tables
TRANSCRIPT
그림 B-1 여러 물질의 점성계수 (1 atm)
그림 B-2 여러 물질의 동점성계수 (1 atm)
T, ℃ ρ, kg/m3 μ, N·s/m2 ν, m2/s E, N/m2
0 1000 1.788 x10-3 1.788 x10-6 204 x107
10 1000 1.307 x10-3 1.307 x10-6 211 x107
20 998 1.003 x10-3 1.005 x10-6 220 x107
30 996 0.799 x10-3 0.802 x10-6 223 x107
40 992 0.657 x10-3 0.662 x10-6 227 x107
50 988 0.548 x10-3 0.555 x10-6 230 x107
60 983 0.467 x10-3 0.475 x10-6 228 x107
70 978 0.405 x10-3 0.414 x10-6 225 x107
80 972 0.355 x10-3 0.365 x10-6 221 x107
90 965 0.316 x10-3 0.327 x10-6 216 x107
100 958 0.283 x10-3 0.295 x10-6 207 x107
표 C-1 물의 밀도와 점성 및 동점성계수, 체적탄성계수
* 1 atm 상태
T, ℃ ρ, kg/m3 μ, N·s/m2 ν, m2/s
-40 1.52 1.51 x10-5 0.99 x10-5
0 1.29 1.71 x10-5 1.33 x10-5
20 1.20 1.80 x10-5 1.50 x10-5
50 1.09 1.95 x10-5 1.79 x10-5
100 0.946 2.17 x10-5 2.30 x10-5
150 0.835 2.38 x10-5 2.85 x10-5
200 0.746 2.57 x10-5 3.45 x10-5
250 0.675 2.75 x10-5 4.08 x10-5
300 0.616 2.93 x10-5 4.75 x10-5
400 0.525 3.25 x10-5 6.20 x10-5
500 0.457 3.55 x10-5 7.77 x10-5
표 C-2 공기의 밀도와 점성계수, 동점성계수 (1atm)
Liquid ρ,
kg/m3 μ, kg/m·s σ, N/m Pv, N/m2
Bulk
modulus
E, N/m2
Ammonia 608 2.20 x10-4 2.13 x10-2 9.10 x105 —
Benzene 881 6.51 x10-4 2.88 x10-2 1.01 x104 1.4 x109
Carbon tetrachloride 1590 9.67 x10-4 2.70 x10-2 1.20 x104 9.65 x108
Ethanol 789 1.20 x10-3 2.28 x10-2 5.7 x103 9.0 x108
Ethylene glycol 1117 2.14 x10-2 4.84 x10-2 1.2 x10 —
Gasoline 680 2.92 x10-4 2.16 x10-2 5.51 x104 9.58 x108
Glycerin 1260 1.49 6.33 x10-2 1.4 x10-2 4.34 x109
Kerosene 804 1.92 x10-3 2.8 x10-2 3.11 x103 1.6 x109
Mercury 13550 1.56 x10-3 4.84 x10-1 1.1 x10-3 2.55 x1010
Methanol 791 5.98 x10-4 2.25 x10-2 1.34 x104 8.3 x108
SAE 10W oil 870 1.04 x10-1 3.6 x10-2 — 1.31 x109
SAE 30W oil 891 2.9 x10-1 3.5 x10-2 — 1.38 x109
Water 998 1.00 x10-3 7.28 x10-2 2.34 x103 2.19 x109
Seawater 1025 1.07 x10-3 7.28 x10-2 2.34 x103 2.33 x109
표 C-3 일반 액체의 물리적 성질 (1atm, 20℃ 상태)
GasChemical
formula
Molar
massγ N/m3 kg·K
kJkg·K
kJ
Air
Argon
Carbon Dioxide
C a r b o n
Monoxide
Ethane
Helium
Hydrogen
Methane
Nitrogen
Oxygen
Propane
Steam
-
Ar
CO2
CO
C2H6
He
H2
CH4
N2
O2
C3H8
H2O
28.97
39.94
44.01
28.01
30.07
4.003
2.016
16.04
28.02
32.00
44.10
18.02
11.8
16.3
17.9
11.4
13.1
1.63
0.822
6.54
11.4
13.1
19.2
7.35
0.287
0.2081
0.1889
0.2968
0.2765
2.077
4.124
0.5184
0.2968
0.2598
0.1886
0.4615
1.004
0.5203
0.8418
1.041
1.766
5.193
14.21
2.254
1.042
0.9216
1.679
1.872
1.40
1.667
1.287
1.40
1.184
1.667
1.40
1.30
1.40
1.394
1.12
1.33
표 C-4 일반 기체의 물리적 성질 (1atm, 20℃ 상태)
T, ℃ σ, N/m Pv, kPa c, m/s
0 0.0756 0.611 1402
10 0.0742 1.227 1447
20 0.0728 2.337 1482
30 0.0712 4.242 1509
40 0.0696 7.375 1529
50 0.0679 12.34 1542
60 0.0662 19.92 1551
70 0.0644 31.16 1553
80 0.0626 47.35 1554
90 0.0608 70.11 1550
100 0.0589 101.3 1543
120 0.0550 198.5 1518
140 0.0509 361.3 1483
160 0.0466 617.8 1440
180 0.0422 1002 1389
200 0.0377 1554 1334
220 0.0331 2318 1268
240 0.0284 3344 1192
260 0.0237 4688 1110
280 0.0190 6412 1022
300 0.0144 8581 920
320 0.0099 11274 800
340 0.0056 14586 630
360 0.0019 18651 370
374* 0.0* 22,090* 0*
표 C-5 물의 표면장력, 증기압, 음속
* 임계상태
z, m T, K P, Pa ρ, kg/m3 c, m/s , Pa-s -500 291.41 107,508 1.2854 342.2
0 288.16 101,350 1.2255 340.3 1.79x10-5
500 284.91 95,480 1.1677 338.4
1000 281.66 89,889 1.1120 336.5
1500 278.41 84,565 1.0583 334.5
2000 275.16 79,500 1.0067 332.6 1.73x10-5
2500 271.91 74,684 0.9570 330.6
3000 268.66 70,107 0.9092 328.6
3500 265.41 65,759 0.8633 326.6
4000 262.16 61,633 0.8191 324.6 1.66x10-5
4500 258.91 57,718 0.7768 322.6
5000 255.66 54,008 0.7361 320.6
5500 252.41 50,493 0.6970 318.5
6000 249.16 47,166 0.6596 316.5 1.60x10-5
6500 245.91 44,018 0.6237 314.4
7000 242.66 41,043 0.5893 312.3
7500 239.41 38,233 0.5564 310.2
8000 236.16 35,581 0.5250 308.1 1.53x10-5
8500 232.91 33,080 0.4949 306.0
9000 229.66 30,723 0.4661 303.8
9500 226.41 28,504 0.4387 301.7
10,000 223.16 26,416 0.4125 299.5 1.46x10-5
10,500 219.91 24,455 0.3875 297.3
11,000 216.66 22,612 0.3637 295.1
11,500 216.66 20,897 0.3361 295.1
12,000 216.66 19,312 0.3106 295.1 1.42x10-5
12,500 216.66 17,847 0.2870 295.1
13,000 216.66 16,494 0.2652 295.1
13,500 216.66 15,243 0.2451 295.1
14,000 216.66 14,087 0.2265 295.1 1.42x10-5
14,500 216.66 13,018 0.2094 295.1
15,000 216.66 12,031 0.1935 295.1
15,500 216.66 11,118 0.1788 295.1
16,000 216.66 10,275 0.1652 295.1 1.42x10-5
16,500 216.66 9496 0.1527 295.1
표 C-6 표고에 따른 대기의 성질
z, m T, K P, Pa ρ, kg/m3 c, m/s , Pa-s 17,000 216.66 8775 0.1411 295.1
17,500 216.66 8110 0.1304 295.1
18,000 216.66 7495 0.1205 295.1 1.42x10-5
18,500 216.66 6926 0.1114 295.1
19,000 216.66 6401 0.1029 295.1
19,500 216.66 5915 0.0951 295.1
20,000 216.66 5467 0.0879 295.1 1.42x10-5
22,000 218.6 4048 0.0645 296.4
24,000 220.6 2972 0.0469 297.8 1.44x10-5
26,000 222.5 2189 0.0343 299.1
28,000 224.5 1616 0.0251 300.4
30,000 226.5 1197 0.0184 301.7 1.51x10-5
40,000 250.4 287 0.0040 317.2
50,000 270.7 80 0.0010 329.9
60,000 255.7 22 0.0003 320.6
70,000 219.7 6 0.0001 297.2
표 C-6 계속
압축성 유동표
표 D-1 1차원 이상기체의 등엔트로피 유동 κ=1.4
M A/A* P/P0 ρ/ρ0 T/T0 M A/A* P/P0 ρ/ρ0 T/T0
0.00
0.01
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
0.18
0.20
0.22
0.24
0.26
0.28
0.30
0.32
0.34
0.36
0.38
0.40
0.42
0.44
0.46
0.48
0.50
0.52
∞
57.87
28.94
14.48
9.67
7.26
5.82
4.86
4.18
3.67
3.28
2.96
2.71
2.50
2.32
2.17
2.04
1.92
1.82
1.74
1.66
1.59
1.53
1.47
1.42
1.38
1.34
1.30
1.000
0.9999
0.9997
0.999
0.997
0.996
0.993
0.990
0.986
0.982
0.978
0.973
0.967
0.961
0.954
0.947
0.939
0.932
0.923
0.914
0.905
0.896
0.886
0.876
0.865
0.854
0.843
0.832
1.000
0.9999
0.9999
0.999
0.998
0.997
0.995
0.993
0.990
0.987
0.984
0.980
0.976
0.972
0.967
0.962
0.956
0.951
0.944
0.938
0.931
0.924
0.917
0.909
0.902
0.893
0.885
0.877
1.000
0.9999
0.9999
0.9996
0.999
0.999
0.998
0.997
0.996
0.995
0.994
0.992
0.990
0.989
0.987
0.985
0.982
0.980
0.977
0.975
0.972
0.969
0.966
0.963
0.959
0.956
0.952
0.949
0.54
0.56
0.58
0.60
0.62
0.64
0.66
0.68
0.70
0.72
0.74
0.76
0.78
0.80
0.82
0.84
0.86
0.88
0.90
0.92
0.94
0.96
0.98
1.00
1.02
1.04
1.06
1.08
1.27
1.24
1.21
1.19
1.17
1.16
1.13
1.12
1.09
1.08
1.07
1.06
1.05
1.04
1.03
1.02
1.02
1.01
1.01
1.01
1.00
1.00
1.00
1.00
1.00
1.00
1.00
1.01
0.820
0.808
0.796
0.784
0.772
0.759
0.747
0.734
0.721
0.708
0.695
0.692
0.669
0.656
0.643
0.630
0.617
0.604
0.591
0.578
0.566
0.553
0.541
0.528
0.516
0.504
0.492
0.480
0.868
0.859
0.850
0.840
0.831
0.821
0.812
0.802
0.792
0.781
0.771
0.761
0.750
0.740
0.729
0.719
0.708
0.698
0.687
0.676
0.666
0.655
0.645
0.632
0.623
0.613
0.602
0.592
0.945
0.941
0.937
0.933
0.929
0.924
0.920
0.915
0.911
0.906
0.901
0.896
0.891
0.886
0.851
0.876
0.871
0.865
0.860
0.855
0.850
0.844
0.839
0.833
0.828
0.822
0.817
0.810
표 D-1 계속
M A/A* P/P0 ρ/ρ0 T/T0 M A/A* P/P0 ρ/ρ0 T/T0
1.10
1.12
1.14
1.16
1.18
1.20
1.22
1.24
1.26
1.28
1.30
1.32
1.34
1.36
1.38
1.40
1.42
1.44
1.46
1.48
1.50
1.52
1.54
1.56
1.58
1.60
1.62
1.64
1.66
1.68
1.70
1.72
1.01
1.01
1.02
1.02
1.02
1.03
1.04
1.04
1.05
1.06
1.07
1.08
1.08
1.09
1.10
1.11
1.13
1.14
1.15
1.16
1.18
1.19
1.20
1.22
1.23
1.25
1.27
1.28
1.30
1.32
1.34
1.36
0.468
0.457
0.445
0.434
0.423
0.412
0.402
0.391
0.381
0.371
0.361
0.351
0.342
0.332
0.323
0.314
0.305
0.297
0.289
0.280
0.272
0.265
0.257
0.250
0.242
0.235
0.228
0.222
0.215
0.209
0.203
0.197
0.582
0.571
0.561
0.551
0.541
0.531
0.521
0.512
0.502
0.492
0.483
0.474
0.464
0.455
0.446
0.437
0.429
0.420
0.412
0.403
0.395
0.387
0.379
0.371
0.363
0.356
0.348
0.341
0.334
0.327
0.320
0.313
0.805
0.799
0.794
0.788
0.782
0.776
0.771
0.765
0.759
0.753
0.747
0.742
0.736
0.730
0.724
0.718
0.713
0.707
0.701
0.695
0.690
0.684
0.678
0.672
0.667
0.661
0.656
0.650
0.645
0.639
0.634
0.628
1.74
1.76
1.78
1.80
1.82
1.84
1.86
1.88
1.90
1.92
1.94
1.96
1.98
2.00
2.02
2.04
2.06
2.08
2.10
2.12
2.14
2.16
2.18
2.20
2.22
2.24
2.26
2.28
2.30
2.32
2.34
2.36
1.38
1.40
1.42
1.44
1.46
1.48
1.51
1.53
1.56
1.58
1.61
1.63
1.66
1.69
1.72
1.75
1.78
1.81
1.84
1.87
1.90
1.94
1.97
2.01
2.04
2.05
2.12
2.15
2.19
2.23
2.27
2.32
0.191
0.185
0.179
0.174
0.169
0.164
0.159
0.154
0.149
0.145
0.140
0.136
0.132
0.128
0.124
0.120
0.116
0.113
0.109
0.106
0.103
0.100
0.097
0.094
0.091
0.088
0.085
0.083
0.080
0.078
0.075
0.073
0.306
0.300
0.293
0.287
0.281
0.275
0.269
0.263
0.257
0.251
0.246
0.240
0.235
0.230
0.225
0.220
0.215
0.210
0.206
0.201
0.197
0.192
0.188
0.184
0.180
0.176
0.172
0.168
0.165
0.161
0.157
0.154
0.623
0.617
0.612
0.607
0.602
0.596
0.591
0.586
0.581
0.576
0.571
0.566
0.561
0.556
0.551
0.546
0.541
0.536
0.531
0.526
0.522
0.517
0.513
0.508
0.504
0.499
0.495
0.490
0.486
0.481
0.477
0.473
표 D-1 계속
M A/A* P/P0 ρ/ρ0 T/T0 M A/A* P/P0 ρ/ρ0 T/T0
2.38
2.40
2.42
2.44
2.46
2.48
2.50
2.52
2.54
2.56
2.58
2.60
2.62
2.64
2.66
2.68
2.70
2.72
2.74
2.76
2.78
2.36
2.40
2.45
2.49
2.54
2.59
2.64
2.69
2.74
2.79
2.84
2.90
2.95
3.01
3.06
3.12
3.18
3.24
3.31
3.37
3.43
0.071
0.068
0.066
0.064
0.062
0.060
0.059
0.057
0.055
0.053
0.051
0.050
0.049
0.047
0.046
0.044
0.043
0.042
0.040
0.039
0.038
0.150
0.147
0.144
0.141
0.138
0.135
0.131
0.129
0.126
0.123
0.121
0.118
0.115
0.113
0.110
0.108
0.106
0.103
0.101
0.099
0.097
0.469
0.465
0.461
0.456
0.452
0.448
0.444
0.441
0.437
0.433
0.429
0.425
0.421
0.418
0.414
0.410
0.407
0.403
0.400
0.396
0.393
2.80
2.82
2.84
2.86
2.88
2.90
2.92
2.94
2.96
2.98
3.00
3.10
3.20
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4.0
3.50
3.57
3.64
3.71
3.78
3.85
3.92
4.00
4.05
4.15
4.23
4.66
5.12
5.63
6.18
6.79
7.45
8.17
8.95
9.80
10.72
0.037
0.036
0.035
0.034
0.033
0.032
0.031
0.030
0.029
0.028
0.027
0.023
0.020
0.0175
0.015
0.013
0.0114
0.0099
0.0086
0.0075
0.0066
0.095
0.093
0.091
0.089
0.087
0.085
0.083
0.081
0.080
0.078
0.076
0.0685
0.062
0.0555
0.050
0.045
0.041
0.037
0.0335
0.030
0.028
0.389
0.386
0.383
0.379
0.376
0.373
0.370
0.366
0.363
0.360
0.357
0.342
0.328
0.315
0.302
0.290
0.278
0.2675
0.257
0.247
0.238
표 D-2 1차원유동 이상기체의 수직 충격파 κ=1.4
M1 M2 P2/P1 ρ2/ρ1 T2/T1 P02/P01 A*2/A*1
1.00 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
1.05 0.9531 1.1196 1.0840 1.0328 0.9999 1.0001
1.10 0.9118 1.2450 1.1691 1.0649 0.9989 1.0011
1.15 0.8750 1.3763 1.2550 1.0966 0.9967 1.0033
1.20 0.8422 1.5133 1.3416 1.1280 0.9928 1.0073
1.25 0.8126 1.6563 1.4286 1.1594 0.9871 1.0131
1.30 0.7860 1.8050 1.5157 1.1909 0.9794 1.0211
1.35 0.7618 1.9596 1.6028 1.2226 0.9697 1.0312
1.40 0.7397 2.1200 1.6897 1.2547 0.9582 1.0436
1.45 0.7196 2.2863 1.7761 1.2872 0.9448 1.0584
1.50 0.7011 2.4583 1.8621 1.3202 0.9298 1.0755
1.55 0.6841 2.6363 1.9473 1.3538 0.9132 1.0951
1.60 0.6684 2.8200 2.0317 1.3880 0.8952 1.1171
1.65 0.6540 3.0096 2.1152 1.4228 0.8760 1.1416
1.70 0.6405 3.2050 2.1977 1.4583 0.8557 1.1686
1.75 0.6281 3.4063 2.2791 1.4946 0.8346 1.1982
1.80 0.6165 3.6133 2.3592 1.5316 0.8127 1.2305
1.85 0.6057 3.8263 2.4381 1.5693 0.7902 1.2655
1.90 0.5956 4.0450 2.5157 1.6079 0.7674 1.3032
1.95 0.5862 4.2696 2.5919 1.6473 0.7442 1.3437
2.00 0.5774 4.5000 2.6667 1.6875 0.7209 1.3872
2.05 0.5691 4.7363 2.7400 1.7285 0.6975 1.4337
2.10 0.5613 4.9783 2.8119 1.7705 0.6742 1.4832
2.15 0.5540 5.2263 2.8823 1.8132 0.6511 1.5360
2.20 0.5471 5.4800 2.9512 1.8569 0.6281 1.5920
2.25 0.5406 5.7396 3.0186 1.9014 0.6055 1.6514
2.30 0.5344 6.0050 3.0845 1.9468 0.5833 1.7144
2.35 0.5286 6.2763 3.1490 1.9931 0.5615 1.7810
2.40 0.5231 6.5533 3.2119 2.0403 0.5401 1.8514
2.45 0.5179 6.8363 3.2733 2.0885 0.5193 1.9256
2.50 0.5130 7.1250 3.3333 2.1375 0.4990 2.0039
2.55 0.5083 7.4196 3.3919 2.1875 0.4793 2.0865
2.60 0.5039 7.7200 3.4490 2.2383 0.4601 2.1733
2.65 0.4996 8.0262 3.5047 2.2902 0.4416 2.2647
2.70 0.4956 8.3383 3.5590 2.3429 0.4236 2.3608
2.75 0.4918 8.6562 3.6119 2.3966 0.4062 2.4617
표 D-2 계속
M1 M2 P2/P1 ρ2/ρ1 T2/T1 P02/P01 A*2/A*1
2.80 0.4882 8.9800 3.6636 2.4512 0.3895 2.5676
2.85 0.4847 9.3063 3.7139 2.5067 0.3733 2.6788
2.90 0.4814 9.6450 3.7629 2.5632 0.3577 2.7954
2.95 0.4782 9.9862 3.8106 2.6206 0.3428 2.9176
3.00 0.4752 10.3333 3.8571 2.6790 0.3283 3.0456
3.05 0.4723 10.6863 3.9025 2.7383 0.3145 3.1796
3.10 0.4695 11.0450 3.9466 2.7986 0.3012 3.3199
3.15 0.4669 11.4096 3.9896 2.8598 0.2885 3.4667
3.20 0.4643 11.7800 4.0315 2.9220 0.2762 3.6202
3.25 0.4619 12.1563 4.0723 2.9851 0.2645 3.7806
3.30 0.4596 12.5383 4.1120 3.0492 0.2533 3.9483
3.35 0.4573 12.9263 4.1507 3.1142 0.2425 4.1234
3.40 0.4552 13.3200 4.1884 3.1802 0.2322 4.3062
3.45 0.4531 13.7196 4.2251 3.2472 0.2224 4.4969
3.50 0.4512 14.1250 4.2609 3.3151 0.2129 4.6960
3.55 0.4492 14.5363 4.2957 3.3839 0.2039 4.9036
3.60 0.4474 14.9533 4.3296 3.4537 0.1953 5.1200
3.65 0.4456 15.3763 4.3627 3.5245 0.1871 5.3456
3.70 0.4439 15.8050 4.3949 3.5962 0.1792 5.5806
3.75 0.4423 16.2396 4.4262 3.6689 0.1717 5.8253
3.80 0.4407 16.6800 4.4568 3.7426 0.1645 6.0801
3.85 0.4392 17.1263 4.4866 3.8172 0.1576 6.3454
3.90 0.4377 17.5783 4.5156 3.8928 0.1510 6.6213
3.95 0.4363 18.0363 4.5439 3.9694 0.1448 6.9084
4.00 0.4350 18.5000 4.5714 4.0469 0.1388 7.2069
4.05 0.4336 18.9696 4.5983 4.1254 0.1330 7.5172
4.10 0.4324 19.4450 4.6245 4.2048 0.1276 7.8397
4.15 0.4311 19.9263 4.6500 4.2852 0.1223 8.1747
4.20 0.4299 20.4133 4.6749 4.3666 0.1173 8.5227
4.25 0.4288 20.9063 4.6992 4.4489 0.1126 8.8840
4.30 0.4277 21.4050 4.7229 4.5322 0.1080 9.2591
4.35 0.4266 21.9096 4.7460 4.6165 0.1036 9.6484
4.40 0.4255 22.4200 4.7685 4.7017 0.0995 10.0522
4.45 0.4245 22.9362 4.7904 4.7879 0.0955 10.4711
4.50 0.4236 23.4583 4.8119 4.8751 0.0917 10.9054
4.55 0.4226 23.9862 4.8328 4.9632 0.0881 11.3556
표 D-2 계속
M1 M2 P2/P1 ρ2/ρ1 T2/T1 P02/P01 A*2/A*1 4.60 0.4217 24.5200 4.8532 5.0523 0.0846 11.8222
4.65 0.4208 25.0596 4.8731 5.1424 0.0813 12.3057
4.70 0.4199 25.6050 4.8926 5.2334 0.0781 12.8065
4.75 0.4191 26.1562 4.9116 5.3254 0.0750 13.3251
4.80 0.4183 26.7133 4.9301 5.4184 0.0721 13.8620
4.85 0.4175 27.2762 4.9482 5.5124 0.0694 14.4177
4.90 0.4167 27.8450 4.9659 5.6073 0.0667 14.9928
4.95 0.4160 28.4196 4.9831 5.7032 0.0642 15.5878
5.00 0.4152 29.0000 5.0000 5.8000 0.0617 16.2032