What is the Reynolds number and flow regime at the beginning and at the end of the pipe? If the surface temperature of the pipe can be assumed to be constant at 15°C in this section, what is the average convection coefficient of the ammonia flow?

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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Saturated liquid ammonia is entering a 50 cm diameter 10-m long pipe at a steady 0.1 kg/s mass flow rate
and a mean temperature of 0°C. It is exiting the pipe as saturated vapor at a mean temperature of 0°C.
(a) What is the Reynolds number and flow regime at the beginning and at the end of the pipe?
(b) If the surface temperature of the pipe can be assumed to be constant at 15°C in this section, what
is the average convection coefficient of the ammonia flow?
(a) 1343; 27075
(b) 553.6 W/m2K
Transcribed Image Text:Saturated liquid ammonia is entering a 50 cm diameter 10-m long pipe at a steady 0.1 kg/s mass flow rate and a mean temperature of 0°C. It is exiting the pipe as saturated vapor at a mean temperature of 0°C. (a) What is the Reynolds number and flow regime at the beginning and at the end of the pipe? (b) If the surface temperature of the pipe can be assumed to be constant at 15°C in this section, what is the average convection coefficient of the ammonia flow? (a) 1343; 27075 (b) 553.6 W/m2K
Properties of saturated ammonia
Density
p, kg/m³
Saturation
Temp. Pressure
T, °C P, kPa Liquid Vapor
Specific
Heat
Vaporization Cp, J/kg.K
Enthalpy
of
hfg, kJ/kg Liquid Vapor
Thermal
Conductivity
k, W/m.K
Liquid
Dynamic Viscosity
μ, kg/m.s
Vapor
-40 71.66 690.2 0.6435 1389 4414 2242
0.01792 2.926 x 10-4
-30 119.4 677.8 1.037 1360 4465 2322
0.01898 2.630 x 10-4
-25 151.5 671.5 1.296 1345
4489 2369 0.5968 0.01957 2.492 x 10-4
-20 190.1 665.1 1.603 1329 4514 2420 0.5853 0.02015 2.361 × 10-4
-15 236.2 658.6 1.966 1313 4538 2476 0.5737 0.02075 2.236 x 10-4
-10 290.8 652.1 2.391 1297 4564 2536 0.5621 0.02138 2.117 x 10-4
-5 354.9 645.4 2.886 1280 4589 2601 0.5505 0.02203 2.003 x 10-4
0 429.6 638.6 3.458 1262 4617 2672 0.5390 0.02270 1.896 x 10-4
5 516 631.7 4.116 1244 4645 2749 0.5274 0.02341 1.794 x 10-4
10 615.3 624.6 4.870 1226 4676 2831 0.5158 0.02415 1.697 x 10-4
15 728.8 617.5 5.729 1206 4709 2920 0.5042 0.02492 1.606 x 10-4
20 857.8 610.2 6.705 1186 4745 3016 0.4927 0.02573 1.519 x 10-4
25 1003 602.8 7.809 1166 4784 3120 0.4811 0.02658 1.438 x 10-4
30 1167 595.2 9.055 1144 4828 3232 0.4695 0.02748 1.361 x 10-4
35 1351 587.4 10.46 1122 4877 3354 0.4579 0.02843 1.288 x 10-4
40 1555 579.4 12.03
1099
4932 3486 0.4464 0.02943 1.219 x 10-4
45 1782 571.3 13.8 1075 4993 3631 0.4348 0.03049 1.155 x 10-4
50 2033 562.9 15.78 1051 5063 3790 0.4232 0.03162 1.094 x 10-4
55 2310 554.2 18.00 1025 5143 3967 0.4116 0.03283 1.037 x 10-4
60 2614 545.2 20.48 997.4 5234 4163 0.4001 0.03412 9.846 x 10-5
65 2948 536.0 23.26 968.9 5340 4384 0.3885 0.03550 9.347 × 10-5
70 3312 526.3 26.39 939.0 5463 4634 0.3769 0.03700 8.879 x 10-5
75 3709 516.2 29.90 907.5 5608 4923 0.3653 0.03862 8.440 x 10-5
80 4141 505.7 33.87 874.1 5780 5260 0.3538 0.04038 8.030 x 10-5
85 4609 494.5 38.36 838.6 5988 5659 0.3422 0.04232 7.646 x 10-5
90 5116 482.8 43.48 800.6 6242 6142 0.3306 0.04447 7.284 x 10-5
95 5665 470.2 49.35 759.8 6561 6740 0.3190 0.04687 6.946 x 10-5
100 6257 456.6 56.15 715.5 6972 7503 0.3075 0.04958 6.628 x 10-5
Liquid
Vapor
7.957 x 10-6
8.311 x 10-6
8.490 x 10-6
8.669 x 10-6
8.851 x 10-6
9.034 x 10-6
9.218 x 10-6
9.405 x 10-6
9.593 x 10-6
9.784 x 10-6
9.978 x 10-6
1.017 x 10-5
1.037 x 10-5
1.057 x 10-5
1.078 x 10-5
1.099 x 10-5
1.121 x 10-5
1.143 x 10-5
1.166 x 10-5
1.189 x 10-5
1.213 x 10-5
1.238 x 10-5
1.264 x 10-5
1.292 x 10-5
1.322 x 10-5
1.354 x 10-5
1.389 x 10-5
1.429 x 10-5
Prandtl
Number
Pr
Volume
Expansion
Coefficient
B, I/K
Liquid
Liquid Vapor
0.9955
1.017
1.875 1.028
1.821 1.041
1.769 1.056
1.718 1.072
1.670 1.089
1.624 1.107
1.580 1.126
1.539 1.147
1.500 1.169
1.463 1.193
1.430 1.218
1.399 1.244
1.372 1.272
1.347 1.303
1.327 1.335
1.310 1.371
1.297 1.409
1.288 1.452
1.285 1.499
1.287 1.551
1.296 1.612
1.312 1.683
1.338 1.768
1.375 1.871
1.429 1.999
1.503 2.163
Note 1: Kinematic viscosity and thermal diffusivity a can be calculated from their definitions, v = μ/p and a =
vapor density) can be used at any pressures with negligible error except at temperatures near the critical-point value.
Note 2: The unit kJ/kg-°C for specific heat is equivalent to kJ/kg-K, and the unit W/m-°C for thermal conductivity is equivalent to W/m.K.
Surface
Tension,
N/m
0.00176 0.03565
0.00185 0.03341
0.00190 0.03229
0.00194 0.03118
0.00199 0.03007
0.00205 0.02896
0.00210 0.02786
0.00216 0.02676
0.00223 0.02566
0.00230 0.02457
0.00237 0.02348
0.00245 0.02240
0.00254 0.02132
0.00264 0.02024
0.00275 0.01917
0.00287 0.01810
0.00301 0.01704
0.00316 0.01598
0.00334 0.01493
0.00354 0.01389
0.00377 0.01285
0.00404 0.01181
0.00436 0.01079
0.00474 0.00977
0.00521 0.00876
0.00579 0.00776
0.00652 0.00677
0.00749 0.00579
k/pcp = v/Pr. The properties listed here (except the
Transcribed Image Text:Properties of saturated ammonia Density p, kg/m³ Saturation Temp. Pressure T, °C P, kPa Liquid Vapor Specific Heat Vaporization Cp, J/kg.K Enthalpy of hfg, kJ/kg Liquid Vapor Thermal Conductivity k, W/m.K Liquid Dynamic Viscosity μ, kg/m.s Vapor -40 71.66 690.2 0.6435 1389 4414 2242 0.01792 2.926 x 10-4 -30 119.4 677.8 1.037 1360 4465 2322 0.01898 2.630 x 10-4 -25 151.5 671.5 1.296 1345 4489 2369 0.5968 0.01957 2.492 x 10-4 -20 190.1 665.1 1.603 1329 4514 2420 0.5853 0.02015 2.361 × 10-4 -15 236.2 658.6 1.966 1313 4538 2476 0.5737 0.02075 2.236 x 10-4 -10 290.8 652.1 2.391 1297 4564 2536 0.5621 0.02138 2.117 x 10-4 -5 354.9 645.4 2.886 1280 4589 2601 0.5505 0.02203 2.003 x 10-4 0 429.6 638.6 3.458 1262 4617 2672 0.5390 0.02270 1.896 x 10-4 5 516 631.7 4.116 1244 4645 2749 0.5274 0.02341 1.794 x 10-4 10 615.3 624.6 4.870 1226 4676 2831 0.5158 0.02415 1.697 x 10-4 15 728.8 617.5 5.729 1206 4709 2920 0.5042 0.02492 1.606 x 10-4 20 857.8 610.2 6.705 1186 4745 3016 0.4927 0.02573 1.519 x 10-4 25 1003 602.8 7.809 1166 4784 3120 0.4811 0.02658 1.438 x 10-4 30 1167 595.2 9.055 1144 4828 3232 0.4695 0.02748 1.361 x 10-4 35 1351 587.4 10.46 1122 4877 3354 0.4579 0.02843 1.288 x 10-4 40 1555 579.4 12.03 1099 4932 3486 0.4464 0.02943 1.219 x 10-4 45 1782 571.3 13.8 1075 4993 3631 0.4348 0.03049 1.155 x 10-4 50 2033 562.9 15.78 1051 5063 3790 0.4232 0.03162 1.094 x 10-4 55 2310 554.2 18.00 1025 5143 3967 0.4116 0.03283 1.037 x 10-4 60 2614 545.2 20.48 997.4 5234 4163 0.4001 0.03412 9.846 x 10-5 65 2948 536.0 23.26 968.9 5340 4384 0.3885 0.03550 9.347 × 10-5 70 3312 526.3 26.39 939.0 5463 4634 0.3769 0.03700 8.879 x 10-5 75 3709 516.2 29.90 907.5 5608 4923 0.3653 0.03862 8.440 x 10-5 80 4141 505.7 33.87 874.1 5780 5260 0.3538 0.04038 8.030 x 10-5 85 4609 494.5 38.36 838.6 5988 5659 0.3422 0.04232 7.646 x 10-5 90 5116 482.8 43.48 800.6 6242 6142 0.3306 0.04447 7.284 x 10-5 95 5665 470.2 49.35 759.8 6561 6740 0.3190 0.04687 6.946 x 10-5 100 6257 456.6 56.15 715.5 6972 7503 0.3075 0.04958 6.628 x 10-5 Liquid Vapor 7.957 x 10-6 8.311 x 10-6 8.490 x 10-6 8.669 x 10-6 8.851 x 10-6 9.034 x 10-6 9.218 x 10-6 9.405 x 10-6 9.593 x 10-6 9.784 x 10-6 9.978 x 10-6 1.017 x 10-5 1.037 x 10-5 1.057 x 10-5 1.078 x 10-5 1.099 x 10-5 1.121 x 10-5 1.143 x 10-5 1.166 x 10-5 1.189 x 10-5 1.213 x 10-5 1.238 x 10-5 1.264 x 10-5 1.292 x 10-5 1.322 x 10-5 1.354 x 10-5 1.389 x 10-5 1.429 x 10-5 Prandtl Number Pr Volume Expansion Coefficient B, I/K Liquid Liquid Vapor 0.9955 1.017 1.875 1.028 1.821 1.041 1.769 1.056 1.718 1.072 1.670 1.089 1.624 1.107 1.580 1.126 1.539 1.147 1.500 1.169 1.463 1.193 1.430 1.218 1.399 1.244 1.372 1.272 1.347 1.303 1.327 1.335 1.310 1.371 1.297 1.409 1.288 1.452 1.285 1.499 1.287 1.551 1.296 1.612 1.312 1.683 1.338 1.768 1.375 1.871 1.429 1.999 1.503 2.163 Note 1: Kinematic viscosity and thermal diffusivity a can be calculated from their definitions, v = μ/p and a = vapor density) can be used at any pressures with negligible error except at temperatures near the critical-point value. Note 2: The unit kJ/kg-°C for specific heat is equivalent to kJ/kg-K, and the unit W/m-°C for thermal conductivity is equivalent to W/m.K. Surface Tension, N/m 0.00176 0.03565 0.00185 0.03341 0.00190 0.03229 0.00194 0.03118 0.00199 0.03007 0.00205 0.02896 0.00210 0.02786 0.00216 0.02676 0.00223 0.02566 0.00230 0.02457 0.00237 0.02348 0.00245 0.02240 0.00254 0.02132 0.00264 0.02024 0.00275 0.01917 0.00287 0.01810 0.00301 0.01704 0.00316 0.01598 0.00334 0.01493 0.00354 0.01389 0.00377 0.01285 0.00404 0.01181 0.00436 0.01079 0.00474 0.00977 0.00521 0.00876 0.00579 0.00776 0.00652 0.00677 0.00749 0.00579 k/pcp = v/Pr. The properties listed here (except the
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