Problem 06.033 - Water pumps from a reservoir through a vertial pipe Water at 20°C is pumped from a reservoir through a vertical tube 10.25 ft long and 1/16th inch in diameter. The pump provides a pressure rise of 11 lbf/in² to the flow. Neglect entrance losses. For water at 20°C, p = 998 kg/m³ = 1.94 slug/ft³, and = 0.001 kg/m-s = 2.09E-5 slug/ft-s.

HAH 5.6.4. Consider a pump-pipeline system that delivers water from a reservoir A to B with the elevations EA = 45.5 m and EB = 52.9 m. The pipe has a length L = 3,050 m, diameter D = 0.50 m, and Darcy-Weisbach friction factor f = 0.02. Minor losses include an inlet, Kin = 0.5, exit Kexit = 1.0, and a swing-type check valve (see Table 8.2). The pump characteristics are shown in the following table. Q (m³/s) ho (m) 0.00 0.15 89.8 91.4 b. C. 0.30 0.45 0.60 85.1 77.2 65.9 0.75 52.6 0.90 1.05 15.7 36.3 a. Verify graphically that when a single pump is used in the pipeline, the flow rate is Q = 0.595 m³/s with a pump head of approximately h₁ = 66.3 m. Determine the flow rate if two identical pumps are used in series. Determine the flow rate if two identical pumps are used in parallel.

An anaerobic digester (sealed, ID: 20 m) is used to produce renewable fuel from agricultural biomass. The head space pressure is maintained at 18.6 psi. A commercial steel pipe (20 cm) is connected to the bottom of the digester to remove the biofuel (y= 2000 N/m³, vapor pressure 0.2 psi) generated at 0.034 m³/s. A centrifugal pump (Taco® Model 4007, 7.00 in, operated at 1760 rpm) will be used. Assuming the head loss in the pipe is 225 ft, which of the following elevation can the pump be located? HEAD IN FEET 75 60 45 OO 15 Taco® L/SEC 5 0 7.50"(191mm) 6.00" (152mm). T I 30 5.50"(140mm) 0 7.00"(178mm) 6.50"(165mm) 10 O Both of these CURVES BASED ON CLEAR WATER WITH SPECIFIC GRAVITY OF 1.0 O Neither of these 15 125 Model 4007 FI & CI Series 20 25 O 30 ft below the liquid surface in the digester O 15 ft below the liquid surface in the digester 30 208 1760 RPM November 1, 2010 40 45 (2.2KW) 3HP 35 REQUIRED NPSH -82%1 80% LL 75%. 5HP (3 7KW) 250 375 500 625 FLOW IN GALLONS PER MINUTE Curve…

Performance data for a pump are listed in the following table.Hp (ft) 179 176 165 145 119 84 43Q (gpm) 0 500 1000 1500 2000 2500 3000(a)  Plot the system curve for the pump to move water between two open reservoirs,through 2000 ft of 12 in. inner diameter commercial steel pipe containing 5 standard 90°elbows and 2 open gate valves, if the elevation increase is 50 ft. Explain how plot was made.(b)  Determine the operating point, i.e., the volumetric flowrate in gpm and pump headin ft.(c) Calculate the power input (horsepower) to the pump at the operating point,assuming its efficiency is 80%. please perform all calculations