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For two dynamically similar pumps, manipulate the dimensionless pump parameters to show that
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Fluid Mechanics: Fundamentals and Applications
- P (6-5) Two centrifugal pumps are connected in parallel in a given pumping system. Plot total head Ah against capacity Q pump and system curves for both pumps running on the basis of the following data: Operating data for pump 1 Operating data for pump 2 Ahm, 40.0 35.0 30.0 25.0 Ah m. 0.0 35 30 25 Qim³/h. 169 209 239 265 Q₂m/h 0 136 203 267 data for system Ah m, 20.0 25.0 30.0 35.0 Q.m³/h, 0 244 372 470arrow_forwardExample: Two centrifugal pumps are connected in parallel in a given pumping system. Plot total head Ah against capacity Q pump and system curves for both pumps running on the basis of the following data operating data for pump 1 Ah, m Qs, m³/h 40 35 30 25 169 209 239 265 operating data for pump 2 Ah, m 40 35 30 25 Qs, m³/h 0 136 203 267 Data for system Ah, m 20 Qs, m³/h 0 22 25 30 35 244 372 470arrow_forward... height Fire hoses used in major structural fires have an inside diameter of 6.40 cm. Suppose such a hose carries a flow of 43 L/s. The hose rises up 13.3 m along a ladder to a nozzle having an inside diameter of 3.00 cm. What is the starting pressure at the fire truck? Use p=1000 kg/m³ and g =9.8 m/s? Answer in KPa. No label, no unit, number only.arrow_forward
- Qn.2. A piezometer and a Pitot tube are tapped into a horizontal water pipe, as shown in the Figure I below to measure static and stagnation (static + dynamic) pressures. For the indicated water column heights, determine the velocity at the center of the pipe. Clearly state all asuumptions and illustrations. hy-12 cm h- 7 cm hy-3 cm Water Stagnation point Figure 1arrow_forwardA one-fifth scale model of a water turbine is tested in a laboratory at T = 20°C. The diameter of the model is 8.0 cm, its volume flow rate is 17.0 m3 /h, it spins at 1500 rpm, and it operates with a net head of 15.0 m. At its best efficiency point, it delivers 450 W of shaft power. Calculate the efficiency of the model turbine. What is the most likely kind of turbine being tested?arrow_forward2. Suppose the pump of Fig. P14-23 is operating at efficient condition. The pipe diameter after the pump is "X" cm and pipe diameter before the pump is "Y" diameter. The friction losses along the pipe are negligible (no need to use Darcy Equation). But there are minor losses in the system. They are as follows; the sharp inlet is 0.50 m of water, each valve has a loss of 2.4 m of water, and each of the three elbows has a loss of 0.90 m of water. The contraction at the exit reduces the diameter by a factor of 0.60 (60% of the pipe diameter(after the pump)), and the loss of the contraction is 0.15 m of water. The volume flow rate is "K" Lpm. Density= 990kg/m. dynamic viscosity=1.002 x103 kg/m-s. Z1-Z2="L". The kinetic energy correction factor is 1. Determine (a) Required Head, (b) Required pump power (water Hp), (c) Reynolds number at the exit. V = 0 Reservoir Pump Given for Problem 2 X Y K L 1.8 148 6arrow_forward
- A pump 260mm suction pipe and a 150mm discharge pipe is used to deliver 58L/s of water. The suction gage reads 15.6 kPa vacuum and the discharge gage located 120 cm above the suction gage which reads 110 kPa gage. Determine: a. The total dynamic head (TDH) in meters b. The water power in kW c. The pump efficiency in % if the power supplied by the motor is 15hparrow_forwardTwo pumps (Pump A and B) have performance curves which can be approximated by the following equations: H_A = 340- (1.2(Q^2)), in feet H_B = 360 - (2.5(Q^2)), in feet where Q is in ft^3/s. If pumps A and B were to operate in parallel as depicted in the figure below, at what head (in ft.) should either pump be operated? ... Pump A Round your answer to 2 decimal places. J Pump Barrow_forwardTwo pumps (Pump A and B) have performance curves which can be approximated by the following equations: H_A = 340 - (1.2(Q^2)), in feet H_B = 360 - (2.5(Q^2)), in feet where Q is in ft^3/s. If pumps A and B were to operate in parallel as depicted in the figure below, at what head (in ft.) should either pump be operated?arrow_forward
- Figure below shows the performance curve family of Model 5009 Centrifugal pumps of Taco Pump Inc., running at a fixed speed of N = 1160 rpm. For the pump with the impeller diameter D = 8.625 in., you are asked to determine the best efficiency point (BEP) of the given pump. What is the pump efficiency at BEP? HEAD IN FEET 50 0 0 0 0 40 20 10 O 81% 8.625" 30 (219mm). O 51% O 71% ○ 61% O Taco L/SEC 5 9.25" (235mm) 8.00" (203mm) 7.375" (187mm) 6.75" (171mm) 0 10 15 125 Model 5009 FI & CI Series 20 25 CURVES BASED ON CLEAR WATER WITH SPECIFIC GRAVITY OF 1.0 8 8 52 75% 77% 30 79% 1160 RPM FEBRUARY 19. 2002 35 40 45 REQUIRED NPSH olº 1.5HP (1.1KW) dot 17% Curve no. 2140 Min. Imp. Dia. 6.75" Size 6 x 5 x 9.0 50 55 60 75% 72% 250 375 500 625 FLOW IN GALLONS PER MINUTE 8% 2HP(1.5KW) 750 %09. 55% (2.2KW) 3HP 7.5HP(5.6KW) 2015 do 35% 875 FEET 15 12 -9 6 SHP(3.7KW) 3 0 10 8 NPSH 1000 HEAD IN METERS 5 KPo 45 -36 27 18 9 -0 100 -80 60 -40 2 -20 8 HEAD IN KILOPASCALSarrow_forwardwhat will be the pressure gradient (kpa/m) at L=30 cm through the nozzle? At L=0, the liquid flows inside the nozzle has a specific gravity S=6.1, at L=0, the velocity is 2 m/s while at L=70 cm, the velocity is 6 m/s. Assume steady and inviscid flow. The velocity varies linearly with distance through the nozzle. 70 cm 60 em Liguidarrow_forward1. A pump 260mm suction pipe and a 150mm discharge pipe is used to deliver 58L/s of water. The suction gage reads 117 mm Hg vacuum and the discharge gage located 120 cm above the suction gage which reads 110 kPa gage. Determine: a. The total dynamic head (TDH) in meters 18.54 O 14.49 16.32 b. The pump efficiency in % if the power supplied by the motor is 15hp. 69.32 66.55 O 73.66arrow_forward
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