Water of density ρ flows from a large tank through a pipe of diameter D, length L, and friction factor f, as shown in Figure P8.47. K2 and K3 are the loss coefficients for the entry and exit, respectively, and towards the end of the pipe there is one bend with a loss coefficient of K4. The flow in the pipe is turbulent. The exit from the pipe is a distance H below the level of the water in the tank. (a) Determine the exit velocity V3 if D = 0.05 m, L = 10m, f = 0.01, K2 = K3 = K4 = 1.0, and H = 1 m. (b) Under the conditions given in (a), find the height h to which the jet of water issuing from the pipe rises above the exit. (c) If a pump was put in the system to increase h by a factor of 10, what is its required minimum power (ρ = 1000 kg/m3 )?

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Water of density ρ flows from a large tank through a pipe of diameter D, length L, and friction factor f, as shown in Figure P8.47. K2 and K3 are the loss coefficients for the entry and exit, respectively, and towards the end of the pipe there is one bend with a loss coefficient of K4. The flow in the pipe is turbulent. The exit from the pipe is a distance H below the level of the water in the tank.

(a) Determine the exit velocity V3 if D = 0.05 m, L = 10m, f = 0.01, K2 = K3 = K4 = 1.0, and H = 1 m.

(b) Under the conditions given in (a), find the height h to which the jet of water issuing from the pipe rises above the exit.

(c) If a pump was put in the system to increase h by a factor of 10, what is its required minimum power (ρ = 1000 kg/m3 )?

 

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