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Assignment 4-1

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Assignment 4

1. Define the term: hydraulic machines, Turbines and Pump.


2. What do you understand by
a) Gross Head
b) Net head
c) Frictional loss head
3. Explain the different types of the efficiency of a turbine.
4. How will you classify the turbines?
5. Draw the inlet and outlet velocity triangles for Pelton Wheel, Francis turbine, and
Kaplan turbine and indicate the direction of various velocities.
6. Obtain an expression for the work done per second by water on the runner of a Pelton
wheel.
7. Derive an expression for maximum efficiency of the Pelton wheel giving the
relationship between the jet speed and bucket speed.
8. Define the terms: speed ratio, flow ratio, and jet ratio.
9. Define degree of reaction. Also derive an expression for the same.
10. What is a draft tube? Why it is used in a reaction turbine? What is its function?
11. Define the specific speed of a turbine? Derive an expression for the specific speed.
12. Define the terms unit power, unit speed, and unit discharge with reference to a hydraulic
turbine. Also derive expression for these terms.
13. What is governing of a turbine? Describe with neat sketch the working of an oil pressure
governor.
14. Draw and discuss with neat sketch of main characteristics of a turbine.
15. Obtain the expression for the force exerted by a jet of water on a moving vertical plate
in the direction of the jet.
16. A jet of water of diameter 50mm, having a velocity of 20m/s strikes a curved vane
which is moving with a velocity of 10m/s in the direction of the jet. The jet leaves the
vane at an angle of 60⁰ to the direction of motion of the vane at the outlet. Determine
(i) force exerted by a jet on the vane in the direction of motion.
(ii) work done per second by the jet.
17. The three- jet Pelton turbine is required to generate 10,000kW under a net head of
400m. The blade angle at outlet is 15⁰ and the reduction in the relative velocity while
passing over the blade is 5%. If the overall efficiency of the wheel is 80%, coefficient
of velocity is 0.98 and speed ratio is 0.46, then find (i) diameter of the jet (ii) total flow
in m³/s (iii) force exerted by jet on the buckets.
18. An outward flow reaction turbine has internal and external diameters of the runner as
0.6m and 1.2m respectively. The guide blade angle is 15 and velocity of flow through
the runner is constant and equal to 4m/s. If the speed of the turbine is 200 r.p.m., head
on the turbine is 10m and discharge at outlet is radial, determine: (i) runner vane angles
at inlet and outlet, (ii) work done by the water on the runner per second per unit weight
of water striking per second. (iii) hydraulic efficiency.
19. A Pelton wheel has a mean bucket speed of 10m/s with a jet of water flowing at the rate
of 700 lt/s under a head of 30 meters. The bucket deflects the jet through an angle of
160°. Calculate the power given by water to the runner and the hydraulic efficiency of
the turbine. Assume co-efficient of velocity as 0.98.
20. A turbine develops 9000 kW when running at 10 rpm. The head on the turbine is 30m.
if the head on the turbine is reduced to 18 m, determine the speed and power developed
by the turbine.
21. A Francis turbine with an overall efficiency of 75% is required to produce 150 kW
power. It is working under a head of 8 m. The peripheral velocity is 0.26 times absolute
jet velocity and the radial velocity of flow is 0.96 time the absolute jet velocity. The
wheel runs at 150 rpm and the hydraulic losses in the turbine are 22% of the available
energy. Assuming the radial discharge, determine: i) the guide blade angle, ii) the wheel
vane angle at inlet, iii) diameter of the wheel at inlet, and iv) width of the wheel at inlet.

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