In a 60 mm diameter cylindrical nuclear reactor fuel rod é ü, 1 = 3.929 x 107 W / m3 uniformly distributed There is heat generation and the temperature distribution in continuous regime is given by the equation T (r) = a + br2. Here, A = 650 ° Ć and b = -3.274 x 105 ° C in T (° C) and r (m) units. The properties of the rod k = 30 W / m. K, p = 1100 kg / m3 and cp = 800 J / kg · K' (a) What is the heat conduction (W 7 m) from the unit length of the rod at r = 0 (axis) and r = 30 mm (surface)? (b) Reactor power level suddenly ė If ü is increased to 2 = 108 W / m3, at r = 0 and r = 30 mm the temperature will be What is the change (aT / at) with time?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.13P
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In a 60 mm diameter cylindrical nuclear
reactor fuel rod ė ü, 1 = 3.929 × 107 W / m3
uniformly distributed There is heat generation
and the temperature distribution in
continuous regime is given by the equation T
= a + br2. Here, A = 650 ° C and b = -3.274
x 105 ° C in T (° C) and r (m) units. The
properties of the rod k = 30 W / m. K, p =
1100 kg / m3 and cp = 800 J/ kg · K: (a)
What is the heat conduction (W 7 m) from the
unit length of the rod at r = 0 (axis) and r =
mm (surface)? (b) Reactor power level
suddenly ė lf ü is increased to 2 = 108 W / m3,
at r = 0 andr=
be What is the change (@T / at) with time?
30 mm the temperature will
Transcribed Image Text:In a 60 mm diameter cylindrical nuclear reactor fuel rod ė ü, 1 = 3.929 × 107 W / m3 uniformly distributed There is heat generation and the temperature distribution in continuous regime is given by the equation T = a + br2. Here, A = 650 ° C and b = -3.274 x 105 ° C in T (° C) and r (m) units. The properties of the rod k = 30 W / m. K, p = 1100 kg / m3 and cp = 800 J/ kg · K: (a) What is the heat conduction (W 7 m) from the unit length of the rod at r = 0 (axis) and r = mm (surface)? (b) Reactor power level suddenly ė lf ü is increased to 2 = 108 W / m3, at r = 0 andr= be What is the change (@T / at) with time? 30 mm the temperature will
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