1-) Assume steady-state, one-dimensional heat conduction through the symmetric shape shown. Assuming that there is no internal heat generation, derive an expression for the themal conductivity k(x) for these conditions: A(x) = (1- x), T(x) = 300(1- 2x- x), and q = 6000 W, where A is in %3D %3D square meters, T'in kelvins, and x in meters.

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 2.63P
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1-) Assume steady-state, one-dimensional heat conduction
- through the symmetric shape shown. Assuming that there is no
internal heat generation, derive an expression for the thermal
conductivity k(x) for these conditions: A(x) = (1- x),
T(x) = 300(1 – 2x- x), and q = 6000W, where A is in
%3D
square meters, T in kelvins, and x in meters.
Transcribed Image Text:1-) Assume steady-state, one-dimensional heat conduction - through the symmetric shape shown. Assuming that there is no internal heat generation, derive an expression for the thermal conductivity k(x) for these conditions: A(x) = (1- x), T(x) = 300(1 – 2x- x), and q = 6000W, where A is in %3D square meters, T in kelvins, and x in meters.
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