Question

A spherical steel container 3 feet in diameter is buried in a land fill. The container is filled with a chemical that keeps the outer surface of the container at 100°F, whereas the earth's surface is at 50°F. Determine the heat transfer from the container if it is buried under 3 feet of earth.

Answer 1

Q = 378.247 Bt/hr

Step-by-step explanation:

given data:

diameter of container = 3 m

so r = 1.5 m

T1 = 50°C

T2 = 100°C

depth y = 3 ft

Heat transfer is given as Q

`Q = SK\Delta T`

Where

S = Shape factor for the object

`S = (4\pi r)/(1-(r)/(2y))`

`S = (4\pi *1.5)/(1-(1.5)/(2*3))`

S = 25.132 ft

`Q = SK\Delta T`

Q = 25.132*0.301 *(100-50)

Q = 378.247 Bt/hr