Question

The following figure depicts a pipe system connecting two reservoirs. No minor losses should be considered in this problem. Assume that y=62.4 lb/ft. The water surface elevation at Reservoir A is 24 feet, and at Reservoir Dthe water surface elevation is 100 feet. The pump supplies a head of He=100 feet. The pipe system consists of pipes in series with the following characteristics: Pipe ABBCCD Diameter (in) 18 18 Length (ft) 4,000 1,000 2,000 Darcyf 0.015 0.020 0.015 la) Calculate analytically (with equations) the flow rate that needs to be delivered by the pump under the prescribed head. (10 pts) 1b) Find the system equation where Q is in units of GPM. Note that 448.83 GPM - 1 cs (5 pts) 1c) From the two manufacturer's charts provided on the next plage, select the most appropriate pump for this system and state justifications for your selection. Sketch the system curve on both charts Fill out the table below for the selected pump. (15 pts) Model Q (GPM) H. (tt) RPM Dimp (in) NPSHr (ft) BHP Efficiency (%)

Answer 1

specific weight = 62.4 16/413 from Continuity can. AVIZA, U = A 3 V. [for Series J. V=siv = I x (1812 xv, 2 1.440 5 Q = 3380-eff.976.66 cts lcd = 448.83 GPM- 971.66 3360 c&s=976664 448.83. Q = - 1) A I (1872 die u = 1x4 = 3 - ) - AU - ) Q. - 15170484 GPM 438356.82 GPM Head loss- 100 read Cors= 100 Q = 1850 GM . = 9800 apM Now, Total Head toss - H= 46, Live & ahlq V 2 d, x2g drag 2713 v think after the anagris one best Pump in 2 one. because of me Same head loss gine meyou discharge Q (apm) hp (ff) (RPM / Dimp INPSH, (fell BrP Eficiany 2200 100 11765 10" 120 1148 .5 dz x2g + 4x0020x10 (100-24) = 4X-015x4000x2 T2 0 T2 Y +48°02041000 X 1-441,2 1800 x 2x322 15x24 32-2 & ux.01582000xv2 188 2x 322 = 2.8480 , 2 + 1.490, +224 V, 2 - 1.24 z ve 15.45] Output x = input 2200 x100 438386 .50 2 76 76 1,2 1329 Ft/fee 3.841€rs d = 2 x (1 832 x 3.848880 W /se. o 976.66 Cfs. 23380ets!