Page 330 - Fluid Mechanics and Thermodynamics of Turbomachinery

APPENDIX 2

Answers to Problems

Chapter 1
3
1. 6.29 m /s.
2. 9.15 m/s; 5.33 atmospheres.
3
3. 551 rev/min, 1:10.8; 0.885 m /s; 17.85 MN.
4. 4,030 rev/min; 31.4 kg/s.

Chapter 2
1. 88.1 per cent.
2. (1) 704 K; (2) 750 K; (3) 668 K.
3
3. (1) 500 K, 0.313 m /kg; (2) 1.042.
4. 49.1 kg/s; 24 mm.
5. (1) 630 kPa, 275 ° C; 240 kPa; 201 ° C; 85 kPa, 126 ° C; 26 kPa, q D 0.988; 7 kPa,
q D 0.95; (2) 0.638, 0.655, 0.688, 0.726, 0.739; (3) 0.739, 0.724; (4) 1.075.

Chapter 3
1. 49.8 deg.
2. 0.77; C D D 0.048, C L D 2.15.
3. 1.3 deg, 9.5 deg, 1.11.
2
4. (1) 53 deg and 29.5 deg; (2) 0.962; (3) 2.17 kN/m .
5. (a) s/l D 1.0, ˛ 2 D 24.8 deg; (b) C L D 0.872.
6. (b) 57.8 deg; (c) (1) 357 kPa; (2) 0.96; (3) 0.0218, 1.075.
7. (a) ˛ 1 D 73.2 ° , ˛ 2 D 68.1 ° .

Chapter 4
2. 88 per cent; (b) 86.17 per cent, (c) 1170.6 K
3. ˛ 2 D 70 deg, ˇ 2 D 7.02 deg, ˛ 3 18.4 deg, ˇ 3 D 50.37 deg.
4. 22.7 kJ/kg; 420 kPa, 117 ° C.
5. 91 per cent.
6. (1) 1.503; (2) 39.9 deg, 59 deg; (3) 0.25; (4) 90.5 and 81.6 per cent.
7. (1) 488 m/s; (2) 266.1 m/s; (3) 0.83; (4) 0.128.
8. (1) 215 m/s; (2) 0.098, 2.68; (3) 0.872; (4) 265 ° C, 0.75 MPa.
9. (a) (1) 601.9 m/s; (2) 282.8 m/s; (3) 79.8 per cent. (b) 89.23 per cent.
10. (b) (1) 130.9 kJ/kg; (2) 301.6 m/s; (3) 707.6 K (c) (1) 10 200 rev/min; (2) 0.565 m
(3) 0.845.
11. (2) 0.2166; (3) 8740 rev/min. (4) 450.7 m/s, 0.846.
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