an abrupt expansion where the pipe enters the upper reservoir. Grad student special problem #1 Do Problem 7.44. Assume velocities in reservoir and river are essentially zero for the energy equation, but for the rise of water in the tank, velocity is essentially dh/dt where h is the height of the water in the tank. Recall that total hL is due to both abrupt expansion and head loss in the pipe. Grad student special problem #2 Do Problem 7.91. When plotting the HGL and EGL, be sure to indicate the distance between HGL and EGL.