Question

heat transfer

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” is known to be constant.

a)     Determine expressions for the temperature gradient and the temperature distribution if the surface at x= 0 is temperature T1.

b)     If the values are given as a = 50  , b= 200  , q” =1200  , T1= 500 K and 0 ≤ x ≤ 1 m , plot the temperature distribution in the wall with a step if 0.1 m increment in x. 

 


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