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.

Data From Problem 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 

where α = 250 Btu/h ft², β = 1500 Btu/h ft², 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 lb_m/h ft², is used to cool the plates, prepare plots showing
a. The heat flux vs. x
b. The mean air temperature vs. x

Transcribed Image Text:

Tх = a+ ß sin-