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FLUID MECHANICS

PELTON IMPULSE TURBINE

 

 

RESULTS AND DISCUSSION

 

For Flow-rate No. 1

 

Replication Number

Elapsed Time in Seconds

Volume in L

Flowrate in cubic meters per second

 

s

L

m3

m3/s

1

39.22

25

0.0250

0.00063743

2

37.67

25

0.0250

0.000663658

 

Table 1 Flow rate measurement for the trial 1

 

 

Trial Number

Scale Reading

Angular speed

Angular speed

Mass

Lever arm

T

P

 

(degrees)

(rev/min)

(rad/s)

(kg)

(m)

(N-m)

(Watt)

1

0

2185

228.8423

0

0.1

0.0000

0.0000

2

2

2138

223.9199

0.008

0.1

0.0078

1.7573

3

5

2075

217.3217

0.02

0.1

0.0196

4.2639

4

7.5

2036

213.2371

0.032

0.1

0.0314

6.6939

5

13.5

1977

207.0578

0.056

0.1

0.0549

11.3749

6

18

1935

202.6590

0.075

0.1

0.0736

14.9106

7

21.5

1855

194.2803

0.09

0.1

0.0883

17.1530

8

26.5

1773

185.6922

0.12

0.1

0.1177

21.8597

9

31

1629

170.6106

0.152

0.1

0.1491

25.4401

 

Table 2 Measurement of the turbine characteristics like torque and power for the trial 1

 

For Flow-rate No. 2

 

 

Replication Number

Elapsed Time in Seconds

Volume in L

Flowrate in cubic meters per second

 

s

L

m3

m3/s

1

42.09

25

0.0250

0.000593965

2

43.68

25

0.0250

0.000572344

 

Table 3 Flow rate measurement for the trial 2

 

 

 

Trial Number

Scale Reading

Angular speed

Angular speed

Mass

Lever arm

T

P

 

(degrees)

(rev/min)

(rad/s)

(kg)

(m)

(N-m)

(Watt)

1

0

960

100.5440

0

0.1

0.0000

0.0000

2

2

935

97.9257

0.008

0.1

0.0078

0.7685

3

6

894

93.6316

0.024

0.1

0.0235

2.2045

4

8.5

878

91.9559

0.036

0.1

0.0353

3.2475

5

11.5

861

90.1754

0.048

0.1

0.0471

4.2462

6

16.5

833

87.2429

0.068

0.1

0.0667

5.8198

7

20

804

84.2056

0.084

0.1

0.0824

6.9389

8

24.5

759

79.4926

0.108

0.1

0.1059

8.4221

9

27

724

75.8269

0.124

0.1

0.1216

9.2239

10

34

557

58.3365

0.168

0.1

0.1648

9.6143

Table 4 Measurement of the turbine characteristics like torque and power for the trial 2

 

Fig.1 Plot Torque (N-m) Vs Angular speed (Rev./min) for the trial 1

 

 

Fig.2 Plot Power (W) Vs Angular speed (Rev./min) for the trial 1

 

Fig.3 Plot Torque (N-m) Vs Angular speed (Rev./min) for the trial 2

 

 

 

Fig.4 Plot Power (W) Vs Angular speed (Rev./min) for the trial 2

 

  1.  

Flowrate No. 1

  
 

Q

Power

Anugular velocity

 

m3/s

W

rad/sec

 

0.000637

52.519

6.4884

 

0.000664

57.065

6.763

    

Flowrate No. 2

  
 

Q

Power

Anugular velocity

 

m3/s

W

rad/sec

 

0.000594

45.66

6.05

 

0.000572

42.34

5.8263

 

Table 5 Maximum power and angular speed from flow rates for the trail 1 and 2

 

 

  1. The potential sources of error are:-
  2. Systematic error:- in this calibration of the instrument may not be done properly.
  3. Human Error:- While taking reading, if we add or remove masses this is always associated.

 

 

CONCLUSION

 

For trial 1, the maximum and minimum angular speed 2185 rev/min and 1629 rev/min respectively. For trial 1, the maximum and minimum torque 0 N-m and 0.1491N-m respectively. For trial 1, the maximum and minimum mass was 0 Kg and 0.152kg. The maximum and minimum power was 0W and 25.4401 W. For trial 2, the maximum and minimum angular speed 960rev/min and 557rev/min respectively. For trial 2, the maximum and minimum torque 0 N-m and 0.1648N-m respectively. For trial 2, the maximum and minimum mass was 0 Kg and 0.168kg. The maximum and minimum power was 0W and 9.6143 W. The above data for trial 1 and trial 2 is given in the table 2 and 4. Furthermore, whenever increase the scale reading the angular speed will decrease and the test will increase for mass, torque and power.

 

REFERENCES

 

  1. Engineering Fluid Mechanices by John Wiley and Sons,11 Edition.
  2. Pelton Wheel Water Turbine, Ron Amberger’s