Cold water is heated from 10 °C to 43.33 °C in the annular space of a double‐pipe heat exchanger and flows in the annular space at a mass flow-rate of 2 kg/s. The exchanger consists of an outer pipe of 2 in BWG 12 and an inner pipe of 1 in BWG 16 tubing. Hot water enters the inner pipe, at a mass velocity of 1.061 kg/s at 287.7 °C and leaves the pipe at 232.2 °C. Wall temperature of the inner pipe is 104.4 °C. Neglecting the resistance of the wall and scale films and assuming L/D > 150, calculate the heat transfer coefficients of inner surface hi and outer surface ho. Please use this tables

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Cold water is heated from 10 °C to 43.33 °C in the annular space of a double‐pipe heat exchanger and flows in the annular space at a mass flow-rate of 2 kg/s. The exchanger consists of an outer pipe of 2 in BWG 12 and an inner pipe of 1 in BWG 16 tubing. Hot water enters the inner pipe, at a mass velocity of 1.061 kg/s at 287.7 °C and leaves the pipe at 232.2 °C. Wall temperature of the inner pipe is 104.4 °C. Neglecting the resistance of the wall and scale films and assuming L/D > 150, calculate the heat transfer coefficients of inner surface hi and outer surface ho. Please use this tables
Table 11. Dimensions of heat exchanger tubes
Qutside
Diameter
Wall
Thickness
Inside
Diameter
Inside Cross-
Sectional Area
BWG
Number
m x 10
in. mm
in.
in.
mm
mm
I 15.88
0.109 2.77 0.407 10.33 0.000903 0.8381
0.083 2.11 0.459 11.66 0.00115
0.065 1.65 0.495 12.57 0.00134
12
1.068
1.241
1.408
14
16
18
0.049 1.25 0.527 13.39 0.00151
0.109 2.77 0.532 13.51 0.00154
0.083 2.11 0.584 14.83 0.00186
1 19.05
1.434
1.727
12
14
16
18
0.065 1.65 0.620 15.75 0.00210
0.049 1.25 0.652 16.56 0.00232
1.948
2.154
| 22.23
12
0.109 2.77 0.657 16.69 0.00235
2.188
0.083 2.11. 0.709 18.01 0.00274
0.065 1.65 0.745 18.92 0.00303
0.049 1.25 0.777 19.74 0.00329
0.134 3.40 0.732 18.59 0.00292
0.109 2.77 0.782 19.86 0.00334
2.548
2.811
14
16
18
10
3.060
I 25.40
2.714
3.098
3.523
12
0.083 2.11 0.834 21.18 0.00379
0.065 1.65 0.870 22.10 0.00413
14
16
3.836
4.885
は 31.75
10
0.134 3.40 0.982 24.94 0.00526
12
0.109 2.77 1.032 26.21 0.00581
0.083 2.11 1.084 27.53 0.00641
5.395
14
5.953
6.357
7.690
8.326
0.065 1.65 1.120 28.45 0.00684
0.134 3.40 1.232 31.29 0.00828
16
If 38.10
10
12
0.109 2.77 1.282 32.56 0.00896
0.083 2.11 1.334 33.88 0.00971
0.134 3.40 1.732 43.99 0.0164
14
9.015
2 50.80
10
15.20
12
0.109 2.77 1.782 45.26 0.0173
16.09
Transcribed Image Text:Table 11. Dimensions of heat exchanger tubes Qutside Diameter Wall Thickness Inside Diameter Inside Cross- Sectional Area BWG Number m x 10 in. mm in. in. mm mm I 15.88 0.109 2.77 0.407 10.33 0.000903 0.8381 0.083 2.11 0.459 11.66 0.00115 0.065 1.65 0.495 12.57 0.00134 12 1.068 1.241 1.408 14 16 18 0.049 1.25 0.527 13.39 0.00151 0.109 2.77 0.532 13.51 0.00154 0.083 2.11 0.584 14.83 0.00186 1 19.05 1.434 1.727 12 14 16 18 0.065 1.65 0.620 15.75 0.00210 0.049 1.25 0.652 16.56 0.00232 1.948 2.154 | 22.23 12 0.109 2.77 0.657 16.69 0.00235 2.188 0.083 2.11. 0.709 18.01 0.00274 0.065 1.65 0.745 18.92 0.00303 0.049 1.25 0.777 19.74 0.00329 0.134 3.40 0.732 18.59 0.00292 0.109 2.77 0.782 19.86 0.00334 2.548 2.811 14 16 18 10 3.060 I 25.40 2.714 3.098 3.523 12 0.083 2.11 0.834 21.18 0.00379 0.065 1.65 0.870 22.10 0.00413 14 16 3.836 4.885 は 31.75 10 0.134 3.40 0.982 24.94 0.00526 12 0.109 2.77 1.032 26.21 0.00581 0.083 2.11 1.084 27.53 0.00641 5.395 14 5.953 6.357 7.690 8.326 0.065 1.65 1.120 28.45 0.00684 0.134 3.40 1.232 31.29 0.00828 16 If 38.10 10 12 0.109 2.77 1.282 32.56 0.00896 0.083 2.11 1.334 33.88 0.00971 0.134 3.40 1.732 43.99 0.0164 14 9.015 2 50.80 10 15.20 12 0.109 2.77 1.782 45.26 0.0173 16.09
Table 8. Properties of water (saturated liquid).
Note: GrxPr =|
( SP AT
µk
Cp
k
uk
1/m³ . °C
°F
°C
kJ/kg . °C
kg/m³
kg/m -s
W/m.°C
Pr
32
4.225
999.8
1.79x 10-3
0.566
13.25
1.91 x 10°
6.34 x 10°
1.08 x 1010
1.46 x 1010
1.91 × 1010
2.48 x 1010
3.3 x 1010
4.19 x 1010
4.89 × 1010
5.66 x 1010
6.48 x 1010
7.62 x 1010
8.84 x 1010
9.85 x 1010
1.09 x 1011
40
4.44
4.208
999.8
1.55
0.575
11.35
50
10
4.195
999.2
1.31
0.585
9.40
60
15.56
4.186
998.6
1.12
0.595
7.88
70
21.11
4.179
997.4
9.8x104
0.604
6.78
80
26.67
4.179
995.8
8.6
0.614
5.85
90
32.22
4.174
994.9
7.65
0.623
5.12
100
37.78
4.174
993.0
6.82
0.630
4.53
110
43.33
4.174
990.6
6.16
0.637
4.04
120
48.89
4.174
988.8
5.62
0.644
3.64
130
54.44
4.179
985.7
5.13
0.649
3.30
140
60
4.179
983.3
4.71
0.654
3.01
2.73
150
65.55
4.183
980.3
4.3
0.659
160
71.11
4.186
977.3
4.01
0.665
2.53
170
76.67
4.191
973.7
3.72
0.668
2.33
180
190
82.22
87.78
93.33
4.195
970.2
3.47
3.27
3.06
0.673
2.16
2.03
4.199
4.204
966.7
963.2
0.675
200
0.678
1.90
220
104.4
4.216
955.1
2.67
0.684
1.66
4.229
4.250
4.271
240
115.6
946.7
2.44
0.685
1.51
937.2
2.19
0.685
260
280
300
350
126.7
1.36
137.8
1.98
1.86
1.57
928.1
0.685
1.24
148.9
4.296
918.0
0.684
1.17
176.7
4.371
890.4
0.677
1.02
859.4
825.7
0.665
400
450
204.4
4.467
4.585
1.36
1.00
1.20
232.2
260
0.646
0.616
0.85
500
4.731
785.2
1.07
0.83
550
287.7
5.024
735.5
9.51x10
Transcribed Image Text:Table 8. Properties of water (saturated liquid). Note: GrxPr =| ( SP AT µk Cp k uk 1/m³ . °C °F °C kJ/kg . °C kg/m³ kg/m -s W/m.°C Pr 32 4.225 999.8 1.79x 10-3 0.566 13.25 1.91 x 10° 6.34 x 10° 1.08 x 1010 1.46 x 1010 1.91 × 1010 2.48 x 1010 3.3 x 1010 4.19 x 1010 4.89 × 1010 5.66 x 1010 6.48 x 1010 7.62 x 1010 8.84 x 1010 9.85 x 1010 1.09 x 1011 40 4.44 4.208 999.8 1.55 0.575 11.35 50 10 4.195 999.2 1.31 0.585 9.40 60 15.56 4.186 998.6 1.12 0.595 7.88 70 21.11 4.179 997.4 9.8x104 0.604 6.78 80 26.67 4.179 995.8 8.6 0.614 5.85 90 32.22 4.174 994.9 7.65 0.623 5.12 100 37.78 4.174 993.0 6.82 0.630 4.53 110 43.33 4.174 990.6 6.16 0.637 4.04 120 48.89 4.174 988.8 5.62 0.644 3.64 130 54.44 4.179 985.7 5.13 0.649 3.30 140 60 4.179 983.3 4.71 0.654 3.01 2.73 150 65.55 4.183 980.3 4.3 0.659 160 71.11 4.186 977.3 4.01 0.665 2.53 170 76.67 4.191 973.7 3.72 0.668 2.33 180 190 82.22 87.78 93.33 4.195 970.2 3.47 3.27 3.06 0.673 2.16 2.03 4.199 4.204 966.7 963.2 0.675 200 0.678 1.90 220 104.4 4.216 955.1 2.67 0.684 1.66 4.229 4.250 4.271 240 115.6 946.7 2.44 0.685 1.51 937.2 2.19 0.685 260 280 300 350 126.7 1.36 137.8 1.98 1.86 1.57 928.1 0.685 1.24 148.9 4.296 918.0 0.684 1.17 176.7 4.371 890.4 0.677 1.02 859.4 825.7 0.665 400 450 204.4 4.467 4.585 1.36 1.00 1.20 232.2 260 0.646 0.616 0.85 500 4.731 785.2 1.07 0.83 550 287.7 5.024 735.5 9.51x10
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