Write the governing equation for energy balance in a heat generating wall.

The wall is 50mm thick and the wall material is wood. Both ends of the wall are kept at 25. The volumetric heat generation rate in the wall is 50000W/m3. Using the control volume approach, discretize the different equation representing energy balance in the wall.

Provide the discretized equations for the boundaries and an internal node. Consider height and width of the wall to be much larger than its thickness.