Fluid properties interpolater
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Transcript of Fluid properties interpolater
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Melting point (K) k (W/m.K)
AISI 304 1670.00 7900.00 477.00 14.90 3.95
353 =FORECAST(NewX,OFFSET(KnownY,MA
Err:501 OFFSET(KnownX,MATCH(NewX,KnownX
T (K)
100 9.20
200 12.60
400 16.60
600 19.0
00 22.601000 25.40
1200 2.00
1500 31.70
!ompo"ition p (k!"3) Cp (#!k$K)
%$10&
("2 !')
T(K)
k (!"K)
k (!"K)
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#$ope$tie" %t &%$io'" tempe$%t'$e" (K)
100 200 400 600 00 1000 1200 1500
9.20 12.60 16.60 19.0 22.60 25.40 2.00 31.70
TCH(NewX,KnownX,1)-1,0,2),
,1)-1,0,2))
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A*+
T(K)
100 3$55&2 1$032 1$1 2
150 2$33& 1$012 103$ $2&200 1$5. 1$00 132$5 $5/
250 1$3/ 1$00& 15/$& 11$
300 1$1&1 1$00 1.$& 15$./
350 0$//5 1$00/ 20.$2 20$/2
00 0$.11 1$01 230$1 2&$1
50 0$ 1$021 250$ 32$3/
500 0$&/& 1$030 20$1 3.$/
550 0$&32/ 1$00 2..$ 5$5
&00 0$5.0 1$051 305$. 52$&/
&50 0$535& 1$0&3 322$5 &0$21
00 0$/5 1$05 33.$. &.$150 0$&3 1$0. 35$& &$3
.00 0$35 1$0// 3&/$. .$/3
.50 0$0/ 1$110 3.$3 /3$.
/00 0$3.&. 1$121 3/.$1 102$/
/50 0$3&&& 1$131 11$3 112$2
1000 0$3.2 1$11 2$ 121$/
1100 0$31&& 1$15/ / 11$.
1200 0$2/02 1$15 3 1&2$/
1300 0$2&/ 1$1./ /& 1.5$1
100 0$2.. 1$20 530 213
1500 0$2322 1$230 55 20
1&00 0$21 1$2. 5. 2&.100 0$20/ 1$2& &11 2/.
1.00 0$1/35 1$2.& &3 32/
1/00 0$1.33 1$30 &&3 3&2
2000 0$11 1$33 &./ 3/&
2100 0$1&5. 1$32 15 31
2200 0$15.2 1$1 0 &.
2300 0$1513 1$. && 50&
200 0$1. 1$55. /2 5
2500 0$13./ 1$&&5 .1. 5./
3000 0$1135 2$2& /55 .1
e+ po+
T(K)
3.0 0$5.&3 2$0& 12$1 21$&.
00 0$552 2$01 13$ 2$25
50 0$/02 1$/. 152$5 31$11
500 0$05 1$/.5 10$ 3.$&.
550 0$005 1$// 1..$ $0
&00 0$3&52 2$02& 20&$ 5&$&
&50 0$33. 2$05& 22$ &&$.
00 0$31 2$0.5 22$& $2&50 0$2/31 2$11/ 2&0$ ..$.
.00 0$23/ 2$152 2.$& 101$
p (k!"3) Cp (k#!k$K) 4$10 (N$'!"2) $10& ("2 !')
p (k!"3) Cp (k#!k$K) 4$10 (N$'!"2) $10& ("2 !')
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.50 0$25/ 2$1.& 2/&$/ 115$1
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6+
/$3 2$5 0$.&
13$. 5$. 0$5.1.$1 10$3 0$3
22$3 15$/ 0$20
2&$3 22$5 0$0
30 2/$/ 0$00
33$. 3.$3 0$&/0
3$3 $2 0$&.&
0$ 5&$ 0$&.
3$/ &&$ 0$&.3
&$/ &$/ 0$&.5
/$ .$3 0$&/0
52$ /. 0$&/55$/ 10/ 0$02
5$3 120 0$0/
5/$& 131 0$1&
&2 13 0$20
&$3 155 0$23
&&$ 1&. 0$2&
1$5 1/5 0$2.
&$3 22 0$2.
.2 23. 0$1/
/1 303 0$03
100 350 0$&.5
10& 3/0 0$&..113 35 0$&.5
120 .2 0$&.3
12. 53 0$&
13 5./ 0$&2
1 && 0$&&
1&0 1 0$&55
15 .3 0$&
1/& .&/ 0$&30
222 /&0 0$&13
.& 150 0$53&
6+
2$& 20$ 1$0&
2&$1 23$ 1$0
2/$/ 30$. 1$01
33$/ 3.$. 0$//.
3$/ $ 0$//3
2$2 5 0$//3
&$ &&$. 0$//&
50$5 $1 15$/ ..$ 1
5/$2 100 1$01
k$103 (!"K) %$10& ("2 !')
k$103 (!"K) %$10& ("2 !')
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&3$ 113 1$02
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305
Err:501
Err:501
Err:501
Err:501
Err:501
Err:501
6+ Err:501
Source
=FORECAST(NewX,OFFSET(KnownY,MATCH(NewX,KnownX,1)-1,0,2),
OFFSET(KnownX,MATCH(NewX,KnownX,1)-1,0,2))
E7"p8e *n 8*ne+ *ne+po8*on e79e8 ':ee
&23
Err:501
Err:501
Err:501
Err:501
Err:501
Err:501
6+ Err:501
T(K)
p (k!"3)C
p
(k#!k$K)
4$10 (N$'!"2)
$10& ("2 !')
k$103 (!"K)
%$10& ("2 !')
ttp//***.+l'ele%,"o,t*%$e.-om/#$o'-t"/%g$%/ine%$Inte$pol%tion-el.pp
T(K)
p (k!"3)C
p (k#!k$K)
4$10 (N$'!"2)
$10& ("2 !')
k$103 (!"K)
%$10& ("2 !')
http://www.blueleafsoftware.com/Products/Dagra/LinearInterpolationExcel.phphttp://www.blueleafsoftware.com/Products/Dagra/LinearInterpolationExcel.php
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T(K)
I I 273 99.1 1.796 35 420 147
20 95.3 1.27 217 2430 144
290 90 1.6 99.9 1120 145
300 4.1 1.909 4.6 550 145
310 77.9 1.951 25.3 2 145
320 71. 1.993 14.1 161 143
330 65. 2.035 .36 96.6 141
340 59.9 2.076 5.31 61.7 139
350 53.9 2.11 3.56 41.7 13
360 47. 2.161 2.52 29.7 13
370 41. 2.206 1.6 22 137
30 36 2.25 1.41 16.9 136
390 30.6 2.294 1.1 13.3 135
400 25.1 2.337 0.74 10.6 134
410 1.9 2.31 0.69 .52 133
420 12.1 2.427 0.564 6.94 133430 06.5 2.471 0.47 5.3 132
p (kg/m3) !p (k/kg.K).102 (."/m2)
8.106 (m2/")k.103 (W/mK)
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#$366
0.91 47000 0.7 Err:501
0. 27500 0.7 Err:501
0.72 12900 0.7 Err:501
0.59 6400 0.7 Err:501
0.47 3400 0.7 Err:501
0.23 1965 0.7 Err:501
0. 1205 0.7 #$ Err:501
0.779 793 0.7 Err:501
0.763 546 0.7
0.753 395 0.7
0.73 300 0.7
0.723 233 0.7
0.709 17 0.7
0.695 152 0.7
0.62 125 0.7
0.675 103 0.70.662 0.7
:.107 (m2/") ;.103 (K
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Table A.6: Water properties
T(K) 370.00
P (bar) 0.9040
1.0410
1.8610
2265.0000
Cp,f (kJ/kg.K) 4.2140
Cp,g (kJ/kg.K) 2.0170
289.0000
11.8900
679.0000
24.5000
1.8000
0.9780
59.5000
728.7000
v f(103) (m3/kg)
v g(m3/kg)
hfg
(kJ/kg)
f ! 106 ("#/m2)
g ! 106 ("#/m2)
k f ! 103 ($/m.K)
k g ! 103 ($/m.K)
Prf
Prg
%f!103 ("/m)
&f!106 (1/K)
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273.15 0.00611 1 206.3 2502
275 0.00697 1 181.7 2497
280 0.0099 1 130.4 2485
285 0.01387 1 99.4 2473
290 0.01917 1.001 69.7 2461
295 0.02617 1.002 51.94 2449
300 0.03531 1.003 39.13 2438
305 0.04712 1.005 29.74 2426
310 0.06221 1.007 22.93 2414
315 0.08132 1.009 17.82 2402
320 0.1053 1.011 13.98 2390
325 0.1351 1.013 11.06 2378
330 0.1719 1.016 8.82 2366
335 0.2167 1.018 7.09 2354
340 0.2713 1.021 5.74 2342
345 0.3372 1.024 4.683 2329
350 0.4163 1.027 3.846 2317
355 0.51 1.03 3.18 2304
360 0.6209 1.034 2.645 2291
365 0.7514 1.038 2.212 2278
370 0.904 1.041 1.861 2265
373.15 1.0133 1.044 1.679 2257
375 1.0815 1.045 1.574 2252
380 1.2869 1.049 1.337 2239
385 1.5233 1.053 1.142 2225390 1.794 1.058 0.98 2212
400 2.455 1.067 0.731 2183
410 3.302 1.077 0.553 2153
420 4.37 1.088 0.425 2123
430 5.699 1.099 0.331 2091
440 7.333 1.11 0.261 2059
450 9.319 1.123 0.208 2024
460 11.71 1.137 0.167 1989
470 14.55 1.152 0.136 1951
480 17.9 1.167 0.111 1912490 21.83 1.184 0.0922 1870
500 26.4 1.203 0.0766 1825
T'mp'rar', T(K)
Pr'##r', P(bar)
p'*+f+* v-m' (m3/kg) 'a f vapr+#a+, h
fg
(kJ/kg) v
f(103) v
g
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510 31.66 1.222 0.0631 1779
520 37.7 1.244 0.0525 1730
530 44.58 1.268 0.0445 1679
540 52.38 1.294 0.0375 1622
550 61.19 1.323 0.0317 1564
560 71.08 1.355 0.0269 1499
570 82.16 1.392 0.0228 1429580 94.51 1.433 0.0193 1353
590 108.3 1.482 0.0163 1274
600 123.5 1.541 0.0137 1176
610 137.3 1.612 0.0115 1068
620 159.1 1.705 0.0094 941
625 169.1 1.778 0.0085 858
630 179.7 1.856 0.0075 781
635 190.9 1.935 0.0066 683
640 202.7 2.075 0.0057 560
645 215.2 2.351 0.0045 361' mr' va-'
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Cp,f Cp,g
4.217 1.854 1750 8.02 569 18.2
4.211 1.855 1652 8.09 574 18.3
4.198 1.858 1422 8.29 582 18.6
4.189 1.861 1225 8.49 590 18.9
4.184 1.864 1080 8.69 598 19.3
4.181 1.868 959 8.89 606 19.5
4.179 1.872 855 9.09 613 19.6
4.178 1.877 769 9.29 620 20.1
4.178 1.882 695 9.49 628 20.4
4.179 1.888 631 9.69 634 20.7
4.18 1.895 577 9.89 640 21
4.182 1.903 528 10.09 645 21.3
4.184 1.911 489 10.29 650 21.7
4.186 1.92 453 10.49 656 22
4.188 1.93 420 10.69 660 22.3
4.191 1.941 389 10.89 668 22.6
4.195 1.954 365 11.09 668 23
4.199 1.968 343 11.29 671 23.3
4.203 1.983 324 11.49 674 23.7
4.209 1.999 306 11.69 677 24.1
4.214 2.017 289 11.89 679 24.5
4.217 2.029 279 12.02 680 24.8
4.22 2.036 274 12.09 681 24.9
4.226 2.057 260 12.29 683 25.4
4.232 2.08 248 12.49 685 25.84.239 2.104 237 12.69 686 26.3
4.256 2.158 217 13.05 688 27.2
4.278 2.221 200 13.42 688 28.2
4.302 2.291 185 13.79 688 29.8
4.331 2.369 173 14.14 685 30.4
4.36 2.46 162 14.5 682 31.7
4.4 2.56 152 14.85 678 33.1
4.44 2.68 143 15.19 673 34.6
4.48 2.79 136 15.54 667 36.3
4.53 2.94 129 15.88 660 38.14.59 3.1 124 16.23 651 40.1
4.66 3.27 118 16.59 642 42.3
p'*+f+* h'a *apa*+(kJ/kg.K)
+#*#+ ("#/m2) Th'rma- **+v+
($/mK)
f ! 106
g ! 106 k
f ! 103 k
g ! 103
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4.74 3.47 113 16.95 631 44.7
4.84 3.7 108 17.33 621 47.5
4.95 3.96 104 17.72 608 50.6
5.08 4.27 101 18.1 594 54
5.24 4.64 97 18.6 580 58.3
5.43 5.09 94 19.1 563 63.7
5.68 5.67 91 19.7 548 76.76 6.4 88 20.4 528 76.7
6.41 7.35 84 21.5 513 84.1
7 8.75 81 22.7 497 92.9
7.85 11.1 77 24.1 467 103
9.35 15.4 72 25.9 444 114
10.6 18.3 70 27 430 121
12.6 22.1 67 28 412 130
16.4 27.6 64 30 392 141
26 42 59 32 367 155
90 54 37 331 178
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Pra- mb'r
12.99 0.815 75.5 68.05
12.22 0.817 75.3 32.74
10.26 0.825 74.8 46.04
8.81 0.833 74.3 114.1
7.56 0.841 73.7 174
6.62 0.849 72.7 227.5
5.83 0.857 71.7 276.1
5.2 0.865 70.9 320.6
4.62 0.873 70 361.9
4.16 0.883 69.2 400.4
3.77 0.894 68.3 436.7
3.42 0.901 67.5 471.2
3.15 0.908 66.6 504
2.88 0.916 65.8 535.5
2.66 0.925 64.9 566
2.45 0.933 64.1 595.4
2.29 0.942 63.2 624.2
2.14 0.951 62.3 652.3
2.02 0.96 61.4 697.9
1.91 0.969 60.5 707.1
1.8 0.978 59.5 728.7
1.76 0.984 58.9 750.1
1.7 0.987 58.6 761
1.61 0.999 57.6 788
1.53 1.004 56.6 8141.47 1.013 55.6 841
1.34 1.033 53.6 896
1.24 1.054 51.5 952
1.16 1.075 49.4 1010
1.09 1.1 47.2 430
1.04 1.12 45.1 440
0.99 1.14 42.9 450
0.95 1.17 40.7 460
0.92 1.2 38.5 470
0.89 1.23 36.2 4800.87 1.25 33.9
0.86 1.28 31.6
rfa*''#+ ("/m)
!pa#+*'ff+*+'
(1/K)
Prf
Prg
%f!103 &
f!106
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0.85 1.31 29.3
0.84 1.35 26.9
0.85 1.39 24.5
0.86 1.43 22.1
0.87 1.47 19.7
0.9 1.52 17.3
0.94 1.59 15 0.99 1.68 12.8
1.05 1.84 10.5
1.14 2.15 8.4
1.3 2.6 6.3
1.52 3.46 4.5
1.65 4.2 3.5
2 4.8 2.6
2.7 6 1.5
4.2 9.6 0.8
12 26 0.1