Chapter 2, Problem 2.32P

(a)

To determine

The sketch of temperature distribution and identify significant physical features.

(b)

To determine

The volumetric rate of heat generation $\dot{q}$ in the wall.

(c)

To determine

The surface heat flux $q_x"\left(-L\right)$ and $q_x"\left(+L\right)$ .

(d)

To determine

The convection coefficient for the surfaces at $x=-L$ and $x=+L$ .

(e)

To determine

The expression for the heat flux distribution $q{"}_x\left(x\right)$ .

(f)

To determine

The rate of change of energy stored in the wall when source of heat generation is suddenly deactivated.

(g)

To determine

The temperature of wall when eventually $\dot{q}=0$ and amount of energy must be removed by the fluid per unit area of the wall to reach this state.