Please help solve the following heat transfer problem. You are to use a resistance model in your solution. Thank you. Consider a thick cylindrical wall with insulation at both the innerand outer walls. The inner and outer radii of the thick cylinder are12 = 40 cm and 13 = 80 cm, respectively. The length of cylinderis 1 meter. The thermal conductivity of the wall is k₂ = 120-The thickness of outer insulation is 5 cm and its thermalconductivity is k3 = 12 . The thickness of the inner insulationWmkWmkWThe heatmk=is also 5 cm, but the thermal conductivity is k₁ = 8dissipates through the surface of outer sides of the insulationthrough convention with h, 50- and the ambienttemperature outside the pipe is Tsurface is maintained at 80°C. Compute the heat transfer through the wall and the temperature ofthe outer most surface.Wm²K= 25°C. The inner mostUse resistance models to solve this problem.wallk2 = 120 W/mKr3= 80 cmr2 = 40 cmr1 = 35 cminner insulationk1 = 8 W/mKr4 = 85 cmouter insulationk3 = 12 W/mK

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Answered: 12 = 40 cm and 13 = 80 cm,…

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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Please help solve the following heat transfer problem. You are to use a resistance model in your solution. Thank you.

Consider a thick cylindrical wall with insulation at both the inner
and outer walls. The inner and outer radii of the thick cylinder are
12 = 40 cm and 13 = 80 cm, respectively. The length of cylinder
is 1 meter. The thermal conductivity of the wall is k₂ = 120-
The thickness of outer insulation is 5 cm and its thermal
conductivity is k3 = 12 . The thickness of the inner insulation
W
mk
W
mk
W
The heat
mk
=
is also 5 cm, but the thermal conductivity is k₁ = 8
dissipates through the surface of outer sides of the insulation
through convention with h, 50- and the ambient
temperature outside the pipe is T
surface is maintained at 80°C. Compute the heat transfer through the wall and the temperature of
the outer most surface.
W
m²K
= 25°C. The inner most
Use resistance models to solve this problem.
wall
k2 = 120 W/mK
r3= 80 cm
r2 = 40 cm
r1 = 35 cm
inner insulation
k1 = 8 W/mK
r4 = 85 cm
outer insulation
k3 = 12 W/mK

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The heat transfer was calculated to be 6.770 kilowatt, but the problem also asks to calculate the temperature of the outer most surface. What is the temperature of the outer most surface?

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