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

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Mechanical Engineering

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

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

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

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

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