The steady-state temperature distribution in a one[1]dimensional wall of thermal conductivity 50 W /m · K and thickness 40 mm is observed to be T(°C) = a + bx² , where a = 200°C, b = -2000°C/m2,and x is in meters. (a) What is the heat generation rate in the wall? (b) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
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Problem 2.29P: 2.29 In a cylindrical fuel rod of a nuclear reactor, heat is generated internally according to the...
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The steady-state temperature distribution in a one[1]dimensional wall of thermal conductivity 50 W /m · K and thickness 40 mm is observed to be
T(°C) = a + bx², where a = 200°C, b = -2000°C/m2, and x is in meters. (a) What is the heat generation rate in the wall? (b) Determine the heat fluxes at
the two wall faces. In what manner are these heat fluxes related to the heat generation rate?
Transcribed Image Text:The steady-state temperature distribution in a one[1]dimensional wall of thermal conductivity 50 W /m · K and thickness 40 mm is observed to be T(°C) = a + bx², where a = 200°C, b = -2000°C/m2, and x is in meters. (a) What is the heat generation rate in the wall? (b) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate?
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