Name: ___________________________ S.S. No. _______________ Grade: _______

 

1. (20%) An inlet warped-wall transition will be designed in the Alamar project to join a trapezoidal channel of bottom width 92 m and top width 108 m, to a trapezoidal channel of bottom width 30 m and top width 42 m. What is the length of the transition?

2. (20%) A hydraulic jump occurs in a rectangular channel in which the upstream depth and velocity are 0.3 ft and 15 fps, respectively. What is the sequent depth? What is the length of the jump?

3. (30%) A closed conduit of 2 ft diameter is used to convey water from a reservoir, through a turbine, and then to another reservoir. The difference in water surface elevations between the reservoirs is 2500 ft. The conduit is 3 mi long and has one 45^o bend with r/d= 4 and another 90^o bend with r/d= 2. The turbine has a loss coefficient of 15% of the velocity head. The inlet is rounded with r/d= 0.1; the outlet is abrupt, with D₁/D₂= 0 and expansion angle 180^o. If the pipe velocity is 4 fps, what is the power (in hp) delivered to the turbine? Assume two wide-open gate valves with negligible head loss and Darcy-Weisbach friction factor f = 0.016.

4. (30%) A 10-cm orifice is located in a horizontal 20-cm pipe. The deflection in the manometer is equivalent to a 2.8-m water column. The temperature is 20^o (kinematic viscosity = 1.0 X 10^-6 m²/s). What is the discharge (in Liters per second)?