Problem 4 In the figure shown, suppose that the reservoir is open to the atmosphere at the top. The valve is used to control the flow rate from the reservoir. The head loss across the valve is given as h₁ = 4V²/(2g), where V is the velocity in the pipe. The cross-sectional area of the pipe is 8 cm². The head loss due to friction in the pipe is negligible. The elevation of the water level in the reservoir above the pipe outlet is 9 m. Find the discharge in the pipe (in m³/s). Assume a = 1.0 at all locations. Air under pressure Water Partly open valve

Ex. A pitot static probe is inserted into duct of air heating system parall to flow and the differential height of the water Colum is measured. The flow velocity and the pressure rise at the of the pitot -statics probe are to be determined For water p = 1000 kg/m3. for air p = 1.1 kg/m3 Air h-2.4 cm

Consider the pressurized horizontal pipe network consisting of three pipes arranged in series. The characteristics of each pipe are summarized in the table. The flow of water at Node A is Q = 5 cfs and the pressure head at Node A is yA = 200 feet. The temperature of the water is 60° F. a) Determine the friction head loss hfric in feet in Pipe 1. b) Determine the friction head loss hfric in feet in Pipe 2. c) Determine the friction head loss hfric in feet in Pipe 3. d) Determine the pressure head ys in feet at Node B. e) Determine the pressure head yc in feet at Node C. f) Determine the pressure head yo in feet at Node D. Flow Friction Pressure Diameter Length Friction (feet) (cfs) head Нead Pipe (inches) factor f Kpipe loss (feet) Node (feet) 1 16 500 0.011 5 A 200 2 12 1000 0.013 B 3 10 750 0.015 D Node Node Node Node A в D 5 cfs 5 cfs Pipe 1 Pipe 2 Pipe 3