Stainless steel Iss Nuclear waste 9, w aconv T5,0 -Tsi • Constant properties • Negligible radiation on the surface • There is no contact resistance between the waste and the container Water hwater Twater Radioactive wastes [Arw= 20 W/(K·m)] are stored in a spherical, stainless steel [Ass= 15 W/(K·m)] container of inner and outer radii equal to r;= 0.5 m and ro = 0.6 m. Heat is generated volumetrically within the wastes at a uniform rate of g = 1.2 x 105 W/m³, and the outer surface of the container is exposed to a water flow for which h = 1000 W/(m²K) and Twater = 25°C. Calculate considering the following hypotheses: • Steady state • One-dimensional conduction in the radial direction In spherical coordinates and for one-dimensional flow, the Fourier heat diffusion law is expressed as: 1 d 금(?)=-읏 dr (note that the boundary condition for r = 0 is that dT/dr = 0)

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1 The temperature of the outer surface of the container T5,0
2 The temperature of the inside surface of the container Ts,i
3 The temperature at the center of the waste sphere (r = 0)
°℃
°℃
°℃
Transcribed Image Text:1 The temperature of the outer surface of the container T5,0 2 The temperature of the inside surface of the container Ts,i 3 The temperature at the center of the waste sphere (r = 0) °℃ °℃ °℃
Stainless steel
Iss
1 d
Nuclear
waste
==
9, w
g
A
a conv
Radioactive wastes [Arw= 20 W/(K-m)] are stored in a spherical, stainless steel [Ass= 15 W/(K·m)] container of inner and outer radii equal to r₂ =
0.5 m and ro = 0.6 m.
T5,0
-Tsi
Heat is generated volumetrically within the wastes at a uniform rate of g = 1.2 x 105 W/m³, and the outer surface of the container is exposed
to a water flow for which h = 1000 W/(m²K) and Twater = 25°C.
Calculate considering the following hypotheses:
• Steady state
• One-dimensional conduction in the radial direction
• Constant properties
• Negligible radiation on the surface
• There is no contact resistance between the waste and the container
Water
hwater
Twater
In spherical coordinates and for one-dimensional flow, the Fourier heat diffusion law is expressed as:
- (₁2 dT)
dr
dr
(note that the boundary condition for r = 0 is that dT/dr = 0)
Transcribed Image Text:Stainless steel Iss 1 d Nuclear waste == 9, w g A a conv Radioactive wastes [Arw= 20 W/(K-m)] are stored in a spherical, stainless steel [Ass= 15 W/(K·m)] container of inner and outer radii equal to r₂ = 0.5 m and ro = 0.6 m. T5,0 -Tsi Heat is generated volumetrically within the wastes at a uniform rate of g = 1.2 x 105 W/m³, and the outer surface of the container is exposed to a water flow for which h = 1000 W/(m²K) and Twater = 25°C. Calculate considering the following hypotheses: • Steady state • One-dimensional conduction in the radial direction • Constant properties • Negligible radiation on the surface • There is no contact resistance between the waste and the container Water hwater Twater In spherical coordinates and for one-dimensional flow, the Fourier heat diffusion law is expressed as: - (₁2 dT) dr dr (note that the boundary condition for r = 0 is that dT/dr = 0)
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