II M Q1/A long cylindrical shell of inner radius R, = 1 cm, outer radius R₂ = 2 cm, and length L = 10 m is shown in the Figure. The inner wall of cylindrical shell is maintained at constant temperature T, = 10 C and outer wall is maintained at constant tenperature T2 = 20 C. Calculate the temperature at r= 1.5 cm (Consider radial conduction only). Assumptions: System is in steady state. Thermal conductivity, k = 22.5 W/m C, is constant. System follows Fourier's law of heat conduction. Heat loss in axial direction is negligible, R₁ T₁ R₂ T₂

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.21P
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Q1/A long cylindrical shell of inner radius R, = 1 cm, outer radius R₂ = 2 cm, and length L =
10 m is shown in the Figure. The inner wall of cylindrical shell is maintained at constant
temperature T₁ = 10 C and outer wall is maintained at constant temperature T2
Calculate the temperature at r = 1.5 cm (Consider radial conduction only).
20 C.
Assumptions:
System is in steady state.
Thermal conductivity, k= 22.5 W/m C, is constant.
System follows Fourier's law of heat conduction.
Heat loss in axial direction is negligible,
T₁
-
R₂
T₂
Transcribed Image Text:Q1/A long cylindrical shell of inner radius R, = 1 cm, outer radius R₂ = 2 cm, and length L = 10 m is shown in the Figure. The inner wall of cylindrical shell is maintained at constant temperature T₁ = 10 C and outer wall is maintained at constant temperature T2 Calculate the temperature at r = 1.5 cm (Consider radial conduction only). 20 C. Assumptions: System is in steady state. Thermal conductivity, k= 22.5 W/m C, is constant. System follows Fourier's law of heat conduction. Heat loss in axial direction is negligible, T₁ - R₂ T₂
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