Radioactive wastes are temporarily stored in a spherical container, the center of which is buried a distance of 10 m below the earth's surface. the outside diameter of the container is 2 m, and 500 w of heat are released as a result of radioactive decay. if the soil surface temperature is 20°c, what is the outside surface temperature of the container under steady-state conditions? the thermal conductivity of soil is k = 0.52 w/mk.

Given:

outer radius, R' = 10 m

inner diameter, d = 2 m

inner radius, R = = 1 m

surface temperature, T' =

Thermal conductivity of soil, K = 0.52 W/mK

Solution:

To calculate the thermal temperature of conductor, T, we know amount of heat, Q is given by :

Q =  

500 =  

T = 68.86 +20 =  

Therefore, outside surface temperature is  

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