boiler 1 2. I ul turbine countercurrent heat exchange pump 3. 6. condenser 5.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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3. A steam power plant operaten a Rankine cycle. Steam enters the turbine at P = 4.5 MPa
and T = 500 °C and exhausts at 20 ki The the pump is idea, and the turbine efficiency is 0.78.
(a) Calculate the efficiency of the Rankine vcle. Use the steam tables in Appendix A in Dahm &
Visco book for calculations.
Now the cycle is modified as shown in the Figure: a counter-
current heat exchanger is added as
("regenerative cycle").
enters and exits the turbine (now Section II) remain the same:
Steam for the feedwater heater is extracted from the turbine
a feedwater heater
The conditions at which the steam
boiler
2
(Section I) at 350 kPa, it undergoes a complete condensation,
so that at point 5 it is saturated liquid. This portion of steam
raises the temperature of the water entering the boiler so that
T=T; - 6°C.
(b) What is the thermal efficiency of the modified cycle?
(c) What fraction of the steam entering the turbine is extracted
for the feedwater heater?
I I turbine
countercurrent
heat exchange
7
pump
condenser
(d) [narrative] Propose an engineering solution for further
increase of efficiency of a cycle operating at the given conditions
in the boiler and condenser. Discuss pros and cons.
Transcribed Image Text:3. A steam power plant operaten a Rankine cycle. Steam enters the turbine at P = 4.5 MPa and T = 500 °C and exhausts at 20 ki The the pump is idea, and the turbine efficiency is 0.78. (a) Calculate the efficiency of the Rankine vcle. Use the steam tables in Appendix A in Dahm & Visco book for calculations. Now the cycle is modified as shown in the Figure: a counter- current heat exchanger is added as ("regenerative cycle"). enters and exits the turbine (now Section II) remain the same: Steam for the feedwater heater is extracted from the turbine a feedwater heater The conditions at which the steam boiler 2 (Section I) at 350 kPa, it undergoes a complete condensation, so that at point 5 it is saturated liquid. This portion of steam raises the temperature of the water entering the boiler so that T=T; - 6°C. (b) What is the thermal efficiency of the modified cycle? (c) What fraction of the steam entering the turbine is extracted for the feedwater heater? I I turbine countercurrent heat exchange 7 pump condenser (d) [narrative] Propose an engineering solution for further increase of efficiency of a cycle operating at the given conditions in the boiler and condenser. Discuss pros and cons.
Page
A-2 Saturated Steam-Temperature Increments
TICelsius)
v (m kg) v (mkg)
D" (m'/kgl
P (bar)
U" (KJ/kg)
A" (k/kgl
Sikg- KI
S(K/kg K)
0.0061
0.001000
206.13
-0.04
2374.9
-0.04
2500.9
-0.c002
9.1558
5
0.0087
0.001000
14701
21.0
2381.8
21.0
2510.1 n.a763
9,0248
10
0.0123
0.001000
10630
42.0
2300.6
420
2519.2
0.1511
88998
15
a.0176
0.001001
77.875
63.0
2395.5
63.0
2528.3
0.2245 8.7803
20
0.0234
0.001002
57.757
83.9
2402.3
83.9
25374
0.2965
8.6660
25
0.031/ 0.001003
43.337
1048
2409.1
104.8
2546.5
0.3672
8.5566
30
0.0425
0.001004
32.878
1257
2415.9
125.7
2555.5
0.4368
84520
35
a.so51 .3517
0.0563
0.001006
25,205
1466
2422.7 146.6
2564.5
40
0.0738
0.001008
19.515
1675
2429.4
167.5
2573.5
0.5724
8.2555
45
0.0959
0.001010
15.252
188.4
24361
188.4
2582.4
0.6386. .1633
50
0.1235
0.001012
12.027
2093
2442.7
209.3
2591.3
0.7038
8.0748
55
0.1576 0.001015
9.5643
2302
2449.3. 230:3 2600,1 07680 7.9898
60
0.1995
0.001017
7.6672
2512
2455.9
251.2
2608.8
0.8313
7.9081
65
0.2504
0.001020
6.1935
272.1
24624 272.1
2617.5
0.8937 7.8296
70
03120
0.001023
293.0
2468,9
293.1
2626.1
a9551
7.7540
2475,2 3140 2634.6 1.0158
75
0.3860
0,001026
4.1789
3140
314.0
7.0012
80
04741
0.001029
34052
335.0
2401.6
335.0
26430
1.0756
7.6111
85
05787 0.001032
28258
356.0
24878 3s6.0 2651.3 1.1346
75434
90
0.7018
0.001036
23591
377.0
24940
377.0
2659.5
1.1929
|25000 398.1
95
08161
0.001040
1.9805 398.0
76676
1.2504
7.4151
100
1,0142
0.001043
1.6718
419.1
2506.0
419.2
26756
1.3072
7.3541
105 1.20on
n.001047
14184
440.1
2511.9
4403
2683.4
1.3633 7.2952
110
1.4338
0,001052
1.2093
4613
2517.7
461.4
2691.1
1.4188
7.2381
O.001056
2523.3 4826
|2698.6 7.1828
115
1,6918
1.0358
4824
1,4737
120
1.9907
OL001OG0
0.891212
5036
25289
503.8
2705.9
1.52/9
7.1291
125
23224 0.001065
0.770026 5248
2534.3 525.1
2713.1
1.5816
7.0770
130
2.7028
0.0010/0
0.668004
546.1
2539.5
5464
2720.1
16346
7.0204
135
3.1333
0.001075
2544.7
6.9777
0.591729
5674 56za
567.7
2726.9 1.6872
T(Celslus)
P(barl
v-m'kal (m'kg) ü likukgi ú" (karkgi H (kurkgi H" kNkgi S lkakg-K) kurikg-KI
S Ikikg- K)
Skurkg- KI
140
36154
0.001080
0.508454
588.8
25496
6.9291
589.7
27334
1.7392
145
4.1568
0.001085
0.445962
610.2 25544 61a6 27308 1.7907
27398
6.8826
150
4.7616
0.001091
0.392453
631.7
2559.1
6322
2745.9
1.8418
68371
155
54350
a001096
0.346460
653.2 6538 2751.8 1L8924
25635
6.7925
160
6.1823
0.001 102
0.3007E2
674.8
25678
675.5
2757.4
1.9126
G.7491
165
7.0093 0.01108
0.272431
696.5 2571.9 6972 27628 1.9923
6.7066
170
7.9219
O.001114
0242589
718.2
2575.7
719.1
2/07.9
2.0417
G.GGSO
175 8.9260 0.001121 0216581
740.0 2570.4 741.0 2772.7
2.0006
6.641
180
10.0281
0.001127
0.193842
761.9
2582.8
763,1
2777.2
2.1192
6.580
783.9 2506.0 2781.4
185
11.2346 0.001134 0.173901
785.2
2.1875 65447
2785.A
2355 65059
190
12.5524
0.001141
0.156362
B06.0
2589.0
807.4
195 13.0s82 0.001149 0.140892
828.2 8208 788.8
2591.7
2.2832
6.4678
200
15,540
a.001157
0.127210
RS0.5
2594.)
8523
27920
2.3305
G4302
205
172430 0.001164 0.115078
8729
25964
u/49 2798
23777
6.3930
210
19.0/67
0,001173
0.104292
H95,4
259.3
0976
2/97.3
24245
6.3563
215
21.0584
0.001181 0.0916/9
9150
25549 920s 27993 63200
2.4712
220
23.1959
O.001190
0.08G092
20012
943.6
1a00.9
2.5177
6.2840
25.4972 L001199 o0/o
2802.1 25640 6248
225
963.7
20022
230
27.0709
0.001209
0071503
26029
5902
28029
2.6101
62128
30.6253
0.001219 on6529R
Intaa 260 101 8
28032 6.1775
235
2.6561
240
33.4G93
0.001229
2601
1037.6
2803.0
2.7020
61423
M365117 po94654
J62 1061.5
2802.2
245
0.001240
27478 6.1072
250
19.7617
0,050083
1080.8
2601.8
1085.8
2800,9
2.2015
255 4 a001264 0.045938
1104.8
2600.S 11102
27001 28192 6.0
260
46.9226
0.001276
0.042173
1129.0
2596.7
50נו1
2706.6
28849
6.0016
205
50.8529
0.001 289
an45
1154
29307 590
2595
11600
2793.5
61
111
2501.7
2.9705
5.304
375
1203.1 2500.3
12109
27as2 10224
S.8944
76
FB
24
%
&
4.
6.
Transcribed Image Text:Page A-2 Saturated Steam-Temperature Increments TICelsius) v (m kg) v (mkg) D" (m'/kgl P (bar) U" (KJ/kg) A" (k/kgl Sikg- KI S(K/kg K) 0.0061 0.001000 206.13 -0.04 2374.9 -0.04 2500.9 -0.c002 9.1558 5 0.0087 0.001000 14701 21.0 2381.8 21.0 2510.1 n.a763 9,0248 10 0.0123 0.001000 10630 42.0 2300.6 420 2519.2 0.1511 88998 15 a.0176 0.001001 77.875 63.0 2395.5 63.0 2528.3 0.2245 8.7803 20 0.0234 0.001002 57.757 83.9 2402.3 83.9 25374 0.2965 8.6660 25 0.031/ 0.001003 43.337 1048 2409.1 104.8 2546.5 0.3672 8.5566 30 0.0425 0.001004 32.878 1257 2415.9 125.7 2555.5 0.4368 84520 35 a.so51 .3517 0.0563 0.001006 25,205 1466 2422.7 146.6 2564.5 40 0.0738 0.001008 19.515 1675 2429.4 167.5 2573.5 0.5724 8.2555 45 0.0959 0.001010 15.252 188.4 24361 188.4 2582.4 0.6386. .1633 50 0.1235 0.001012 12.027 2093 2442.7 209.3 2591.3 0.7038 8.0748 55 0.1576 0.001015 9.5643 2302 2449.3. 230:3 2600,1 07680 7.9898 60 0.1995 0.001017 7.6672 2512 2455.9 251.2 2608.8 0.8313 7.9081 65 0.2504 0.001020 6.1935 272.1 24624 272.1 2617.5 0.8937 7.8296 70 03120 0.001023 293.0 2468,9 293.1 2626.1 a9551 7.7540 2475,2 3140 2634.6 1.0158 75 0.3860 0,001026 4.1789 3140 314.0 7.0012 80 04741 0.001029 34052 335.0 2401.6 335.0 26430 1.0756 7.6111 85 05787 0.001032 28258 356.0 24878 3s6.0 2651.3 1.1346 75434 90 0.7018 0.001036 23591 377.0 24940 377.0 2659.5 1.1929 |25000 398.1 95 08161 0.001040 1.9805 398.0 76676 1.2504 7.4151 100 1,0142 0.001043 1.6718 419.1 2506.0 419.2 26756 1.3072 7.3541 105 1.20on n.001047 14184 440.1 2511.9 4403 2683.4 1.3633 7.2952 110 1.4338 0,001052 1.2093 4613 2517.7 461.4 2691.1 1.4188 7.2381 O.001056 2523.3 4826 |2698.6 7.1828 115 1,6918 1.0358 4824 1,4737 120 1.9907 OL001OG0 0.891212 5036 25289 503.8 2705.9 1.52/9 7.1291 125 23224 0.001065 0.770026 5248 2534.3 525.1 2713.1 1.5816 7.0770 130 2.7028 0.0010/0 0.668004 546.1 2539.5 5464 2720.1 16346 7.0204 135 3.1333 0.001075 2544.7 6.9777 0.591729 5674 56za 567.7 2726.9 1.6872 T(Celslus) P(barl v-m'kal (m'kg) ü likukgi ú" (karkgi H (kurkgi H" kNkgi S lkakg-K) kurikg-KI S Ikikg- K) Skurkg- KI 140 36154 0.001080 0.508454 588.8 25496 6.9291 589.7 27334 1.7392 145 4.1568 0.001085 0.445962 610.2 25544 61a6 27308 1.7907 27398 6.8826 150 4.7616 0.001091 0.392453 631.7 2559.1 6322 2745.9 1.8418 68371 155 54350 a001096 0.346460 653.2 6538 2751.8 1L8924 25635 6.7925 160 6.1823 0.001 102 0.3007E2 674.8 25678 675.5 2757.4 1.9126 G.7491 165 7.0093 0.01108 0.272431 696.5 2571.9 6972 27628 1.9923 6.7066 170 7.9219 O.001114 0242589 718.2 2575.7 719.1 2/07.9 2.0417 G.GGSO 175 8.9260 0.001121 0216581 740.0 2570.4 741.0 2772.7 2.0006 6.641 180 10.0281 0.001127 0.193842 761.9 2582.8 763,1 2777.2 2.1192 6.580 783.9 2506.0 2781.4 185 11.2346 0.001134 0.173901 785.2 2.1875 65447 2785.A 2355 65059 190 12.5524 0.001141 0.156362 B06.0 2589.0 807.4 195 13.0s82 0.001149 0.140892 828.2 8208 788.8 2591.7 2.2832 6.4678 200 15,540 a.001157 0.127210 RS0.5 2594.) 8523 27920 2.3305 G4302 205 172430 0.001164 0.115078 8729 25964 u/49 2798 23777 6.3930 210 19.0/67 0,001173 0.104292 H95,4 259.3 0976 2/97.3 24245 6.3563 215 21.0584 0.001181 0.0916/9 9150 25549 920s 27993 63200 2.4712 220 23.1959 O.001190 0.08G092 20012 943.6 1a00.9 2.5177 6.2840 25.4972 L001199 o0/o 2802.1 25640 6248 225 963.7 20022 230 27.0709 0.001209 0071503 26029 5902 28029 2.6101 62128 30.6253 0.001219 on6529R Intaa 260 101 8 28032 6.1775 235 2.6561 240 33.4G93 0.001229 2601 1037.6 2803.0 2.7020 61423 M365117 po94654 J62 1061.5 2802.2 245 0.001240 27478 6.1072 250 19.7617 0,050083 1080.8 2601.8 1085.8 2800,9 2.2015 255 4 a001264 0.045938 1104.8 2600.S 11102 27001 28192 6.0 260 46.9226 0.001276 0.042173 1129.0 2596.7 50נו1 2706.6 28849 6.0016 205 50.8529 0.001 289 an45 1154 29307 590 2595 11600 2793.5 61 111 2501.7 2.9705 5.304 375 1203.1 2500.3 12109 27as2 10224 S.8944 76 FB 24 % & 4. 6.
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