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A plane wall of thickness $2 L$ has an internal heat generation that varies according to $\dot{q}=\dot{q}_0 \cos a x$, where $\dot{q}_0$ 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 $T_w$, derive an expression for the total heat loss from the wall per unit surface area.
Solution
VerifiedAnswered 2 years ago
Answered 2 years ago
Step 1
1 of 20Data given:

Thickness of the plain wall: $\delta=2L$

Heat generation variation function: $\dot{q}=\dot{q_0}\cos{ax}$
Where:
 $q_0$ is heat generated per unit volume at the center of the wall at $x=0$;
 $a$ is constant;
 Temperature on both sides of the wall: $T_w$.
Required:
 Drive the expression for the heat loss per unit area.
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