The pump-turbine system shown draws water from the upper reservoir in the daytime to produce power for a city. At night, it pumps water from the lower to upper reservoir to restore the situation. For a design flow rate of 1 cms in either direction, the friction loss is 4 times the velocity head in the 500-mm transmission pipe. The efficiencies of the pump and turbine are 0.80 and 0.90, respectively. a) b) c) and PhP 1.50 per kWh during nighttime, is this system profitable? Assume the pump and turbine each operates for 10 hours. Estimate the power in kW generated by the turbine Estimate the power in kW required by the pump to restore the higher head If the cost of electricity is PhP 4 per kWh (kilowatt-hour) during daytime

The pump-turbine system shown draws water from the upper reservoir in the daytime to produce power for a city. At night, it pumps water from the lower to upper reservoir to restore the situation. For a design flow rate of 1 cms in either direction, the friction loss is 4 times the velocity head in the 500-mm transmission pipe. The efficiencies of the pump and turbine are 0.80 and 0.90, respectively. a) b) c) and PhP 1.50 per kWh during nighttime, is this system profitable? Assume the pump and turbine each operates for 10 hours. Estimate the power in kW generated by the turbine Estimate the power in kW required by the pump to restore the higher head If the cost of electricity is PhP 4 per kWh (kilowatt-hour) during daytime

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A) Fnd the flow rate in m. B) the maximum height h, to which The Water Can flow if thz Velocity at…

Q: B) A hydraulic system contains a pump that discharges oil at 13.8 MPa and 0.00632 m/ s³ to a…

Q: Question B2 A fountain fires a jet of water from a 5 mm diameter pipe at ground level vertically…

Q: 1) M H h On the cylindrical container above with a cross section area A we open a hole as shown with

A: Givencylindrical container below with A=cross section area of container Ah= area of the hole

Q: Following the calculations made by the technician, the company consumes 1500 SCFM at 120 psig…

A: Flowrate, Q = 1500 SCFM RH=70%. T1=85°F P1=14.3 psia Find a) Calculate the actual flow rate of the…

Q: A wind turbine generates power by transferring the kinetic energy of the wind to rotational energy…

A: Given:Wind inlet velocity, V1=7 m/sWind exit velocity, V2=1.75 m/sBlade diameter of wind turbine,…

Q: The 36¾ -in pump of the figure below is to pump 20,000 gpm of water at 1,170 rpm from a reservoir…

Q: Water flows through a circular pipe with a radius of 15 cm at a rate of 1.5m/s into a storage tank.…

Q: Electric power is generated in the hydroelectric power plant with a turbine-generator system, which…

Q: a) A suction pump. Consider a pipe that is inserted vertically into water. By suction, the pipe is…

A: According to Bartleby guidelines, we can solve three subpart of a question at a time. Please post…

Q: A hydraulic pump, the speed is 950r/min, the displacement V, = 168ML/r, the working pressure is…

Q: A pump has a displacement of 90 cm3 . It delivers 1.25 LPS at 20 rps and 80 bar Find a) Overall…

A: Given Data Displacement volume is: Vs=90 cm3 Flow rate is: Q=1.25 LPS=1.25×10-3 m3/sec Speed is:…

Q: An axial flow pump with an impeller rotor diameter of 30 cm handles water at a rate of 2.7 m*/minute…

A: According to the information we have a 30-cm axial flow pump that handles a rate of 2.7 m */ minute…

Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

The pump-turbine system shown draws water from the upper reservoir in the daytime
to produce power for a city. At night, it pumps water from the lower to upper reservoir
to restore the situation. For a design flow rate of 1 cms in either direction, the friction
loss is 4 times the velocity head in the 500-mm transmission pipe. The efficiencies of
the pump and turbine are 0.80 and 0.90, respectively.
a)
b)
c)
and PhP 1.50 per kWh during nighttime, is this system profitable? Assume the
pump ang tyrbine each operates for 10 hours.
Estimate the power in kW generated by the turbine
Estimate the power in kW required by the pump to restore the higher head
If the cost of electricity is PhP 4 per kWh (kilowatt-hour) during daytime
EL 50 m
V
pump-
turbine
EL 10 mV

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

1) A pipe carries water from the bottom of a pool to the top of a water slide with the aid of a pump. The pool is 3 meters deep and the water slide is 5 meters above the surface of the pool. The pipe carrying the water has uniform area. A diagram of the system is shown here. Open to atmosphere Pump Pool a) If the pump's output is 62 kJ/m³ and the flow rate is 0.3 m³/s, what is the resistance in the pipe? b) The pool is partially drained for construction. How low can the water go in the pool before the water in the pipe stops flowing? c) After long use, sediment builds up in the pipe, increasing the resistance and decreasing the area of the pipe uniformly. How do these changes affect the current in the pipe?
A) A DC motor driven pump running at 100 RPM delivers 30 L/sec of water at 40C (d = 992.3 kg/m3 ) against a totalpumping head of 27 m with a pump efficiency 60%, A.)what motor HP is required? (20 KW)answer B) What speed and capacity would result if the pump RPM were increased to produced a pumping head of 36 m,assuming no change in efficiency. (N2 = 116 RPM)answer
B) A hydraulic system contains a pump that discharges oil at 13.8 MPa and 0.00632 m/ s³ to a hydraulic motor shown in Figure below. The pressure at the motor inlet is 12.40 MPa due to pressure drop in the line. If oil leaves the motor at 1.38 MPa, determine the power delivery by the 100% efficient motor. a) What torque would a hydraulic motor deliver at a speed of 1750 rpm if it produces 4 BHP (brake horsepower)? b) If the pressure remains constant at 2000 psi. i. What effect would doubling the speed have on the torque? ii. What effect would halving the speed have on the torque? 13.8 12.4 1.38 MPa MPa MPa Pump Motor
A centrifugal pump delivers 227 m3/hr of water from a source 4 meters below the pump center line to a pressure tank whose pressure is 2.8 kg/cm2. Friction loss estimates are 2 meters in the suction line and 1 meter in the discharge line. The diameter of the suction pipe is 250 mm and the discharge pipe is 200 mm. Find: a) The water horsepower b) The kW rating of the driving motor if the pump efficiency is 70%
The 36% -in pump of the figure below is to pump 20,000 gpm of water at 1,170 rpm from a reservoir whose surface is at atmospheric pressure (i.e. 14.7 psia). a) If head loss from the reservoir to the pump inlet is 6 ft, where should the pump inlet be placed to avoid cavitation for water. The vapor pressure of water at 60°F is 0.26 psi. b) Determine the required brake horsepower. pressure differential across it, is to be fixed at 1 m of mercury (density = 13,600 kg/m³). 50 c) The water is to be transported in an 80 cm pipe, and the engineer would like to measure the flow rate downstream of the pump using an orifice meter. What should be the orifice meter diameter if the 40 n = 1170 r/min 30 NPSH |20 700 - 362 in dia.. 600 32 in dia. 500 3500 bhp 3000 bhp 2500 bhp. 400 28 in dia." 2000 bhp 1500 bhp 300 20 24 28 16 8 12 US gallons per minute x 1000 200 (From Ingersoll-Rand Corporation, Cameron Pump Division) Total head, ft %88 %Z8- %8L NPSH, ft
A centrifugal fan is delivering 2000 cfm of air at a total pressure differential of 2 in.w. The fan has an outlet area of 0.85 ft and requires 1.25 hp shaft input power. The fan speed is 1000 rpm. If the fan motor efficiency 85%, calculate: a) The total fan output power (hp) b) The fan total efficiency c) The fan static pressure, in.w d) The fan static efficiency e) The motor power, kW f) If the fan speed is reduced to 800 rpm, compute; 1. The capacity (cfm) II. The static ant total pressures, in.w. ill. The required power (shaft power), hp
EX.1 An axial flow pump with an impeller rotor diameter of 30 cm handles water at a rate of 2.7 m*/minute running at 1500 rpm. The energy input is K o W 125 J/kg and Total to Total efficiency is 0.75. If a geometrically similar pump has a diameter of 20 cm running at 3000 rpm, find its: i) Flow rate ii) input power.
EX.1 An axial flow pump with an impeller rotor diameter of 30 cm handles water at a rate of 2.7 m*/minute running at 1500 rpm. The energy input is Ko W 125 J/kg and Total to Total efficiency is 0.75. If a geometrically similar pump has a diameter of 20 cm running at 3000 rpm, find its: i) Flow rate ii) input power.
PROBLEM 1. A pump delivers 10 liters/min with a pressure rise of 80 bar. The shaft speed is 1420 rev/min and the nominal displacement is 0.008 liters/rev. The torque input is 11.4 N-m. Calculate: a). the volumetric efficiency b). the shaft power c). the over-all efficiency
Q3) A compressor, requiring 90 kW is to run at about 250 r.p.m. The drive is by V-belts from an electric motor running at 750 r.p.m. The diameter of the pulley on the compressor shaft must not be greater than 1 meter while the centre distance between the pulleys is limited to 1.75 meter. The belt speed should not exceed 1600 m/mi. Determine the number of V-belts required to transmit the power if each belt has a cross-sectional area of 375 mm² density 1000 kg/m and an allowable tensile stress of 2,5 MPa. The groove angle of the pulley is 35°. The coefficient of friction between the belt and the pulley is 0.25.
2) A double acting cylinder is hooked up in the regenerative circuit shown. The relief valve setting is 1500 psi. The piston area is 20 in2. and the rod area is 10 in2. If the pump flow is 0.25 gpm, Find: a) The cylinder speed in ft/s for the extending stroke, The load-carrying capacity in pounds for the extending stroke, c) The output power in HP for the extending stroke. Find the cylinder speed in ft/srfor the retracting stroke, e) The load-carrying capacity in pounds for the retracting stroke, The output power in HP for the retracting stroke.
A please, B if you can