Chapter 4, Problem 4.8P

(a)

To determine

The expression for the shape factor, $S_{\max }$ , associated with maximum top surface temperature, such that $q=S_{\max }k\left(T_{2,\max }-T_1\right)$ where $T_{2\max }$ is the maximum temperature along $y=W$ .

(b)

To determine

The expression for the shape factor, $S_{\text{avg}}$ , associated with average top surface temperature, such that $q=S_{\text{avg}}k\left({\overline{T}}_2-T_1\right)$ where ${\overline{T}}_2$ is the average temperature along $y=W$ .

(c)

To determine

The shape factor of the plate for the maximum temperature.

The shape factor of the plate for the average temperature.

The maximum temperature of the plate.

The average temperature of the plate.