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2.16 A standard 4-in. steel pipe (ID = 4.026 in., OD = 4.500 in.) carries superheated steam at 1200°F in an enclosed space where a fire hazard exists, limiting the outer surface temperature to 100°F. In order to minimize the insulation cost, two materials are to be used: first a high-temperature (relatively expensive) insulation is to be applied to the pipe, and then magnesia (a less expensive material) will be applied on the outside. The maximum temperature of the magnesia is to be 600°F. The following constants are known:

2.16 A standard 4-in. steel pipe (ID = 4.026 in., OD = 4.500 in.) carries superheated steam at 1200°F in an enclosed space where a fire hazard exists, limiting the outer surface temperature to 100°F. In order to minimize the insulation cost, two materials are to be used: first a high-temperature (relatively expensive) insulation is to be applied to the pipe, and then magnesia (a less expensive material) will be applied on the outside. The maximum temperature of the magnesia is to be 600°F. The following constants are known:

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 3.4DP
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2.16 A standard 4-in. steel pipe (ID = 4.026 in., OD = 4.500 in.) carries superheated steam at 1200°F in an enclosed space where a fire hazard exists, limiting the outer surface temperature to 100°F. In order to minimize the insulation cost, two materials are to be (a) Specify the thickness for each insulating mate- rial. (b) Calculate the overall heat transfer coefficient based on the pipe OD. (c) What fraction of the total resistance is due to (1) steam-side resistance, (2) steel pipe resistance, (3) insulation (the combina- tion of the two), and (4) outside resistance? (d) How much heat is transferred per hour per foot length of pipe? used: first a high-temperature (relatively expensive) insulation is to be applied to the pipe, and then magnesia (a less expensive material) will be applied on the outside. The maximum temperature of the magnesia is to be 600°F. The following constants are known: steam-side coefficient h = 100 Btu/hr ft² °F high-temperature insulation conductivity k = 0.06 Btu/hr ft °F magnesia conductivity k = 0.045 Btu/hr ft °F outside heat transfer coefficient h = 2.0 Btu/hr ft² °F steel conductivity k = 25 Btu/hr ft °F ambient temperature T, = 70°F High-temperature insulation Steel pipe Superheated steam T = 1200°F Magnesia insulation
Transcribed Image Text:2.16 A standard 4-in. steel pipe (ID = 4.026 in., OD = 4.500 in.) carries superheated steam at 1200°F in an enclosed space where a fire hazard exists, limiting the outer surface temperature to 100°F. In order to minimize the insulation cost, two materials are to be (a) Specify the thickness for each insulating mate- rial. (b) Calculate the overall heat transfer coefficient based on the pipe OD. (c) What fraction of the total resistance is due to (1) steam-side resistance, (2) steel pipe resistance, (3) insulation (the combina- tion of the two), and (4) outside resistance? (d) How much heat is transferred per hour per foot length of pipe? used: first a high-temperature (relatively expensive) insulation is to be applied to the pipe, and then magnesia (a less expensive material) will be applied on the outside. The maximum temperature of the magnesia is to be 600°F. The following constants are known: steam-side coefficient h = 100 Btu/hr ft² °F high-temperature insulation conductivity k = 0.06 Btu/hr ft °F magnesia conductivity k = 0.045 Btu/hr ft °F outside heat transfer coefficient h = 2.0 Btu/hr ft² °F steel conductivity k = 25 Btu/hr ft °F ambient temperature T, = 70°F High-temperature insulation Steel pipe Superheated steam T = 1200°F Magnesia insulation
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