Q5A) Consider a composite spherical shell comprising an insulating layer of unknown thermal conductivity sandwiched between two layers of steel (k = 45 W/m. °C). The inner shell has 100 mm inner diameter and wall thickness of 5 mm. The outer shell has 150 mm inner diameter and wall thickness of 2 mm. The inner surface of inner spherical shell was experimentally found 120 °C while outer surface of outer spherical shell was at 67 °C. The ambient air was at 30 °C with heat-transfer coefficient at outer surface 6 W/m². °C. Determine thermal conductivity of insulating material. Then, experiment was repeated on another day when ambient air temperature was 13 °C. The inner surface temperature of inner shell and convection coefficient remained unchanged. Calculate temperature of outer surface of outer shell in this case.
Q5A) Consider a composite spherical shell comprising an insulating layer of unknown thermal conductivity sandwiched between two layers of steel (k = 45 W/m. °C). The inner shell has 100 mm inner diameter and wall thickness of 5 mm. The outer shell has 150 mm inner diameter and wall thickness of 2 mm. The inner surface of inner spherical shell was experimentally found 120 °C while outer surface of outer spherical shell was at 67 °C. The ambient air was at 30 °C with heat-transfer coefficient at outer surface 6 W/m². °C. Determine thermal conductivity of insulating material. Then, experiment was repeated on another day when ambient air temperature was 13 °C. The inner surface temperature of inner shell and convection coefficient remained unchanged. Calculate temperature of outer surface of outer shell in this case.
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.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.24P
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![Q5A) Consider a composite spherical shell comprising an insulating layer of unknown thermal
conductivity sandwiched between two layers of steel (k = 45 W/m. °C). The inner shell has
100 mm inner diameter and wall thickness of 5 mm. The outer shell has 150 mm inner
diameter and wall thickness of 2 mm. The inner surface of inner spherical shell was
experimentally found 120 °C while outer surface of outer spherical shell was at 67 °C. The
ambient air was at 30 °C with heat-transfer coefficient at outer surface 6 W/m². °C. Determine
thermal conductivity of insulating material. Then, experiment was repeated on another day when
ambient air temperature was 13 °C. The inner surface temperature of inner shell and convection
coefficient remained unchanged. Calculate temperature of outer surface of outer shell in this case.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28d7ecd6-c3b6-44f2-9c2d-dea675556a2e%2Fa71e56ae-f835-40b5-944a-7c85a509693d%2Fwekgruk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q5A) Consider a composite spherical shell comprising an insulating layer of unknown thermal
conductivity sandwiched between two layers of steel (k = 45 W/m. °C). The inner shell has
100 mm inner diameter and wall thickness of 5 mm. The outer shell has 150 mm inner
diameter and wall thickness of 2 mm. The inner surface of inner spherical shell was
experimentally found 120 °C while outer surface of outer spherical shell was at 67 °C. The
ambient air was at 30 °C with heat-transfer coefficient at outer surface 6 W/m². °C. Determine
thermal conductivity of insulating material. Then, experiment was repeated on another day when
ambient air temperature was 13 °C. The inner surface temperature of inner shell and convection
coefficient remained unchanged. Calculate temperature of outer surface of outer shell in this case.
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