Question

In: Electrical Engineering

The water surface of the reservoir is at an elevation of 326 m. A penstock with...

The water surface of the reservoir is at an elevation of 326 m. A penstock with a length of 6.4 km supplies water

from the reservoir to a power plant at an elevation of 18m above sea level. If the turbine inlet pressure is 2.4 MPa,

estimate the head losses in the penstock.

Solutions

Expert Solution

Dear student, this problem is purely related to calculation of head loss without considering friction losses in penstock. So this can be solved using Bernouli's principle.

Solution is provided followed by a short-cut procedure for solving smilar problems.


Related Solutions

Water will be pumped from a reservoir free surface of which is at an elevation of...
Water will be pumped from a reservoir free surface of which is at an elevation of “z1” to reservoir the free water surface of which is at “z2”. Both of the reservoirs’ free surfaces at atmospheric pressures.Design a piping system that transmits water from the lower reservoir to the upper reservoir at a volumetric flow rate of Q (m3 /h). Q = 200 (m3/h) Za = 10(m) Zb= 60 (m) Zc = 75 (m) L1=200 (m) L2=125 (m) "Pipe material...
Water will be pumped from a reservoir free surface of which is at an elevation of...
Water will be pumped from a reservoir free surface of which is at an elevation of “z1” to reservoir the free water surface of which is at “z2”. Both of the reservoirs’ free surfaces at atmospheric pressures.Design a piping system that transmits water from the lower reservoir to the upper reservoir at a volumetric flow rate of Q (m3 /h). Q = 200 (m3/h) Za = 10(m) Zb= 60 (m) Zc = 75 (m) L1=200 (m) L2=125 (m) "Pipe material...
V5 What is the water elevation in reservoir B given the following: Elevation of reservoir A...
V5 What is the water elevation in reservoir B given the following: Elevation of reservoir A =2250m. The flow is 25m^3/sec. the temperature is 20C there are two pipes in series with the following characteristics D1 L1 D2 L2 2 m 1500m 1.6m 1000m There are gate valves at the exiting and entering the reservoirs There are two bends, 1 in each pipe size.There is is a globe valve on the downstream pipe. What is the elevation of Reservoir B?
For a small scale hydraulic power system, the elevation difference between the reservoir water surface and...
For a small scale hydraulic power system, the elevation difference between the reservoir water surface and the pond water surface downstream of the reservoir is 20.35. The velocity of the water exhausting into the pond is 7 m/s, and the discharge through the system is 4 m3/s. The head loss due to friction in the penstock (inlet pipe to turbine, under very high pressure) is negligible. Find the power produced by the turbine in kilowatts. Assume specific weight of water...
Water at 70°F flows by gravity from a large reservoir at a high elevation to a...
Water at 70°F flows by gravity from a large reservoir at a high elevation to a smaller one through a 55-ft-long, 2-in-diameter cast iron piping system that includes four standard flanged elbows, a well-rounded entrance, a sharp-edged exit, and a fully open gate valve. Taking the free surface of the lower reservoir as the reference level, determine the elevation z1 of the higher reservoir for a flow rate of 10 ft3/min. The density and dynamic viscosity of water at 70°F...
Consider a small Pelton wheel hydro turbine, with a total head (reservoir surface to nozzle elevation...
Consider a small Pelton wheel hydro turbine, with a total head (reservoir surface to nozzle elevation difference) of Ht = 200 ft. The flowrate to the turbine is 185 gal/s. If the pipe (penstock) feeding the turbine has a length of 1000 ft, a diameter of 19.6 in, and a friction factor of f = 0.005, determine the percent of total head lost in the pipe (penstock). Submit your answer as a percentage but without the percent symbol. ***NOTE: The...
Water flows at a rate of 30 ft3/s from a reservoir with elevation 45 ft to...
Water flows at a rate of 30 ft3/s from a reservoir with elevation 45 ft to a lower one with elevation 0 ft through a pipe Of length 1800 ft with bends, elbows, entrances and exits contributing a total of minor losses Of ?K = 2.5. The pipe has a roughness e = 0.0005ft. -Determine the pipe diameter needed. -How important are minor losses? -Plot the EGL.
Design a system to move 100 gpm of water from a river with surface water elevation...
Design a system to move 100 gpm of water from a river with surface water elevation of 201.35 ft msl to a tank with surface water elevation = 246.55 ft msl. The tank is pressurized; the air pressure in the tank is 60 psig. The total length of pipe is 125 ft with 6 standard elbows all made of Sch 40 steel pipe. Your design should specify the nominal diameter of pipe (use only commercially available sizes) and the power...
A new 5 km long pipeline connects two reservoirs. The water surface elevation in the upper...
A new 5 km long pipeline connects two reservoirs. The water surface elevation in the upper reservoir is 1100 m and in the lower reservoir is 835 m. The pipeline is 400 mm nominal diameter commercial steel with a sharp-edged inlet and includes the following flanged fittings. 10 - gate valves 19 - standard radius 90° elbows 37 – standard radius 45° elbows 8 – straight (line flow) tees What is the maximum water flow rate between the reservoirs in...
A water faucet in a house is h=8 m below the water surface in the local...
A water faucet in a house is h=8 m below the water surface in the local water tower. The radius of the orifice in the fully opened faucet is r=0.01 m. We assume non-viscous flow in this problem. a) How long does it take to fill a 20 liter bucket with water using this faucet?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT