A wall is made from an inhomogeneous (nonuniform) material for which the thermal conductivity varies through the thickness according to k = ax + b, where a and b are constants. The heat flux q"q" is known to be constant. Determine expressions for the temperature gradient and the temperature distribution when the surface at x = 0 is at temperature T1. Use the following values a = 11 W/K b = 25 W/m-K k = 11x + 25 W/m-K q"q" = 104 W/m^2 T1 = 60 C
A wall is made from an inhomogeneous (nonuniform) material for which the thermal conductivity varies through the thickness according to k = ax + b, where a and b are constants. The heat flux q"q" is known to be constant. Determine expressions for the temperature gradient and the temperature distribution when the surface at x = 0 is at temperature T1. Use the following values a = 11 W/K b = 25 W/m-K k = 11x + 25 W/m-K q"q" = 104 W/m^2 T1 = 60 C
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.
Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.38P
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A wall is made from an inhomogeneous (nonuniform) material for which the thermal conductivity varies through the thickness according to k = ax + b, where a and b are constants. The heat flux q"q" is known to be constant.
Determine expressions for the temperature gradient and the temperature distribution when the surface at x = 0 is at temperature T1.
Use the following values
a = 11 W/K
b = 25 W/m-K
k = 11x + 25 W/m-K
q"q" = 104 W/m^2
T1 = 60 C
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