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).

Elements Of Electromagnetics
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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
Transcribed Image Text:(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
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