A pipe made of stainless steel (k = 45 W / m*K) with an internal diameter of 5 cm and an outer diameter of 5.5 cm is carrying a fluid at a temperature of 80 °C. The heat transfer coefficient for the fluid inside the pipe is 1000 W / m2 *K. The heat transfer coefficient of the air is 5 W/ m2 *K and the air at a substantial distance from the pipe is at 25 °C. At steady-state: a. Determine the temperature [°C] on the surface of the pipe. b. Determine the heat lost per meter of pipe [W/m]. c. For insulation with a thermal conductivity of 0.1 W / m*K, determine the insulation thickness required to achieve a 20% decrease in the heat loss. d. Repeat part c for insulation with a thermal conductivity of 0.05 W / m*K
A pipe made of stainless steel (k = 45 W / m*K) with an internal diameter of 5 cm and an outer diameter of 5.5 cm is carrying a fluid at a temperature of 80 °C. The heat transfer coefficient for the fluid inside the pipe is 1000 W / m2 *K. The heat transfer coefficient of the air is 5 W/ m2 *K and the air at a substantial distance from the pipe is at 25 °C. At steady-state: a. Determine the temperature [°C] on the surface of the pipe. b. Determine the heat lost per meter of pipe [W/m]. c. For insulation with a thermal conductivity of 0.1 W / m*K, determine the insulation thickness required to achieve a 20% decrease in the heat loss. d. Repeat part c for insulation with a thermal conductivity of 0.05 W / m*K
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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![A pipe made of stainless steel (k = 45 W / m*K) with an
internal diameter of 5 cm and an outer diameter of 5.5
cm is carrying a fluid at a temperature of 80 °C. The heat
transfer coefficient for the fluid inside the pipe is 1000 W
/ m2 *K. The heat transfer coefficient of the air is 5 W/
m2 *K and the air at a substantial distance from the pipe
is at 25 °C.
At steady-state:
a. Determine the temperature [°C] on the surface of the
pipe.
b. Determine the heat lost per meter of pipe [W/m].
c. For insulation with a thermal conductivity of 0.1 W /
m*K, determine the insulation thickness required to
achieve a 20% decrease in the heat loss.
d. Repeat part c for insulation with a thermal
conductivity of 0.05 W / m*K](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa068e858-7312-408b-91b1-8fd5e486de50%2Febbbd8e2-63a4-402b-80b3-367a3b4964fc%2Fkg9857m_processed.png&w=3840&q=75)
Transcribed Image Text:A pipe made of stainless steel (k = 45 W / m*K) with an
internal diameter of 5 cm and an outer diameter of 5.5
cm is carrying a fluid at a temperature of 80 °C. The heat
transfer coefficient for the fluid inside the pipe is 1000 W
/ m2 *K. The heat transfer coefficient of the air is 5 W/
m2 *K and the air at a substantial distance from the pipe
is at 25 °C.
At steady-state:
a. Determine the temperature [°C] on the surface of the
pipe.
b. Determine the heat lost per meter of pipe [W/m].
c. For insulation with a thermal conductivity of 0.1 W /
m*K, determine the insulation thickness required to
achieve a 20% decrease in the heat loss.
d. Repeat part c for insulation with a thermal
conductivity of 0.05 W / m*K
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Step 1: Given data
VIEWStep 2: Draw FBD and calculation of inner, outer radius and thickness of pipe
VIEWStep 3: Calculation of thermal resistances of inner fluid and pipe
VIEWStep 4: Calculation of thermal resistances of outside air and heat lost per meter of pipe
VIEWStep 5: Calculation of surface temperature of pipe
VIEWStep 6: Calculation of new thermal resistance of outside air and thickness of insulation
VIEWStep 7: Calculation of part c
VIEWStep 8: Calculation of part d
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