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 (L² = D/E). Show that the general solution for flux inside the sphere is given by: Ø(r) = Le-rlL 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= g/r]. 2R Point Source Problem 39 Problem 40 Problem 41 1 d dø(r) s(r) Vle.2.14 r? dr dr D D 40. Solve problem 39 considering the sphere is located in an infinite medium made up of water. made up of water.
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 (L² = D/E). Show that the general solution for flux inside the sphere is given by: Ø(r) = Le-rlL 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= g/r]. 2R Point Source Problem 39 Problem 40 Problem 41 1 d dø(r) s(r) Vle.2.14 r? dr dr D D 40. Solve problem 39 considering the sphere is located in an infinite medium made up of water. made up of water.
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![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)
-$(r) =
D
VIe.2.14
p2 dr
dr
40. Solve problem 39 considering the sphere is located in an infinite medium
made up of water.
made up of water.
.---
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F713f81eb-fbbe-4ea6-84c0-f9efe0c47473%2F093806e2-7b75-45a3-bd60-6041d50be801%2Fmzoqzft_processed.png&w=3840&q=75)
Transcribed Image Text:39. An isotropic point source emitting S, neutrons/s is placed in the center of a
bare sphere of radius R. The sphere is made up of carbon (L = D/E.). Show that
the general solution for flux inside the sphere is given by:
Ø(r) =
Le-rl +으
r
r
where C and C2 are constants of integration. Apply the boundary conditions and
find the neutron flux anywhere at r = R/2. [Hint: Start with Equation VIe.2.14
and make a change of function; ø = plr].
2R
Point Source
Problem 39
Problem 40
Problem 41
1 d
dø(r)]_ E.
s(r)
-$(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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