(Solution) - A plane wall of thickness 2L has internal heat sources -(2025 Original AI-Free Solution)

Paper Details

A plane wall of thickness 2L has internal heat sources whose strength varies according to
q?G = q?0 cos (ax)
where q?0 is the heat generated per unit volume at the center of the wall (x = 0) and a is a constant. If both sides of the wall are maintained at a constant temperature of Tw, derive an expression for the total heat loss from the wall per unit surface area.
GIVEN
A plane wall with internal heat sources
Heat source strength: q?G = q?0 cos (ax)
Wall surface temperatures = Tw
Wall thickness = 2L
ASSUMPTIONS
Steady state conditions prevail
The thermal conductivity of the wall (k) is constant
One dimensional conduction within thewall