Q1 a) Engine oil at 100°C and a velocity of 0.1 m/s flows over both surfaces of a 1-m long flat plate maintained at 20°C (Figure 1). Determine the following: i. The velocity and thermal boundary layer thicknesses at the trailing edge; ii. The local heat flux and surface shear stress at the trailing edge; iii. The total drag force and heat transfer per unit width of the plate. Refer Table A.5 for engine oil thermophysical properties. 8 ·St X L=1m Engine oil U∞ = 0.1 m/s T= 100 °C Ts = 20 °C

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Q1 a) Engine oil at 100°C and a velocity of 0.1 m/s flows over both surfaces of a 1-m long
flat plate maintained at 20°C (Figure 1). Determine the following:
i. The velocity and thermal boundary layer thicknesses at the trailing edge;
ii. The local heat flux and surface shear stress at the trailing edge;
iii. The total drag force and heat transfer per unit width of the plate.
Refer Table A.5 for engine oil thermophysical properties.
8
Engine oil
·St
U∞ = 0.1 m/s
To= 100 °C
L=1m
Figure 1
-Ts = 20 °C
Transcribed Image Text:Q1 a) Engine oil at 100°C and a velocity of 0.1 m/s flows over both surfaces of a 1-m long flat plate maintained at 20°C (Figure 1). Determine the following: i. The velocity and thermal boundary layer thicknesses at the trailing edge; ii. The local heat flux and surface shear stress at the trailing edge; iii. The total drag force and heat transfer per unit width of the plate. Refer Table A.5 for engine oil thermophysical properties. 8 Engine oil ·St U∞ = 0.1 m/s To= 100 °C L=1m Figure 1 -Ts = 20 °C
TABLE A.5 Thermophysical Properties of Saturated Fluids"
Saturated Liquids
T
P
Cp
μ·10²
(N-s/m²)
V. 106
(m³/s)
k. 10³
(W/m .K)
(K) (kg/m³) (kJ/kg. K)
Engine Oil (Unused)
273
899.1
1.796
385
147
280
895.3
1.827
217
144
290
890.0
1.868
145
300
884.1
1.909
145
310
877.9
1.951
145
320
871.8
1.993
143
330
865.8
2.035
141
340
859.9
2.076
139
350
853.9
2.118
138
360
847.8
2.161
138
370
841.8
2.206
137
380
836.0
2.250
136
390
830.6
2.294
135
400
825.1
2.337
134
410
818.9
2.381
133
420
812.1
2.427
133
430
806.5
2.471
132
99.9
48.6
25.3
14.1
8.36
5.31
3.56
2.52
1.86
1.41
1.10
0.874
0.698
0.564
0.470
4280
2430
1120
550
288
161
96.6
61.7
41.7
29.7
22.0
16.9
13.3
10.6
8.52
6.94
5.83
α 107
(m²/s)
0.910
0.880
0.872
0.859
0.847
0.823
0.800
0.779
0.763
0.753
0.738
0.723
0.709
0.695
0.682
0.675
0.662
Pr
47,000
27,500
12,900
6400
3400
1965
1205
793
546
395
300
233
187
152
125
103
88
B.10³
(K-¹)
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
0.70
Transcribed Image Text:TABLE A.5 Thermophysical Properties of Saturated Fluids" Saturated Liquids T P Cp μ·10² (N-s/m²) V. 106 (m³/s) k. 10³ (W/m .K) (K) (kg/m³) (kJ/kg. K) Engine Oil (Unused) 273 899.1 1.796 385 147 280 895.3 1.827 217 144 290 890.0 1.868 145 300 884.1 1.909 145 310 877.9 1.951 145 320 871.8 1.993 143 330 865.8 2.035 141 340 859.9 2.076 139 350 853.9 2.118 138 360 847.8 2.161 138 370 841.8 2.206 137 380 836.0 2.250 136 390 830.6 2.294 135 400 825.1 2.337 134 410 818.9 2.381 133 420 812.1 2.427 133 430 806.5 2.471 132 99.9 48.6 25.3 14.1 8.36 5.31 3.56 2.52 1.86 1.41 1.10 0.874 0.698 0.564 0.470 4280 2430 1120 550 288 161 96.6 61.7 41.7 29.7 22.0 16.9 13.3 10.6 8.52 6.94 5.83 α 107 (m²/s) 0.910 0.880 0.872 0.859 0.847 0.823 0.800 0.779 0.763 0.753 0.738 0.723 0.709 0.695 0.682 0.675 0.662 Pr 47,000 27,500 12,900 6400 3400 1965 1205 793 546 395 300 233 187 152 125 103 88 B.10³ (K-¹) 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70 0.70
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