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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

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