Question: The inside surface at z = 0 off a plane wall is heated by a hot gas flowing at temperature T 1 , and the

The inside surface at

z = 0

off a plane wall is heated by a hot gas flowing at temperature

T_{1},

and the outside surface at

z = L

is cooled by a cold gas flowing at temperature

T_{2} .

The heat transfer coefficients for the hot side and cold side are

h_{1}

and

h_{2},

respectively. Write the governing heat equation and boundary conditions for the inside and outside surfaces. I am confused on how to solve this correctly and the process to get to the final solution.

The inside surface at z = 0 off a plane wall is

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