Qo = 4x107 W / m? heat is produced in a radioactive material with a spherical shape witha diameter of R = 0.2 m. The heat produced is released from the spherical surface to the environment in a stable regime. Thus, the temperature on the surface is kept constant at T3 = 80 ° C. The heat conduction coefficient of the object isgiven as k = 15W/m°C. The temperature of the spherical grass changes only in the radial direction. (T = T (r)). Temperature distribution in a spherical body: d 90 r² dr dr Itis defined as ajobtain the temperature distribution T (r) bìdetermine the boundary conditions. find the maximum temperature T i0

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Qo = 4x107 W/m3 heat is produced in a radioactive material with a spherical shape with a diameter of R = 0.2 m. The heat
produced is released from the spherical surface to the environment in a stable regime. Thus, the temperature on the surface is
kept constant at T3 = 80 ° C. The heat conduction coefficient of the object isgiven as k = 15W/m° C. The temperature of the
spherical grass changes only in the radial direction. (T = T (r}). Temperature distribution in a spherical body:
1 d
+
r² dr
It is defined as
aļobtain the temperature distribution T (r)
b}determine the boundary conditions. find the maximum temperature
T
io
inote: first think about where the maximum temperature might be.
Transcribed Image Text:Qo = 4x107 W/m3 heat is produced in a radioactive material with a spherical shape with a diameter of R = 0.2 m. The heat produced is released from the spherical surface to the environment in a stable regime. Thus, the temperature on the surface is kept constant at T3 = 80 ° C. The heat conduction coefficient of the object isgiven as k = 15W/m° C. The temperature of the spherical grass changes only in the radial direction. (T = T (r}). Temperature distribution in a spherical body: 1 d + r² dr It is defined as aļobtain the temperature distribution T (r) b}determine the boundary conditions. find the maximum temperature T io inote: first think about where the maximum temperature might be.
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