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A pipe carries hot molten lead from one part of a factory floor to another. The mass flow rate of lead 0.05 kg/s. While trying to figure out the heat loss from the pipe, you found that over a 2-m length of pipe the lead temperature drops from 580-C to 557.C. What is the rate at which thermal energy is being lost from the lead carrying pipe in this 2-m section? Use the property table to find out properti of lead as needed.

A pipe carries hot molten lead from one part of a factory floor to another. The mass flow rate of lead 0.05 kg/s. While trying to figure out the heat loss from the pipe, you found that over a 2-m length of pipe the lead temperature drops from 580-C to 557.C. What is the rate at which thermal energy is being lost from the lead carrying pipe in this 2-m section? Use the property table to find out properti of lead as needed.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.13P
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Properties of liquid metals Temp. Density T, °C p, kg/m³ 0 13595 25 13534 50 13473 75 13412 100 13351 150 13231 200 13112 250 12993 300 12873 350 9969 400 9908 500 9785 600 9663 700 9540 400 10506 450 10449 500 10390 10329 10267 650 10206 700 10145 550 600 100 927.3 200 902.5 300 877.8 400 853.0 500 828.5 600 804.0 200 795.2 300 771.6 400 748.0 500 723.9 600 699.6 Specific Heat Cp, J/kg.K 140.4 139.4 138.6 137.8 137.1 136.1 135.5 135.3 135.3 146.0 148.2 152.8 157.3 161.8 158 156 155 155 155 155 155 1378 1349 1320 1296 1284 1272 790.8 772.8 754.8 750.0 750.0 Thermal Conductivity k, W/m.K 8.18200 8.51533 8.83632 9.15632 9.46706 10.07780 10.65465 11.18150 11.68150 16.28 16.10 15.74 15.60 15.60 15.97 15.74 15.54 15.39 15.23 15.07 14.91 85.84 80.84 75.84 71.20 67.41 63.63 43.99 42.01 40.03 37.81 35.50 Thermal Diffusivity a, m²/s Dynamic Viscosity μ, kg/m.s Mercury (Hg) Melting Point: - 39°C 4.287 x 10-6 4.514 x 10-6 4.734 x 10-6 4.956 x 10-6 5.170 x 10-6 5.595 x 10-6 5.996 x 10-6 6.363 x 10-6 6.705 x 10-6 Bismuth (Bi) Melting 1.118 x 10-5 1.096 x 10-5 1.052 x 10-5 1.026 x 10-5 1.010 x 10-5 Sodium (Na) Melting 6.718 x 10-5 6.639 x 10-5 6.544 x 10-5 6.437 x 10-5 6.335 x 10-5 6.220 x 10-5 1.687 X 10-3 1.534 x 10-3 1.423 X 10-3 1.316 x 10-3 1.245 x 10-3 1.126 x 10-3 1.043 x 10-3 9.820 x 10-4 9.336 x 10-4 Point: 271°C Lead (Pb) Melting Point: 327°C 9.623 x 10-6 9.649 x 10-6 9.651 x 10-6 9.610 x 10-6 9.568 x 10-6 9.526 x 10-6 9.483 x 10-6 Potassium (K) Melting 6.995 x 10-5 7.045 x 10-5 7.090 x 10-5 6.964 x 10-5 6.765 x 10-5 1.540 x 10-3 1.422 x 10-3 1.188 x 10-3 1.013 × 10-3 8.736 x 10-4 2.277 x 10-3 2.065 x 10-3 1.884 x 10-3 1.758 x 10-3 1.632 x 10-3 1.505 x 10-3 1.379 x 10-3 Point: 98°C 6.892 x 10-4 5.385 x 10-4 3.878 x 10-4 2.720 x 10-4 2.411 x 10-4 2.101 x 10-4 Point: 64°C 3.350 x 10-4 2.667 x 10-4 1.984 x 10-4 1.668 x 10-4 1.487 x 10-4 Kinematic Viscosity v, m²/s 1.241 x 10-7 1.133 x 10-7 1.056 x 10-7 9.819 x 10-8 9.326 x 10-8 8.514 x 10-8 7.959 x 10-8 7.558 x 10-8 7.252 x 10-8 1.545 x 10-7 1.436 x 10-7 1.215 x 10-7 1.048 x 10-7 9.157 x 10-8 2.167 x 10-7 1.976 x 10-7 1.814 x 10-7 1.702 x 10-7 1.589 x 10-7 1.475 x 10-7 1.360 x 10-7 7.432 x 10-7 5.967 x 10-7 4.418 x 10-7 3.188 x 10-7 2.909 x 10-7 2.614 x 10-7 4.213 x 10-7 3.456 x 10-7 2.652 x 10-7 2.304 x 10-7 2.126 x 10-7 Volume Prandtl Expansion Number Coeff. B, 1/K Pr 0.0289 1.810 x 10-4 0.0251 1.810 x 10-4 0.0223 1.810 x 10-4 0.0198 1.810 x 10-4 0.0180 1.810 x 10-4 0.0152 1.810 x 10-4 0.0133 1.815 x 10-4 0.0119 1.829 x 10-4 0.0108 1.854 x 10-4 0.01381 0.01310 0.01154 0.01022 0.00906 0.02252 0.02048 0.01879 0.01771 0.01661 0.01549 0.01434 0.01106 0.008987 0.006751 0.004953 0.004593 0.004202 0.006023 0.004906 0.00374 0.003309 0.003143
Transcribed Image Text:Properties of liquid metals Temp. Density T, °C p, kg/m³ 0 13595 25 13534 50 13473 75 13412 100 13351 150 13231 200 13112 250 12993 300 12873 350 9969 400 9908 500 9785 600 9663 700 9540 400 10506 450 10449 500 10390 10329 10267 650 10206 700 10145 550 600 100 927.3 200 902.5 300 877.8 400 853.0 500 828.5 600 804.0 200 795.2 300 771.6 400 748.0 500 723.9 600 699.6 Specific Heat Cp, J/kg.K 140.4 139.4 138.6 137.8 137.1 136.1 135.5 135.3 135.3 146.0 148.2 152.8 157.3 161.8 158 156 155 155 155 155 155 1378 1349 1320 1296 1284 1272 790.8 772.8 754.8 750.0 750.0 Thermal Conductivity k, W/m.K 8.18200 8.51533 8.83632 9.15632 9.46706 10.07780 10.65465 11.18150 11.68150 16.28 16.10 15.74 15.60 15.60 15.97 15.74 15.54 15.39 15.23 15.07 14.91 85.84 80.84 75.84 71.20 67.41 63.63 43.99 42.01 40.03 37.81 35.50 Thermal Diffusivity a, m²/s Dynamic Viscosity μ, kg/m.s Mercury (Hg) Melting Point: - 39°C 4.287 x 10-6 4.514 x 10-6 4.734 x 10-6 4.956 x 10-6 5.170 x 10-6 5.595 x 10-6 5.996 x 10-6 6.363 x 10-6 6.705 x 10-6 Bismuth (Bi) Melting 1.118 x 10-5 1.096 x 10-5 1.052 x 10-5 1.026 x 10-5 1.010 x 10-5 Sodium (Na) Melting 6.718 x 10-5 6.639 x 10-5 6.544 x 10-5 6.437 x 10-5 6.335 x 10-5 6.220 x 10-5 1.687 X 10-3 1.534 x 10-3 1.423 X 10-3 1.316 x 10-3 1.245 x 10-3 1.126 x 10-3 1.043 x 10-3 9.820 x 10-4 9.336 x 10-4 Point: 271°C Lead (Pb) Melting Point: 327°C 9.623 x 10-6 9.649 x 10-6 9.651 x 10-6 9.610 x 10-6 9.568 x 10-6 9.526 x 10-6 9.483 x 10-6 Potassium (K) Melting 6.995 x 10-5 7.045 x 10-5 7.090 x 10-5 6.964 x 10-5 6.765 x 10-5 1.540 x 10-3 1.422 x 10-3 1.188 x 10-3 1.013 × 10-3 8.736 x 10-4 2.277 x 10-3 2.065 x 10-3 1.884 x 10-3 1.758 x 10-3 1.632 x 10-3 1.505 x 10-3 1.379 x 10-3 Point: 98°C 6.892 x 10-4 5.385 x 10-4 3.878 x 10-4 2.720 x 10-4 2.411 x 10-4 2.101 x 10-4 Point: 64°C 3.350 x 10-4 2.667 x 10-4 1.984 x 10-4 1.668 x 10-4 1.487 x 10-4 Kinematic Viscosity v, m²/s 1.241 x 10-7 1.133 x 10-7 1.056 x 10-7 9.819 x 10-8 9.326 x 10-8 8.514 x 10-8 7.959 x 10-8 7.558 x 10-8 7.252 x 10-8 1.545 x 10-7 1.436 x 10-7 1.215 x 10-7 1.048 x 10-7 9.157 x 10-8 2.167 x 10-7 1.976 x 10-7 1.814 x 10-7 1.702 x 10-7 1.589 x 10-7 1.475 x 10-7 1.360 x 10-7 7.432 x 10-7 5.967 x 10-7 4.418 x 10-7 3.188 x 10-7 2.909 x 10-7 2.614 x 10-7 4.213 x 10-7 3.456 x 10-7 2.652 x 10-7 2.304 x 10-7 2.126 x 10-7 Volume Prandtl Expansion Number Coeff. B, 1/K Pr 0.0289 1.810 x 10-4 0.0251 1.810 x 10-4 0.0223 1.810 x 10-4 0.0198 1.810 x 10-4 0.0180 1.810 x 10-4 0.0152 1.810 x 10-4 0.0133 1.815 x 10-4 0.0119 1.829 x 10-4 0.0108 1.854 x 10-4 0.01381 0.01310 0.01154 0.01022 0.00906 0.02252 0.02048 0.01879 0.01771 0.01661 0.01549 0.01434 0.01106 0.008987 0.006751 0.004953 0.004593 0.004202 0.006023 0.004906 0.00374 0.003309 0.003143
A pipe carries hot molten lead from one part of a factory floor to another. The mass flow rate of lead is 0.05 kg/s. While trying to figure out the heat loss from the pipe, you found that over a 2-m length of he pipe the lead temperature drops from 580 C to 557.C. What is the rate at which thermal energy is being lost from the lead carrying pipe in this 2-m section? Use the property table to find out properties of lead as needed.
Transcribed Image Text:A pipe carries hot molten lead from one part of a factory floor to another. The mass flow rate of lead is 0.05 kg/s. While trying to figure out the heat loss from the pipe, you found that over a 2-m length of he pipe the lead temperature drops from 580 C to 557.C. What is the rate at which thermal energy is being lost from the lead carrying pipe in this 2-m section? Use the property table to find out properties of lead as needed.
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