Glycerin at 10°C is flowing steadily through a 8-cm diameter pipe at 0.1 kg/s. What is the average velocity of the glycerin flow? What is the Reynolds number?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Properties of liquids
Temp. Density
T, °C
p, kg/m³
- 160
- 150
- 140
- 130
- 120
-110
-100
-90
20
30
40
50
60
70
- 100
-75
-50
-25
0
25
50
75
100
OBOEDERSG
0
5
10
15
20
25
30
35
40
420.2
405.0
388.8
371.1
351.4
328.8
301.0
261.7
788.4
779.1
769.6
760.1
750.4
740.4
683.8
659.3
634.3
608.2
580.6
550.7
517.3
478.5
429.6
1276
1273
1270
1267
1264
1261
1258
1255
1252
Specific
Heat
Cp, J/kg.K
3492
3580
3700
3875
4146
4611
5578
8902
2515
2577
2644
2718
2798
2885
1881
1970
2069
2180
2306
2455
2640
2896
3361
2262
2288
2320
2354
2386
2416
2447
2478
2513
Thermal
Conductivity
k, W/m.K
0.1863
0.1703
0.1550
0.1402
0.1258
0.1115
0.0967
0.0797
0.1987
0.1980
0.1972
0.1965
0.1957
0.1950
0.1383
0.1357
0.1283
0.1181
0.1068
0.0956
0.0851
0.0757
0.0669
0.2820
0.2835
0.2846
0.2856
0.2860
0.2860
0.2860
0.2860
0.2863
Thermal
Diffusivity
a, m²/s
Methane [CH]
1.270 x 10-7
1.174 x 10-7
1.077 x 10-7
9.749 x 10-8
8.634 x 10-8
7.356 x 10-8
5.761 x 10-8
3.423 x 10-8
1.002 x 10-7
9.862 x 10-8
9.690 x 10-8
9.509 x 10-8
9.320 x 10-8
9.128 x 10-8
Methanol [CH3(OH)]
Isobutane
1.075 x 10-7
1.044 x 10-7
9.773 x 10-8
8.906 x 10-8
7.974 x 10-8
7.069 x 10-8
6.233 × 10-8
5.460 × 10-8
4.634 x 10-8
Dynamic
Viscosity
μ, kg/m.s
1.133 x 10-4
9.169 x 10-5
7.551 x 10-5
6.288 x 10-5
5.257 x 10-5
4.377 x 10-5
3.577 x 10-5
2.761 x 10-5
9.773 x 10-8
9.732 x 10-8
9.662 x 10-8
9.576 x 10-8
9.484 x 10-8
9.388 x 10-8
9.291 x 10-8
9.195 X 10-8
9.101 x 10-8
Glycerin
5.857 X 10-4
5.088 x 10-4
4.460 x 10-4
3.942 x 10-4
3.510 x 10-4
3.146 x 10-4
(R600a)
9.305 x 10-4
5.624 x 10-4
3.769 x 10-4
2.688 × 10-4
1.993 x 10-4
1.510 x 10-4
1.155 x 10-4
8.785 x 10-5
6.483 x 10-5
10.49
6.730
4.241
2.496
1.519
0.9934
0.6582
0.4347
0.3073
Kinematic
Viscosity
v, m²/s
2.699 x 10-7
2.264 x 10-7
1.942 x 10-7
1.694 x 10-7
1.496 x 10-7
1.331 x 10-7
1.188 x 10-7
1.055 x 10-7
7.429 x 10-7
6.531 x 10-7
5.795 x 10-7
5.185 x 10-7
4.677 x 10-7
4.250 x 10-7
1.360 x 10-6
8.531 x 10-7
5.942 x 10-7
4.420 x 10-7
3.432 x 10-7
2.743 x 10-7
2.233 x 10-7
1.836 x 10-7
1.509 x 10-7
8.219 x 10-3
5.287 x 10-3
3.339 x 10-3
1.970 × 10-3
1.201 x 10-3
7.878 x 10-4
5.232 x 10-4
3.464 x 10-4
2.455 x 10-4
Prandtl
Number
Pr
2.126
1.927
1.803
1.738
1.732
1.810
2.063
3.082
7.414
6.622
5.980
5.453
5.018
4.655
12.65
8.167
6.079
4.963
4.304
3.880
3.582
3.363
3.256
84,101
54,327
34,561
20,570
12,671
8,392
5,631
3,767
2,697
Volume
Expansion
Coeff.
B, 1/K
0.00352
0.00391
0.00444
0.00520
0.00637
0.00841
0.01282
0.02922
0.00118
0.00120
0.00123
0.00127
0.00132
0.00137
0.00142
0.00150
0.00161
0.00177
0.00199
0.00232
0.00286
0.00385
0.00628
Transcribed Image Text:Properties of liquids Temp. Density T, °C p, kg/m³ - 160 - 150 - 140 - 130 - 120 -110 -100 -90 20 30 40 50 60 70 - 100 -75 -50 -25 0 25 50 75 100 OBOEDERSG 0 5 10 15 20 25 30 35 40 420.2 405.0 388.8 371.1 351.4 328.8 301.0 261.7 788.4 779.1 769.6 760.1 750.4 740.4 683.8 659.3 634.3 608.2 580.6 550.7 517.3 478.5 429.6 1276 1273 1270 1267 1264 1261 1258 1255 1252 Specific Heat Cp, J/kg.K 3492 3580 3700 3875 4146 4611 5578 8902 2515 2577 2644 2718 2798 2885 1881 1970 2069 2180 2306 2455 2640 2896 3361 2262 2288 2320 2354 2386 2416 2447 2478 2513 Thermal Conductivity k, W/m.K 0.1863 0.1703 0.1550 0.1402 0.1258 0.1115 0.0967 0.0797 0.1987 0.1980 0.1972 0.1965 0.1957 0.1950 0.1383 0.1357 0.1283 0.1181 0.1068 0.0956 0.0851 0.0757 0.0669 0.2820 0.2835 0.2846 0.2856 0.2860 0.2860 0.2860 0.2860 0.2863 Thermal Diffusivity a, m²/s Methane [CH] 1.270 x 10-7 1.174 x 10-7 1.077 x 10-7 9.749 x 10-8 8.634 x 10-8 7.356 x 10-8 5.761 x 10-8 3.423 x 10-8 1.002 x 10-7 9.862 x 10-8 9.690 x 10-8 9.509 x 10-8 9.320 x 10-8 9.128 x 10-8 Methanol [CH3(OH)] Isobutane 1.075 x 10-7 1.044 x 10-7 9.773 x 10-8 8.906 x 10-8 7.974 x 10-8 7.069 x 10-8 6.233 × 10-8 5.460 × 10-8 4.634 x 10-8 Dynamic Viscosity μ, kg/m.s 1.133 x 10-4 9.169 x 10-5 7.551 x 10-5 6.288 x 10-5 5.257 x 10-5 4.377 x 10-5 3.577 x 10-5 2.761 x 10-5 9.773 x 10-8 9.732 x 10-8 9.662 x 10-8 9.576 x 10-8 9.484 x 10-8 9.388 x 10-8 9.291 x 10-8 9.195 X 10-8 9.101 x 10-8 Glycerin 5.857 X 10-4 5.088 x 10-4 4.460 x 10-4 3.942 x 10-4 3.510 x 10-4 3.146 x 10-4 (R600a) 9.305 x 10-4 5.624 x 10-4 3.769 x 10-4 2.688 × 10-4 1.993 x 10-4 1.510 x 10-4 1.155 x 10-4 8.785 x 10-5 6.483 x 10-5 10.49 6.730 4.241 2.496 1.519 0.9934 0.6582 0.4347 0.3073 Kinematic Viscosity v, m²/s 2.699 x 10-7 2.264 x 10-7 1.942 x 10-7 1.694 x 10-7 1.496 x 10-7 1.331 x 10-7 1.188 x 10-7 1.055 x 10-7 7.429 x 10-7 6.531 x 10-7 5.795 x 10-7 5.185 x 10-7 4.677 x 10-7 4.250 x 10-7 1.360 x 10-6 8.531 x 10-7 5.942 x 10-7 4.420 x 10-7 3.432 x 10-7 2.743 x 10-7 2.233 x 10-7 1.836 x 10-7 1.509 x 10-7 8.219 x 10-3 5.287 x 10-3 3.339 x 10-3 1.970 × 10-3 1.201 x 10-3 7.878 x 10-4 5.232 x 10-4 3.464 x 10-4 2.455 x 10-4 Prandtl Number Pr 2.126 1.927 1.803 1.738 1.732 1.810 2.063 3.082 7.414 6.622 5.980 5.453 5.018 4.655 12.65 8.167 6.079 4.963 4.304 3.880 3.582 3.363 3.256 84,101 54,327 34,561 20,570 12,671 8,392 5,631 3,767 2,697 Volume Expansion Coeff. B, 1/K 0.00352 0.00391 0.00444 0.00520 0.00637 0.00841 0.01282 0.02922 0.00118 0.00120 0.00123 0.00127 0.00132 0.00137 0.00142 0.00150 0.00161 0.00177 0.00199 0.00232 0.00286 0.00385 0.00628
Glycerin at 10°C is flowing steadily through a 8-cm diameter pipe
at 0.1 kg/s. What is the average velocity of the glycerin flow? What is the Reynolds number?
Transcribed Image Text:Glycerin at 10°C is flowing steadily through a 8-cm diameter pipe at 0.1 kg/s. What is the average velocity of the glycerin flow? What is the Reynolds number?
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