Home work 01 A hydraulic pump, with the performance characteristics of Fig. (1), operates at 2000 rpm in a system that requires Q = 20 gpm at p = 1500 psig to the load at one operating condition. Check the volume of oil per revolution delivered by this pump. Compute the required pump power input, the power delivered to the load, and the power dissipated by throttling at this condition. Compare with the power dissipated by using (i) a variable- displacement pump at 3000 psig and (ii) a pump with load sensing that operates at 100 psi above the load requirement. 4000 (280) Pump displacement: 5.9 in.rev (97 mL/rev -Overall efficiency ---Valumetric efficiency Speed: 1500 2000 2500 1pm 3000 L (210) 85 2000 (140) 1000 (70) 85 88 86 90- 180 F (80-C) 92- 83 Viscosity 9 cSt 97-- (U/min) (100) (140) (180) 1220) (260) 0 (0) 0 10 20 30 40 50 60 70 BO Volume flow rate, gom Figure (1) GIVEN: Hydraulic pump, with performance characteristics of Fig. (1), operating at 2000 rpm. FIND: System requires Q = 20 gpm at p = 1500 psig. (a) The volume of oil per revolution delivered by this pump. (b) The required pump power input. (c) The power delivered to the load. (d) The power dissipated by throttling at this condition. (e) The power dissipated using: (i) a variable-displacement pump at 3000 psig, and (ii) a pump with load sensing that operates at 100 psi above the load pressure requirement.

Displacement (c): 0.2 in3/revShank diameter (d) = 0.625 in.Piston diameter (D) = 1.5 in.Rotation speed (n): 1725 RPMPressure (P): 600 PSIStroke (L) = 18in.   a) Calculate the theoretical flow rate of the pump in in3/min and US GPM.Theoretical flow (Q) = Theoretical displacement (C) x Speed of revolution (n)Theoretical flow (Q) = 0.2 in3/rev x 1725 rpmTheoretical flow (Q) = 345 in3/min = 1.49 US GPM b) Calculate the cylinder output speed in in/s.Cylinder output speed (VS) = Piston side flow (Q) / Piston area (Ap)Cylinder output speed (VS) = (Displacement x Speed of revolution) / Piston area (Ap)Cylinder output speed (VS) = (0.2 in3/rev x 1725 RPM) / 1.77 in2Cylinder output speed (VS) = (0.2 in3/rev x 1725 RPM) / 1.77 in2Cylinder output speed (VS) = 196.02in/s = 196.02 / 60s = 3.20 in/s Questions: c) Knowing the output velocity (ram speed), calculate the rod side flow in GPM when the ram is extending. d) Calculate the piston exit time in seconds. e) Calculate the piston entry time in…

Problem 5. Performance curves are available here at three different operating speeds, N = 1750, 2900, and 3500 rpm, for a family of stainless-steel pumps with closed impellers (SSPC1 250 Family) manufactured by American Stainless Pumps . (a) Make three tables (one for each N) at the best efficiency point, BEP, with the following columns: diameter, D (in), flowrate, Q (gpm), head, H₂ (ft), power, Wm (hp), efficiency, np, and specific speed in U.S. customary units, Ns,cu, and dimensionless, Ns. Use Web Plot Digitizer (the first 5 minutes of the tutorial video will show you how it works) to extract the data points for H₂ and at the BEP. (b) Use the scaling laws to produce the same table at N = 2900 rpm from the data at N = 3500 rpm. Briefly discuss the agreement between these two tables. (c) Plot N, versus D for all three values of N on the same figure. Briefly discuss the agreement of the curves.

Find the specific speed of a double suction centrifugal pump delivering 1.5 m³/s against a net head of 15 m when running at 725 r.p.m. state the type of impeller to be employed for this pump.

Hydraulic Machines Please write clearly

A two-lobe rotary positive-displacement pump, similar to that of Fig., moves 0.45 cm3 of SAE 30 motor oil in each lobe volume Vlobe, as sketched. Calculate the volume flow rate of oil for the case where n. = 900 rpm.

Using affinity laws, develop a pump curve and BHP curve for a 1 ½" AB pump for a 6" impeller. Use a 1750 rpm curve as the "known" characteristics and develop a theoretical curve using affinity laws for 3500 rpm based upon flow rates 0, 20, 40, 60, 80 and 90 gpm at 1750 rpm. Plot the theoretical (affinity-based) and published flow vs. head and flow vs. horsepower curves for 3500 rpm.

Item#3 The oil tank for the hydraulic system of figure below is air-pressurized at 10psig. The inlet line to the pump is 10 ft below the oil level while point 3 is 2ft below pump inlet. The pump flow-rate is 30 gpm and has a power equal to0.5HP. Find the pressure at station 3if there is a 28ft head loss between station 1 and 3. OIL LEVEL SG 0.9 1.5-IN- INSIDE DIAMETER 10 FT STRAINER ELECTRIC MOTOR M 2 FT PUMP 3 Q-30 GPM

Q1/ liquid is pumped from a ground level reservoir to an overhead tank through a 5 cm ID pipe as shown in Fig. (1): i. What pressure developed by the pump to 45° elbow 8 m Fig. (1) Globe valve Tank 5 m supply water to the tank at the rate of 245 I/min? ii. What is the power required for the pump, if the pump is only 62% efficient? iii. Calculate the available NPSH. If the pump required 12 m NPSH is it suitable to prevent cavitation for this system? why? Given that: u = 0.0016 Pa.s; p 850 kg/m', e/d 0.0035, (Le/d) of Globe valve (open) = 240 (Le/d) of 45° ēlbow = 24 and Pv = 36.6 kPa 25 m 45° Reservoir 45° elbow

For a single acting reciprocating pump, piston diameter is 150 mm, stroke length is 300 mm, and rotational speed is 50 r.p.m. The pump is required to lift water to a height of 18 m. Determine the theoretical discharge. If the actual discharge is 4.0 lit./sec, and the mechanical efficiency is 80% determine the volumetric efficiency, slip, theoretical power and the actual power required.