2.16 A standard 4-in. steel pipe (ID = 4.026 in., OD =4.500 in.) carries superheated steam at 1200°F in anenclosed space where a fire hazard exists, limitingthe outer surface temperature to 100°F. In order tominimize the insulation cost, two materials are to be(a) Specify the thickness for each insulating mate-rial. (b) Calculate the overall heat transfer coefficientbased on the pipe OD. (c) What fraction of thetotal 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) Howmuch heat is transferred per hour per foot length ofpipe?used: first a high-temperature (relatively expensive)insulation is to be applied to the pipe, and thenmagnesia (a less expensive material) will be appliedon the outside. The maximum temperature of themagnesia is to be 600°F. The following constants areknown:steam-side coefficienth = 100 Btu/hr ft² °Fhigh-temperatureinsulationconductivityk = 0.06 Btu/hr ft °Fmagnesia conductivityk = 0.045 Btu/hr ft °Foutside heat transfercoefficienth = 2.0 Btu/hr ft² °Fsteel conductivityk = 25 Btu/hr ft °Fambient temperatureT, = 70°FHigh-temperatureinsulationSteel pipeSuperheated steamT = 1200°FMagnesia insulation

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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:

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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