19.4 The fuel plates in a nuclear reactor are 4 ft long and
stacked with a 1/2-in. gap between them. The heat flux along the
plate surfaces varies sinusoidally according to the equation
$\frac{q}{A} = \alpha + \beta \sin\frac{\pi x}{L}$
where $\alpha = 250 Btu/h ft^2$, $\beta = 1500 Btu/h ft^2$, x is the distance
from the leading edge of the plates, and L is the total plate
length. If air at 120°F, 80 psi, flowing at a mass velocity of
6000 lbm/h ft², is used to cool the plates, prepare plots showing
a. the heat flux vs. x
b. the mean air temperature vs. x
19.5 Given the information in Problem 19.4, determine the
total heat transferred for a stack of plates with a combined
surface area of 640 ft², each plate being 4 ft wide.
