The fuel plates in a nuclear reactor are 4 ft long and stacked with a 1/2-in. gap between...

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 lbm/h ft2, is used to cool the plates, prepare plots showing

a. the heat flux vs. x

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b. the mean air temperature vs. x