Metallic cylinder 10 mm in diameter maintained at 50 °C with the engine oil fluid in a cross flow over the cylinder for which the air temperature To is 20°C and the velocity of 5 m/s (see Fig.) 1. What are the main assumptions? 2. Calculate the rate of heat transfer per unit length? 3. Discuss the above results? Engine Oil Ts= 50 °C Too = 20 °C U∞ = 5 m/s Thermophysical Properties of Oil Engine T P Cp M10² V. 106 k-10³ (K) (kg/m³) (kJ/kg-K) a 10 (m²/s) B-10 (K-¹) (m²/s) (W/m-K) Pr Engine Oil (Unused) 273 899.1 1.796 147 0.910 47,000 0.70 280 895.3 1.827 0.880 27,500 0.70 290 890.0 1.868 145 0.872 12,900 0.70 300 884.1 1.909 145 0.859 6400 0.70 310 877.9 1.951 145 0.847 3400 0.70 320 871.8 1.993 143 0.823 1965 0.70 330 865.8 2.035 8.36 96.6 141 0.800 1205 0.70 340 859.9 2.076 5.31 61.7 139 0.779 793 0.70 Convection Heat Transfer Correlations for External Flow Correlation Range of Applicability 0.62 Re2P1/3 5/8 4/5 hD k =0.3+ [₁+f Rep 282,000 Rep Pr> 0.2 [1+ (0.4/P+)2/31/ Flow Cylinder Nup (N-s/m²) 385 217 99.9 48.6 25.3 14.1 4280 2430 1120 550 288 161 D=0.01 m
Metallic cylinder 10 mm in diameter maintained at 50 °C with the engine oil fluid in a cross flow over the cylinder for which the air temperature To is 20°C and the velocity of 5 m/s (see Fig.) 1. What are the main assumptions? 2. Calculate the rate of heat transfer per unit length? 3. Discuss the above results? Engine Oil Ts= 50 °C Too = 20 °C U∞ = 5 m/s Thermophysical Properties of Oil Engine T P Cp M10² V. 106 k-10³ (K) (kg/m³) (kJ/kg-K) a 10 (m²/s) B-10 (K-¹) (m²/s) (W/m-K) Pr Engine Oil (Unused) 273 899.1 1.796 147 0.910 47,000 0.70 280 895.3 1.827 0.880 27,500 0.70 290 890.0 1.868 145 0.872 12,900 0.70 300 884.1 1.909 145 0.859 6400 0.70 310 877.9 1.951 145 0.847 3400 0.70 320 871.8 1.993 143 0.823 1965 0.70 330 865.8 2.035 8.36 96.6 141 0.800 1205 0.70 340 859.9 2.076 5.31 61.7 139 0.779 793 0.70 Convection Heat Transfer Correlations for External Flow Correlation Range of Applicability 0.62 Re2P1/3 5/8 4/5 hD k =0.3+ [₁+f Rep 282,000 Rep Pr> 0.2 [1+ (0.4/P+)2/31/ Flow Cylinder Nup (N-s/m²) 385 217 99.9 48.6 25.3 14.1 4280 2430 1120 550 288 161 D=0.01 m
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Chapter5: Analysis Of Convection Heat Transfer
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![Metallic cylinder 10 mm in diameter maintained at 50 °C with the engine oil fluid in a cross
flow over the cylinder for which the air temperature To is 20°C and the velocity of 5 m/s
(see Fig.)
1. What are the main assumptions?
2. Calculate the rate of heat transfer per unit length?
3. Discuss the above results?
Engine Oil
Ts = 50 °C
Too = 20 °C
D = 0.01 m
U∞ = 5 m/s
Thermophysical Properties of Oil Engine
2
T
P
Cp
M-10²
v.106
k-10³
(K)
(kg/m³)
(kJ/kg-K)
a 10
(m²/s)
B-10³
(K-¹)
(N-s/m²)
(m²/s)
(W/m - K)
Pr
Engine Oil (Unused)
273
899.1
1.796
385
147
0.910
47,000
0.70
280
895.3
1.827
217
144
0.880
27,500
0.70
290
890.0
1.868
145
0.872
12,900
0.70
300
884.1
1.909
145
0.859
6400
0.70
310
877.9
1.951
145
0.847
3400
0.70
320
871.8
1.993
0.823
1965
0,70
330
865.8
2.035
8.36
96.6
0.800
1205
0.70
340
859.9
2.076
5.31
61.7
139
0.779
793
0.70
Convection Heat Transfer Correlations for External Flow
Correlation
Range of Applicability
5/8 4/5
0.62 Re2Pr1/3
ᏂᎠ
k
=0.3+
Rep
282,000
ReD Pr > 0.2
1/4
Flow
Cylinder Nup =
99.9
48.6
25.3
[1+ (0.4/Pr)2/3]
4280
2430
1120
550
288
161](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0809bd4b-2917-430e-b047-14467ee11a8d%2F518c9888-37b2-4d39-b94f-f2ba24734517%2Ffggjn4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Metallic cylinder 10 mm in diameter maintained at 50 °C with the engine oil fluid in a cross
flow over the cylinder for which the air temperature To is 20°C and the velocity of 5 m/s
(see Fig.)
1. What are the main assumptions?
2. Calculate the rate of heat transfer per unit length?
3. Discuss the above results?
Engine Oil
Ts = 50 °C
Too = 20 °C
D = 0.01 m
U∞ = 5 m/s
Thermophysical Properties of Oil Engine
2
T
P
Cp
M-10²
v.106
k-10³
(K)
(kg/m³)
(kJ/kg-K)
a 10
(m²/s)
B-10³
(K-¹)
(N-s/m²)
(m²/s)
(W/m - K)
Pr
Engine Oil (Unused)
273
899.1
1.796
385
147
0.910
47,000
0.70
280
895.3
1.827
217
144
0.880
27,500
0.70
290
890.0
1.868
145
0.872
12,900
0.70
300
884.1
1.909
145
0.859
6400
0.70
310
877.9
1.951
145
0.847
3400
0.70
320
871.8
1.993
0.823
1965
0,70
330
865.8
2.035
8.36
96.6
0.800
1205
0.70
340
859.9
2.076
5.31
61.7
139
0.779
793
0.70
Convection Heat Transfer Correlations for External Flow
Correlation
Range of Applicability
5/8 4/5
0.62 Re2Pr1/3
ᏂᎠ
k
=0.3+
Rep
282,000
ReD Pr > 0.2
1/4
Flow
Cylinder Nup =
99.9
48.6
25.3
[1+ (0.4/Pr)2/3]
4280
2430
1120
550
288
161
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