Figure 8-13 shows a pipeline system for pumping sea water into a reservoir. The

Question

Figure 8-13 shows a pipeline system for pumping sea water into a reservoir. The Venturi meter has a discharge coefficient of 0.96 and a throat area one-half that of the pipe. The pipes are 4-in. and 6-in. I.D. commercial steel, and the manometer fluid is mercury. Determine the horsepower requirement of the pump and the volumetric flow rate. The density of sea water may be taken as 68.5 lb_m/ft^3 and the viscosity as 1.2 centipoise. A 1/2-in. plastic sphere (rho = 38 lb_m/ft^3) is released from the bottom of a deep lake. What is the terminal velocity? 8-15. Calculate the horsepower delivered by the pump to maintain a steady flow of water in the system shown in Fig. 8-15. All piping is 6-in. I.D. commercial

Explanation / Answer

The terminal speed for a sphere is

V=F/6*pi*n*R where

F=weigth= 38x32x(4/3)pi(1/4/12)^3 = 0.046057 lb

R= 1/4 in=0.020833 ft

n= viscosity for water= 3.75x10^-5 lb s/ft^2

so knowing that we have:

V= 3127.6 ft/s

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