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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A wall is made from an inhomogeneous (nonuniform) material for which the thermal conductivity varies through the thickness according k=ax+b, where a and b areconstants. The heat flux is known to be constant. Determine expressions for the temperature gradient and the temperature distribution when the surface at x=0 is attemperature T1.
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