A spacecraft radioisotope thermoelectric generator (RTG) contains a cylindrical nuclear element, pictured below. The nuclear element generates q̇g = 200 kW/m3. The RTG is surrounded by eight (N = 8) identical rectangular fins. Each fin’s height (H), length (L), and thickness (t) are given in the picture. The fins are directly machined from a stainless steel cladding of inner and outer radii r1 and r2, respectively. The stainless steel has thermal conductivity of k = 18 W/m·K. Assume that the RTG is in a well-ventilated lab, where the convection heat transfer coefficient is h = 20 W/m2·K and the surrounding temperature is T = 20°C. Ignore effects of thermal radiation. (a) Calculate the fin efficiency of a single rectangular fin, f. (b) Calculate the overall fin efficiency of the entire eight fin array, Obtain the maximum temperature in the stainless steel cladding, T(r1).
A spacecraft radioisotope thermoelectric generator (RTG) contains a cylindrical nuclear element, pictured below. The nuclear element generates q̇g = 200 kW/m3. The RTG is surrounded by eight (N = 8) identical rectangular fins. Each fin’s height (H), length (L), and thickness (t) are given in the picture. The fins are directly machined from a stainless steel cladding of inner and outer radii r1 and r2, respectively. The stainless steel has thermal conductivity of k = 18 W/m·K. Assume that the RTG is in a well-ventilated lab, where the convection heat transfer coefficient is h = 20 W/m2·K and the surrounding temperature is T = 20°C. Ignore effects of thermal radiation. (a) Calculate the fin efficiency of a single rectangular fin, f. (b) Calculate the overall fin efficiency of the entire eight fin array,
Obtain the maximum temperature in the stainless steel cladding, T(r1).
![(c) Obtain the maximum temperature in the stainless steel cladding, T(ri).
t = 2 mm
H=
24 cm
k = 18 W/m.K
åg
L = 6 cm
r₂ = 5 cm
r₁ = 3 cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4fc556c3-d71d-4c84-8ef0-69f5ba918906%2Fb986bf02-9c9f-4d9e-8311-6c2589355fbc%2Fvcxf76_processed.png&w=3840&q=75)
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