e general solution for flux inside the sphere is given by: Ø(r) = ierIL + C2 erle r here C¡ and C2 are constants of integration. Apply the boundary conditions and nd the neutron flux anywhere at r = R/2. [Hint: Start with Equation VIe.2.14 nd make a change of function; Ø = ø/r]. %3D 2R Point Source Problem 39 Problem 40 Problem 41 dør) ] _ 2= or)= 1 d s(r) 2 Vle.2.14 .2 dr D D 8.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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PROBLEM: VIE-40

BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD

39. An isotropic point source emitting S, neutrons/s is placed in the center of a
bare sphere of radius R. The sphere is made up of carbon (L = D/E.). Show that
the general solution for flux inside the sphere is given by:
Ø(r) =
Le-rl +으
r
r
where C and C2 are constants of integration. Apply the boundary conditions and
find the neutron flux anywhere at r = R/2. [Hint: Start with Equation VIe.2.14
and make a change of function; ø = plr].
2R
Point Source
Problem 39
Problem 40
Problem 41
1 d
dø(r)]_ E.
s(r)
-$(r) =
D
VIe.2.14
p2 dr
dr
40. Solve problem 39 considering the sphere is located in an infinite medium
made up of water.
made up of water.
.---
8
Transcribed Image Text:39. An isotropic point source emitting S, neutrons/s is placed in the center of a bare sphere of radius R. The sphere is made up of carbon (L = D/E.). Show that the general solution for flux inside the sphere is given by: Ø(r) = Le-rl +으 r r where C and C2 are constants of integration. Apply the boundary conditions and find the neutron flux anywhere at r = R/2. [Hint: Start with Equation VIe.2.14 and make a change of function; ø = plr]. 2R Point Source Problem 39 Problem 40 Problem 41 1 d dø(r)]_ E. s(r) -$(r) = D VIe.2.14 p2 dr dr 40. Solve problem 39 considering the sphere is located in an infinite medium made up of water. made up of water. .--- 8
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