Page 331 - Fluid Mechanics and Thermodynamics of Turbomachinery

312 Appendix 2
Chapter 5

1. 14 stages.
2. 30.6 ° C.
3. 132.5 m/s, 56.1 kg/s; 10.1 MW.
4. 86.5 per cent; 9.28 MW.
5. 0.59, 0.415.
6. 33.5 deg, 8.5 deg, 52.9 deg; 0.827; 34.5 deg, 1.11.
7. 56.9 deg, 41 deg; 21.8 deg.
8. (1) 244.7 m/s; (2) 25.42 kg/s, 16 866 rev/min; (3) 38.33 kJ/kg; (4) 84.7 per cent;
(5) 5.135 stages, 0.9743 MW; (6) With five stages and the same loading, then
the pressure ratio is 5.781. However, to maintain a pressure ratio of 6.0, the
specific work must be increased to 39.37 kJ/kg. With five stages the weight and
cost would be lower.
9. (a) 16.22 deg, 22.08 deg, 33.79 deg. (b) 467.2 Pa, 7.42 m/s.
10. (1) ˇ 1 D 70.79 ° , ˇ 2 D 68.24 deg; (2) 83.96 per cent; (3) 399.3 Pa; (4) 7.144 cm.
11. (1) 141.1 Pa, 0.588; (2) 60.48 Pa; (3) 70.14 per cent.
Chapter 6

1. 55 and 47 deg. 2. 0.602, 1.38, 0.08 (i.e. implies large losses near hub)
4. 70.7 m/s. 5. Work done is constant at all radii;
2
c 2 D constant 2a [.r 2 1/ 2.b/a/ ln r]
x1
2
c 2 D constant 2a [.r 2 1/ 2.b/a/ ln r]
x2
ˇ 1 D 43.2 deg,ˇ 2 D 10.4 deg .
6. (1) 480 m/s; (2) 0.818; (3) 0.08; (4) 3.42 MW; (5) 906.8 K, 892.2 K.
7. (1) 62 deg; (2) 61.3 and 7.6 deg; (3) 45.2 and 55.9 deg, (4) 0.175, 0.477.
8. See Figure 6.13. For (1) at x/r t D 0.05, c x D 113.2 m/s.
Chapter 7

1. (1) 27.9 m/s; (2) 880 rev/min, 0.604 m; (3) 182 W; (4) 0.0526 (rad)
2. 579 kW; 169 mm; 50.0.
3. 0.875; 5.61 kg/s.
4. 26,800 rev/min; 0.203 m, 0.525.
5. 0.735, 90.5 per cent.
6. (1) 542.5 kW; (2) 536 and 519 kPa; (3) 586 and 240.8 kPa, 1.20, 176 m/s; (4) 0.875;
(5) 0.22; (6) 28,400 rev/min.
3
7. (1) 29.4 dm /s; (2) 0.781; (3) 77.7 deg; (4) 7.82 kW.
8. (1) 14.11 cm; (2) 2.635 m; (3) 0.7664; (4) 17.73 m; (5) 13.8 kW; s D 0.722,
B D 0.752.
9. (a) See text (b) (1) 32,214 rev/min; (2) 5.246 kg/s; (c) (1) 1.254 MW; (2) 6.997.
Chapter 8

1. 586 m/s, 73.75 deg.
2. (1) 205.8 kPa, 977 K; (2) 125.4 mm, 89,200 rev/min; (3) 1 MW.