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In: Mechanical Engineering

A plane wall has thickness of 5 cm, thermal conductivity of 2 W/mK and generates heat....

A plane wall has thickness of 5 cm, thermal conductivity of 2 W/mK and generates heat. The left face of the wall (x=0) has a surface temp. of 80C and has air at 20C flowing past it with a heat transfer coefficient of 50 W/m^2K. If the right face is insulated then the temperature distribution through the wall has a general format T(x)=A+B*x+C*x^2

(a) Draw a properly labeled diagram (including a representative temperature distribution), state all assumptions and calculate the volumetric energy generation in the wall.

(b) Apply appropriate boundary conditions to determine the coefficients A, B, and C for the temperature distribution through the wall.

(c) Where will the maximum temperature be located in the wall?

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