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A hydroponic garden uses the 10-m-long perforated-pipe system in Fig. D6. 1 to deliver water at 20°C. The pipe is 5 cm in diameter and contains a circular hole every 20 cm. A pump delivers water at 75 kPa (gage) at the entrance, while the other end of the pipe is closed, if you attempted, for example, Prob. P3.125, you know that the pressure near the closed end of a perforated “manifold” is surprisingly high, and there will be too much flow through the holes near that end. One remedy is to vary the hole size along the pipe axis. Make a design analysis, perhaps using a personal computer, to pick the optimum hole size distribution that will make the discharge flow rate as uniform as possible along the pipe axis. You are constrained to pick hole sizes that correspond only to commercial (numbered) metric drill-bit sizes available to the typical machine shop.
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- 3 D, - 6 cm Three pipes steadily deliver water at 20°C to a large exit pipe in Fig. P3.8. The D;-5 cm velocity V2 = 5 m/s, and the exit flow rate Q4 = 120 m3/h. Find (a) V1; (b) V3; and (c) V4 if it is known that increasing Q3 by 20% would increase Q4 by 10%.. D. =9 cm D, -4 cm Ans:arrow_forwardI nree pipes steadiy aenver water at 20°C to a large exit pipe in Fig. P3.8. The velocity V, = 5 m/s, and the exit flow rate Q = 120 m/h. Find (a) V,, (b) V, and (c) V, if it is known that increasing Q, by 20 percent would increase Q4 by 10 percent. D3 = 6 cm D2 = 5 cm D4 = 9 cm D = 4 cmarrow_forwardThe large turbine in Fig. P3.184 diverts the river flow undera dam as shown. System friction losses are h f = 3.5 V 2 /(2 g ),where V is the average velocity in the supply pipe. Forwhat river flow rate in m 3 /s will the power extracted be25 MW? Which of the two possible solutions has a better“conversion efficiency”?arrow_forward
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