PROBLEM: VIE-6 BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD (You can answer my question even if it's rough or with a lot of assumptions, I just need an overview on how to solve this kind of problem for my exams and knowledge, Thanks.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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PROBLEM: VIE-6

BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD

(You can answer my question even if it's rough or with a lot of assumptions, I just need an overview on how to solve this kind of problem for my exams and knowledge, Thanks.)

6. Steady state neutron flux in a bare spherical reactor of radius R is approxi-
mately expressed as:
E
E \sin( / R)
Ø(F, E,Ñ):
Е еxp
4л
KT
r
where o, is the maximum flux at the center of the reactor. Use Equation VIe.1.4
and the relation between energy and velocity to find the number of neutrons in the
Gamma function properties are given in Chapter VII6.
reactor.
[Ans.
0,(2m)"(xT)³²R²].
3/2
Gamma function is defined by the integral:
T(x) = | e*dt
Note the following property of the gamma function T(z + 1) = zT(z). It can be
verified that I(1/2) = (7)"², T'(0) = ∞, T(1) = 1,., T(n) = (n – 1)!
(F , E) = n(F , E)V(E)
VIe.1.4
Transcribed Image Text:6. Steady state neutron flux in a bare spherical reactor of radius R is approxi- mately expressed as: E E \sin( / R) Ø(F, E,Ñ): Е еxp 4л KT r where o, is the maximum flux at the center of the reactor. Use Equation VIe.1.4 and the relation between energy and velocity to find the number of neutrons in the Gamma function properties are given in Chapter VII6. reactor. [Ans. 0,(2m)"(xT)³²R²]. 3/2 Gamma function is defined by the integral: T(x) = | e*dt Note the following property of the gamma function T(z + 1) = zT(z). It can be verified that I(1/2) = (7)"², T'(0) = ∞, T(1) = 1,., T(n) = (n – 1)! (F , E) = n(F , E)V(E) VIe.1.4
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