43. A two-stream annular fuel rod includes inner and outer cladding. Use the fol- lowing data and determine equation for temperature as a function of radius for the inner clad, fuel, and the outer clad regions. Also find the maximum temperature and its location. Data: R1 = 0.25 in, R2 = 0.27 in, R3 = 0.55 in, R4 = 0.58 in, ģ´ = 11 kW/ft, kf = 3.5 W/m-C, kc = 11 W/m-C, T; = 350 C, T, = 300 C, h; = 6,000 W/m²-C, h, = 4500 W/m²-C. [Ans.: r(Tmax)= 0.39 in, Tmax = 546 C, T = 182lnr + 1330, Tp = -5.543E6,² +1090lnr + 6120, Tco = -3321nr -1040 where r is in meter and T in degrees Centi- %3D %3D

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ENGINEERING THERMOFLUIDS, M. MASSOUD

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43. A two-stream annular fuel rod includes inner and outer cladding. Use the fol-
lowing data and determine equation for temperature as a function of radius for the
inner clad, fuel, and the outer clad regions. Also find the maximum temperature
and its location.
Data: R1 = 0.25 in, R2 = 0.27 in, R3 = 0.55 in, R4 = 0.58 in, ġ' = 11 kW/ft, kf =
3.5 W/m-C, kc = 11 W/m-C, T; = 350 C, T, = 300 C, h; = 6,000 W/m².C, h, = 4500
W/m²-C.
[Ans.: r(Tmar)= 0.39 in, Tmax = 546 C, Tj = 1821nr + 1330, Tp = -5.543E6r
+1090lnr + 6120, Teo = -332lnr –1040 where r is in meter and T in degrees Centi-
grade].
тах
Transcribed Image Text:43. A two-stream annular fuel rod includes inner and outer cladding. Use the fol- lowing data and determine equation for temperature as a function of radius for the inner clad, fuel, and the outer clad regions. Also find the maximum temperature and its location. Data: R1 = 0.25 in, R2 = 0.27 in, R3 = 0.55 in, R4 = 0.58 in, ġ' = 11 kW/ft, kf = 3.5 W/m-C, kc = 11 W/m-C, T; = 350 C, T, = 300 C, h; = 6,000 W/m².C, h, = 4500 W/m²-C. [Ans.: r(Tmar)= 0.39 in, Tmax = 546 C, Tj = 1821nr + 1330, Tp = -5.543E6r +1090lnr + 6120, Teo = -332lnr –1040 where r is in meter and T in degrees Centi- grade]. тах
44. Plot the steady state temperature distribution for the fuel rod of Problem 43.
[Ans.: The key temperatures are T# = 350 C, T(R¡) = 409 C, T(R2) = 423 C, Tmax
546 C, T(R3) = 0.378 C, T(R4) = 360 C, T, = 300 C. Find the temperature of sev-
eral other points, especially in the fuel region].
Transcribed Image Text:44. Plot the steady state temperature distribution for the fuel rod of Problem 43. [Ans.: The key temperatures are T# = 350 C, T(R¡) = 409 C, T(R2) = 423 C, Tmax 546 C, T(R3) = 0.378 C, T(R4) = 360 C, T, = 300 C. Find the temperature of sev- eral other points, especially in the fuel region].
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